27:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento espacial, numérico y variacional:@0.522009:0.043661:0.926913:0.043661:0.926913:0.024916:0.522009:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. Analiza las propiedades de la gráfica de una variedad de funciones en el plano cartesiano.:@0.081101:0.971366:0.593394:0.971366:0.593394:0.959939:0.081101:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la vida, encontra-:@0.739544:0.357509:0.880969:0.357509:0.880969:0.342511:0.739544:0.342511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos fenómenos que se :@0.739543:0.373395:0.907535:0.373395:0.907535:0.358396:0.739543:0.358396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comportan de manera :@0.739543:0.389280:0.901718:0.389280:0.901718:0.374282:0.739543:0.374282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineal, todo el tiempo o :@0.739543:0.405166:0.904916:0.405166:0.904916:0.390167:0.739543:0.390167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en ciertos momentos. :@0.739543:0.421051:0.896078:0.421051:0.896078:0.406053:0.739543:0.406053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estos se pueden graficar :@0.739543:0.436936:0.913105:0.436936:0.913105:0.421938:0.739543:0.421938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con funciones definidas :@0.739543:0.452822:0.910153:0.452822:0.910153:0.437823:0.739543:0.437823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por tramos, llamadas fun-:@0.739543:0.468707:0.917533:0.468707:0.917533:0.453709:0.739543:0.453709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones reales a trozos.:@0.739543:0.484593:0.890070:0.484593:0.890070:0.469594:0.739543:0.469594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, en el con-:@0.739544:0.609065:0.900561:0.609065:0.900561:0.594066:0.739544:0.594066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumo de electricidad, :@0.739544:0.624950:0.893460:0.624950:0.893460:0.609952:0.739544:0.609952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede haber una tarifa :@0.739544:0.640835:0.903056:0.640835:0.903056:0.625837:0.739544:0.625837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para los primeros 100 :@0.739544:0.656721:0.893603:0.656721:0.893603:0.641722:0.739544:0.641722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kWh y otra para con-:@0.739544:0.672606:0.884536:0.672606:0.884536:0.657608:0.739544:0.657608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumos mayores, lo que se :@0.739544:0.688492:0.922629:0.688492:0.922629:0.673493:0.739544:0.673493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
describe con una función :@0.739544:0.704377:0.921557:0.704377:0.921557:0.689379:0.739544:0.689379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a trozos: una fórmula para :@0.739544:0.720262:0.924298:0.720262:0.924298:0.705264:0.739544:0.705264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consumos bajos y otra :@0.739544:0.736148:0.900719:0.736148:0.900719:0.721149:0.739544:0.721149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para altos.:@0.739544:0.752033:0.810020:0.752033:0.810020:0.737035:0.739544:0.737035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740096:0.323991:0.848657:0.323991:0.848657:0.307044:0.740096:0.307044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740096:0.340633:0.837572:0.340633:0.837572:0.323686:0.740096:0.323686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 2.14:@0.861147:0.285878:0.919006:0.285878:0.919006:0.274450:0.861147:0.274450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.900213:0.231794:0.906651:0.231794:0.906651:0.218464:0.900213:0.218464:0.000000
y:@0.762643:0.145666:0.769098:0.145666:0.769098:0.132336:0.762643:0.132336:0.000000
2 2 2:@0.704681:0.228964:0.757192:0.228964:0.757192:0.218989:0.704681:0.218989:0.000000:0.000000:0.000000:0.000000:0.000000
3  2  1 0  1 :@0.715832:0.229367:0.797888:0.229367:0.797888:0.217940:0.715832:0.217940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  3  4  5:@0.811851:0.229367:0.878626:0.229367:0.878626:0.217940:0.811851:0.217940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = x – 2:@0.835362:0.213821:0.876715:0.213821:0.876715:0.202595:0.835362:0.202595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.765160:0.165580:0.771693:0.165580:0.771693:0.154153:0.765160:0.154153:0.000000
3:@0.765160:0.179448:0.771693:0.179448:0.771693:0.168021:0.765160:0.168021:0.000000
2:@0.765160:0.193316:0.771693:0.193316:0.771693:0.181889:0.765160:0.181889:0.000000
1:@0.765160:0.207185:0.771693:0.207185:0.771693:0.195757:0.765160:0.195757:0.000000
2:@0.776539:0.240226:0.787691:0.240226:0.787691:0.230251:0.776539:0.230251:0.000000
1:@0.787691:0.240630:0.794224:0.240630:0.794224:0.229202:0.787691:0.229202:0.000000
2:@0.776539:0.254094:0.787691:0.254094:0.787691:0.244119:0.776539:0.244119:0.000000
2:@0.787691:0.254498:0.794224:0.254498:0.794224:0.243070:0.787691:0.243070:0.000000
Sea   la función real, definida como :@0.073089:0.136836:0.332755:0.136836:0.332755:0.121124:0.073089:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.102714:0.136836:0.110445:0.136836:0.110445:0.121401:0.102714:0.121401:0.000000
x:@0.360980:0.169051:0.368435:0.169051:0.368435:0.153615:0.360980:0.153615:0.000000
 :@0.368435:0.169051:0.372467:0.169051:0.372467:0.153338:0.368435:0.153338:0.000000
2 :@0.372467:0.168496:0.392402:0.168496:0.392402:0.154780:0.372467:0.154780:0.000000:0.000000
1, si :@0.392402:0.169051:0.425958:0.169051:0.425958:0.153338:0.392402:0.153338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   x :@0.404587:0.169051:0.436726:0.169051:0.436726:0.153615:0.404587:0.153615:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.436726:0.168496:0.456661:0.168496:0.456661:0.154780:0.436726:0.154780:0.000000:0.000000
2,:@0.456661:0.169051:0.468847:0.169051:0.468847:0.153338:0.456661:0.153338:0.000000:0.000000
 :@0.468847:0.169051:0.472160:0.169051:0.472160:0.153615:0.468847:0.153615:0.000000
x:@0.368527:0.221916:0.375982:0.221916:0.375982:0.206481:0.368527:0.206481:0.000000
 :@0.375982:0.221916:0.380014:0.221916:0.380014:0.206204:0.375982:0.206204:0.000000
1 :@0.380014:0.221362:0.399949:0.221362:0.399949:0.207646:0.380014:0.207646:0.000000:0.000000
2, si :@0.399949:0.221916:0.433505:0.221916:0.433505:0.206204:0.399949:0.206204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   x :@0.412134:0.221916:0.444273:0.221916:0.444273:0.206481:0.412134:0.206481:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.444273:0.221362:0.464208:0.221362:0.464208:0.207646:0.444273:0.207646:0.000000:0.000000
4.:@0.464208:0.221916:0.476394:0.221916:0.476394:0.206204:0.464208:0.206204:0.000000:0.000000
 :@0.476394:0.221916:0.479707:0.221916:0.479707:0.206481:0.476394:0.206481:0.000000
x:@0.343273:0.195913:0.350728:0.195913:0.350728:0.180478:0.343273:0.180478:0.000000
 :@0.350728:0.195913:0.354759:0.195913:0.354759:0.180201:0.350728:0.180201:0.000000
2 :@0.354759:0.195359:0.374694:0.195359:0.374694:0.181643:0.354759:0.181643:0.000000:0.000000
2, si 2:@0.374694:0.195913:0.417233:0.195913:0.417233:0.180201:0.374694:0.180201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.386879:0.195913:0.393506:0.195913:0.393506:0.180478:0.386879:0.180478:0.000000:0.000000
 :@0.417233:0.195913:0.420546:0.195913:0.420546:0.180478:0.417233:0.180478:0.000000
#  # :@0.420546:0.195359:0.471185:0.195359:0.471185:0.181643:0.420546:0.181643:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.440481:0.195913:0.451250:0.195913:0.451250:0.180478:0.440481:0.180478:0.000000:0.000000
4,:@0.471185:0.195913:0.483370:0.195913:0.483370:0.180201:0.471185:0.180201:0.000000:0.000000
 :@0.483362:0.195907:0.486675:0.195907:0.486675:0.180472:0.483362:0.180472:0.000000
5:@0.337792:0.233038:0.341837:0.233038:0.341837:0.143070:0.337792:0.143070:0.000000
v x:@0.294433:0.197653:0.314497:0.197653:0.314497:0.182218:0.294433:0.182218:0.000000:0.000000:0.000000
( ) :@0.302164:0.197653:0.323406:0.197653:0.323406:0.181941:0.302164:0.181941:0.000000:0.000000:0.000000:0.000000
5:@0.323406:0.197099:0.338739:0.197099:0.338739:0.183383:0.323406:0.183383:0.000000
1:@0.345269:0.160771:0.354660:0.160771:0.354660:0.144345:0.345269:0.144345:0.000000
2:@0.344635:0.181098:0.354026:0.181098:0.354026:0.164672:0.344635:0.164672:0.000000
1:@0.349234:0.213517:0.358625:0.213517:0.358625:0.197090:0.349234:0.197090:0.000000
10:@0.343994:0.233847:0.362699:0.233847:0.362699:0.217420:0.343994:0.217420:0.000000:0.000000
Esta es una función afín a trozos. En cada intervalo,   es estrictamente creciente. :@0.073089:0.261970:0.662788:0.261970:0.662788:0.246258:0.073089:0.246258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.449918:0.261970:0.457649:0.261970:0.457649:0.246535:0.449918:0.246535:0.000000
Para     2, la semirrecta tiene una pendiente :@0.073103:0.284659:0.406477:0.284659:0.406477:0.268946:0.073103:0.268946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.108095:0.284659:0.115550:0.284659:0.115550:0.269223:0.108095:0.269223:0.000000
,:@0.119894:0.284104:0.135227:0.284104:0.135227:0.270388:0.119894:0.270388:0.000000
m:@0.406808:0.284659:0.421423:0.284659:0.421423:0.269223:0.406808:0.269223:0.000000
1:@0.421341:0.287836:0.426578:0.287836:0.426578:0.278675:0.421341:0.278675:0.000000
    ,  para      2, 4 , la porción :@0.426545:0.284664:0.662968:0.284664:0.662968:0.268951:0.426545:0.268951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.430926:0.284109:0.446260:0.284109:0.446260:0.270393:0.430926:0.270393:0.000000
1:@0.454275:0.274711:0.463666:0.274711:0.463666:0.258284:0.454275:0.258284:0.000000
2:@0.453640:0.295038:0.463031:0.295038:0.463031:0.278611:0.453640:0.278611:0.000000
x:@0.512802:0.284664:0.520257:0.284664:0.520257:0.269228:0.512802:0.269228:0.000000
[:@0.524601:0.284525:0.539934:0.284525:0.539934:0.270476:0.524601:0.270476:0.000000
F:@0.544260:0.285246:0.548346:0.285246:0.548346:0.267592:0.544260:0.267592:0.000000
G  :@0.573675:0.285246:0.585437:0.285246:0.585437:0.267592:0.573675:0.267592:0.000000:0.000000:0.000000
de recta tiene una pendiente :@0.073126:0.307352:0.298092:0.307352:0.298092:0.291639:0.073126:0.291639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.299351:0.307352:0.313967:0.307352:0.313967:0.291917:0.299351:0.291917:0.000000
2:@0.314035:0.310227:0.319034:0.310227:0.319034:0.301483:0.314035:0.301483:0.000000
   1 y para   :@0.319107:0.307357:0.422501:0.307357:0.422501:0.291644:0.319107:0.291644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.324335:0.306802:0.339668:0.306802:0.339668:0.293087:0.324335:0.293087:0.000000
x:@0.410904:0.307357:0.418359:0.307357:0.418359:0.291922:0.410904:0.291922:0.000000
[:@0.423697:0.307218:0.439031:0.307218:0.439031:0.293170:0.423697:0.293170:0.000000
G:@0.439178:0.307939:0.443264:0.307939:0.443264:0.290285:0.439178:0.290285:0.000000
4,  , la semirrecta tiene una :@0.443412:0.307357:0.662870:0.307357:0.662870:0.291644:0.443412:0.291644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
`:@0.461082:0.306802:0.473360:0.306802:0.473360:0.293087:0.461082:0.293087:0.000000
F:@0.473507:0.307939:0.477594:0.307939:0.477594:0.290285:0.473507:0.290285:0.000000
pendiente :@0.073076:0.330045:0.152551:0.330045:0.152551:0.314333:0.073076:0.314333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.152411:0.330045:0.167027:0.330045:0.167027:0.314610:0.152411:0.314610:0.000000
3:@0.166975:0.333223:0.172212:0.333223:0.172212:0.324062:0.166975:0.324062:0.000000
    . :@0.172166:0.330050:0.220767:0.330050:0.220767:0.314338:0.172166:0.314338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.176123:0.329496:0.191456:0.329496:0.191456:0.315780:0.176123:0.315780:0.000000
1:@0.199535:0.320797:0.208927:0.320797:0.208927:0.304370:0.199535:0.304370:0.000000
10:@0.194301:0.341124:0.213006:0.341124:0.213006:0.324697:0.194301:0.324697:0.000000:0.000000
En la Figura 2.14 se muestra la gráfica de esta función.:@0.073089:0.356699:0.460777:0.356699:0.460777:0.340986:0.073089:0.340986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.5 Función potencia entera negativa :@0.073089:0.383353:0.368267:0.383353:0.368267:0.366407:0.073089:0.366407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   la función de ]0,  [ en ]0,  [, definida como   ( ) :@0.073089:0.418357:0.464192:0.416525:0.464192:0.400812:0.073089:0.402644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.102706:0.418357:0.110437:0.418357:0.110437:0.402921:0.102706:0.402921:0.000000
`:@0.233434:0.417802:0.245712:0.417802:0.245712:0.404086:0.233434:0.404086:0.000000
`:@0.297731:0.417802:0.310008:0.417802:0.310008:0.404086:0.297731:0.404086:0.000000
;:@0.502885:0.416525:0.506088:0.416525:0.506088:0.400812:0.502885:0.400812:0.000000
   x :@0.506088:0.416525:0.535761:0.416525:0.535761:0.401090:0.506088:0.401090:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.512715:0.415970:0.524992:0.415970:0.524992:0.402255:0.512715:0.402255:0.000000
[ :@0.535761:0.416386:0.555696:0.416386:0.555696:0.402338:0.535761:0.402338:0.000000:0.000000
4:@0.555696:0.417107:0.559782:0.417107:0.559782:0.399453:0.555696:0.399453:0.000000
  `:@0.559782:0.415970:0.592878:0.415970:0.592878:0.402255:0.559782:0.402255:0.000000:0.000000:0.000000
0, :@0.564384:0.416525:0.580601:0.416525:0.580601:0.400812:0.564384:0.400812:0.000000:0.000000:0.000000
3:@0.592878:0.417107:0.596965:0.417107:0.596965:0.399453:0.592878:0.399453:0.000000
 :@0.596963:0.416525:0.600276:0.416525:0.600276:0.401090:0.596963:0.401090:0.000000
v x:@0.435219:0.416525:0.455283:0.416525:0.455283:0.401090:0.435219:0.401090:0.000000:0.000000:0.000000
5:@0.464192:0.415970:0.479525:0.415970:0.479525:0.402255:0.464192:0.402255:0.000000
1:@0.490335:0.408224:0.499726:0.408224:0.499726:0.391797:0.490335:0.391797:0.000000
x:@0.489701:0.428394:0.497156:0.428394:0.497156:0.412958:0.489701:0.412958:0.000000
 :@0.497156:0.428394:0.501187:0.428394:0.501187:0.412681:0.497156:0.412681:0.000000
.:@0.599008:0.418344:0.602211:0.418344:0.602211:0.402632:0.599008:0.402632:0.000000
En primer lugar,     :@0.073089:0.453566:0.231531:0.453566:0.231531:0.437853:0.073089:0.437853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.196820:0.443534:0.206211:0.443534:0.206211:0.427107:0.196820:0.427107:0.000000
x:@0.196184:0.463703:0.203639:0.463703:0.203639:0.448268:0.196184:0.448268:0.000000
 :@0.203639:0.463703:0.207670:0.463703:0.207670:0.447991:0.203639:0.447991:0.000000
5:@0.212166:0.453011:0.227499:0.453011:0.227499:0.439295:0.212166:0.439295:0.000000
x:@0.231954:0.453566:0.239409:0.453566:0.239409:0.438130:0.231954:0.438130:0.000000
2:@0.239416:0.447178:0.248355:0.447178:0.248355:0.439182:0.239416:0.439182:0.000000
1:@0.248355:0.447502:0.253592:0.447502:0.253592:0.438341:0.248355:0.438341:0.000000
 está definido si     0. Como :@0.253596:0.453566:0.470547:0.453566:0.470547:0.437853:0.253596:0.437853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.373133:0.453566:0.380588:0.453566:0.380588:0.438130:0.373133:0.438130:0.000000
?:@0.385042:0.454106:0.400375:0.454106:0.400375:0.438935:0.385042:0.438935:0.000000
x:@0.470986:0.453566:0.478441:0.453566:0.478441:0.438130:0.470986:0.438130:0.000000
[:@0.478456:0.453276:0.493092:0.453276:0.493092:0.439866:0.478456:0.439866:0.000000
]0,  [, entonces     0, con lo :@0.493096:0.453566:0.710357:0.453566:0.710357:0.437853:0.493096:0.437853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
`:@0.514633:0.453011:0.526910:0.453011:0.526910:0.439295:0.514633:0.439295:0.000000
x:@0.611970:0.453566:0.619425:0.453566:0.619425:0.438130:0.611970:0.438130:0.000000
.:@0.623880:0.453011:0.639213:0.453011:0.639213:0.439295:0.623880:0.439295:0.000000
que :@0.073098:0.478778:0.105587:0.478778:0.105587:0.463065:0.073098:0.463065:0.000000:0.000000:0.000000:0.000000
x:@0.105476:0.478778:0.112931:0.478778:0.112931:0.463343:0.105476:0.463343:0.000000
2:@0.112857:0.478223:0.128191:0.478223:0.128191:0.464508:0.112857:0.464508:0.000000
1:@0.128105:0.472717:0.133342:0.472717:0.133342:0.463556:0.128105:0.463556:0.000000
 existe y  ( ) está bien definido. :@0.133295:0.478781:0.360692:0.478781:0.360692:0.463068:0.133295:0.463068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v x:@0.194720:0.478781:0.214636:0.478781:0.214636:0.463345:0.194720:0.463345:0.000000:0.000000:0.000000
Por supuesto, :@0.073085:0.505435:0.174122:0.505435:0.174122:0.489723:0.073085:0.489723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom v:@0.173551:0.505435:0.221429:0.505435:0.221429:0.490000:0.173551:0.490000:0.000000:0.000000:0.000000:0.000000:0.000000
( )    0,  , :@0.208912:0.505435:0.291192:0.505435:0.291192:0.489723:0.208912:0.489723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.229657:0.504880:0.244990:0.504880:0.244990:0.491165:0.229657:0.491165:0.000000
G:@0.248414:0.506018:0.252500:0.506018:0.252500:0.488363:0.248414:0.488363:0.000000
`:@0.267907:0.504880:0.280185:0.504880:0.280185:0.491165:0.267907:0.491165:0.000000
F:@0.280074:0.506018:0.284161:0.506018:0.284161:0.488363:0.280074:0.488363:0.000000
Rec v:@0.290677:0.505435:0.327344:0.505435:0.327344:0.490000:0.290677:0.490000:0.000000:0.000000:0.000000:0.000000:0.000000
( )    0,   y el grafo de la función  ,  ( ) es el conjunto :@0.314827:0.505435:0.710504:0.505435:0.710504:0.489723:0.314827:0.489723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.335572:0.504880:0.350905:0.504880:0.350905:0.491165:0.335572:0.491165:0.000000
G:@0.354329:0.506018:0.358416:0.506018:0.358416:0.488363:0.354329:0.488363:0.000000
`:@0.373822:0.504880:0.386100:0.504880:0.386100:0.491165:0.373822:0.491165:0.000000
F:@0.385990:0.506018:0.390076:0.506018:0.390076:0.488363:0.385990:0.488363:0.000000
v G v:@0.559110:0.505435:0.596734:0.505435:0.596734:0.490000:0.559110:0.490000:0.000000:0.000000:0.000000:0.000000:0.000000
definido como::@0.073140:0.522077:0.183418:0.522077:0.183418:0.506364:0.073140:0.506364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G v:@0.073562:0.555438:0.096276:0.555438:0.096276:0.540002:0.073562:0.540002:0.000000:0.000000:0.000000
S D:@0.084458:0.556020:0.100362:0.556020:0.100362:0.538366:0.084458:0.538366:0.000000:0.000000:0.000000
 :@0.100362:0.555438:0.104393:0.555438:0.104393:0.539725:0.100362:0.539725:0.000000
5 :@0.104393:0.554883:0.124328:0.554883:0.124328:0.541167:0.104393:0.541167:0.000000:0.000000
51:@0.124328:0.556020:0.132501:0.556020:0.132501:0.538366:0.124328:0.538366:0.000000:0.000000
x, v x x :@0.132501:0.555438:0.194534:0.555438:0.194534:0.540002:0.132501:0.540002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S D2 |:@0.154332:0.556020:0.183765:0.556020:0.183765:0.538366:0.154332:0.538366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.194534:0.555299:0.209867:0.555299:0.209867:0.541250:0.194534:0.541250:0.000000
4:@0.209867:0.556020:0.213953:0.556020:0.213953:0.538366:0.209867:0.538366:0.000000
0, :@0.213953:0.555438:0.230170:0.555438:0.230170:0.539725:0.213953:0.539725:0.000000:0.000000:0.000000
` 5 :@0.230170:0.554883:0.273869:0.554883:0.273869:0.541167:0.230170:0.541167:0.000000:0.000000:0.000000:0.000000
36:@0.242448:0.556020:0.250621:0.556020:0.250621:0.538366:0.242448:0.538366:0.000000:0.000000
 :@0.250621:0.555438:0.253934:0.555438:0.253934:0.540002:0.250621:0.540002:0.000000
51:@0.273866:0.558229:0.286496:0.558229:0.286496:0.530945:0.273866:0.530945:0.000000:0.000000
x         x :@0.286495:0.555438:0.344919:0.555438:0.344919:0.540002:0.286495:0.540002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.293950:0.555438:0.297152:0.555438:0.297152:0.539725:0.293950:0.539725:0.000000
2 |:@0.320346:0.556020:0.334151:0.556020:0.334151:0.538366:0.320346:0.538366:0.000000:0.000000:0.000000
[:@0.344919:0.555299:0.360253:0.555299:0.360253:0.541250:0.344919:0.541250:0.000000
4:@0.360253:0.556020:0.364339:0.556020:0.364339:0.538366:0.360253:0.538366:0.000000
0, :@0.364339:0.555438:0.380556:0.555438:0.380556:0.539725:0.364339:0.539725:0.000000:0.000000:0.000000
`:@0.380556:0.554883:0.392833:0.554883:0.392833:0.541167:0.380556:0.541167:0.000000
3:@0.392833:0.556020:0.396920:0.556020:0.396920:0.538366:0.392833:0.538366:0.000000
6:@0.396916:0.558229:0.403232:0.558229:0.403232:0.530945:0.396916:0.530945:0.000000
 :@0.403233:0.555438:0.406547:0.555438:0.406547:0.540002:0.403233:0.540002:0.000000
1:@0.305747:0.546298:0.315138:0.546298:0.315138:0.529872:0.305747:0.529872:0.000000
x:@0.305111:0.566468:0.312566:0.566468:0.312566:0.551033:0.305111:0.551033:0.000000
 :@0.312566:0.566468:0.316597:0.566468:0.316597:0.550755:0.312566:0.550755:0.000000
.:@0.402837:0.555356:0.406040:0.555356:0.406040:0.539643:0.402837:0.539643:0.000000
A continuación, se obtienen algunos puntos de  ( )::@0.073089:0.594611:0.452389:0.594611:0.452389:0.578899:0.073089:0.578899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G v:@0.421096:0.594611:0.444455:0.594611:0.444455:0.579176:0.421096:0.579176:0.000000:0.000000:0.000000
v:@0.073070:0.631015:0.080801:0.631015:0.080801:0.615580:0.073070:0.615580:0.000000
 :@0.080728:0.631015:0.084759:0.631015:0.084759:0.615303:0.080728:0.615303:0.000000
1 2:@0.084924:0.634659:0.109750:0.634722:0.109750:0.611440:0.084924:0.611377:0.000000:0.000000:0.000000
1:@0.094204:0.621480:0.103595:0.621480:0.103595:0.604300:0.094204:0.604300:0.000000
4 :@0.093569:0.641650:0.106583:0.641650:0.106583:0.625216:0.093569:0.625216:0.000000:0.000000
     :@0.110382:0.631022:0.151616:0.631022:0.151616:0.615309:0.110382:0.615309:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.114333:0.630467:0.129666:0.630467:0.129666:0.616751:0.114333:0.616751:0.000000
1:@0.137237:0.618533:0.146628:0.618533:0.146628:0.601352:0.137237:0.601352:0.000000
₁:@0.138820:0.631714:0.142861:0.631714:0.142861:0.614533:0.138820:0.614533:0.000000
₄ :@0.136891:0.640326:0.146794:0.640326:0.146794:0.623892:0.136891:0.623892:0.000000:0.000000
5 :@0.151543:0.630467:0.171386:0.630467:0.171386:0.616751:0.151543:0.616751:0.000000:0.000000
4 :@0.171294:0.631022:0.184234:0.631022:0.184234:0.615309:0.171294:0.615309:0.000000:0.000000
1:@0.184360:0.634659:0.188446:0.634659:0.188446:0.611377:0.184360:0.611377:0.000000
1:@0.193638:0.621480:0.203029:0.621480:0.203029:0.604300:0.193638:0.604300:0.000000
4 :@0.193003:0.641650:0.206016:0.641650:0.206016:0.625216:0.193003:0.625216:0.000000:0.000000
, 4  :@0.204877:0.631022:0.229822:0.631022:0.229822:0.615309:0.204877:0.615309:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.221072:0.634722:0.225158:0.634722:0.225158:0.611440:0.221072:0.611440:0.000000
[ :@0.229742:0.630883:0.249585:0.630883:0.249585:0.616835:0.229742:0.616835:0.000000:0.000000
G v v:@0.249493:0.631022:0.292382:0.631022:0.292382:0.615586:0.249493:0.615586:0.000000:0.000000:0.000000:0.000000:0.000000
( ), :@0.260316:0.631022:0.284743:0.631022:0.284743:0.615309:0.260316:0.615309:0.000000:0.000000:0.000000:0.000000:0.000000
1 2:@0.292541:0.634616:0.315655:0.633391:0.315655:0.610109:0.292541:0.611334:0.000000:0.000000:0.000000
1:@0.300986:0.619739:0.310377:0.619739:0.310377:0.603313:0.300986:0.603313:0.000000
2:@0.299620:0.639196:0.309011:0.639196:0.309011:0.622770:0.299620:0.622770:0.000000
     :@0.316303:0.631022:0.355425:0.631022:0.355425:0.615586:0.316303:0.615586:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.319549:0.630467:0.334882:0.630467:0.334882:0.616751:0.319549:0.616751:0.000000
1:@0.341748:0.620381:0.351139:0.620381:0.351139:0.603200:0.341748:0.603200:0.000000
₁:@0.343333:0.633562:0.347374:0.633562:0.347374:0.616381:0.343333:0.616381:0.000000
₂ :@0.341404:0.642174:0.350699:0.642174:0.350699:0.625741:0.341404:0.625741:0.000000:0.000000
5:@0.355351:0.630467:0.370684:0.630467:0.370684:0.616751:0.355351:0.616751:0.000000
2, :@0.370592:0.631022:0.386662:0.631022:0.386662:0.615309:0.370592:0.615309:0.000000:0.000000:0.000000
1:@0.386794:0.636244:0.390881:0.636244:0.390881:0.612962:0.386794:0.612962:0.000000
1:@0.395225:0.621098:0.404616:0.621098:0.404616:0.604672:0.395225:0.604672:0.000000
2:@0.393858:0.640556:0.403249:0.640556:0.403249:0.624129:0.393858:0.624129:0.000000
, 2  :@0.405573:0.631022:0.430518:0.631022:0.430518:0.615309:0.405573:0.615309:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.421768:0.635657:0.425854:0.635657:0.425854:0.612375:0.421768:0.612375:0.000000
[ :@0.430438:0.630883:0.450281:0.630883:0.450281:0.616835:0.430438:0.616835:0.000000:0.000000
G v:@0.450189:0.631022:0.473548:0.631022:0.473548:0.615586:0.450189:0.615586:0.000000:0.000000:0.000000
( ):@0.461012:0.631022:0.478352:0.631022:0.478352:0.615309:0.461012:0.615309:0.000000:0.000000:0.000000
v:@0.073079:0.669159:0.080810:0.669159:0.080810:0.653724:0.073079:0.653724:0.000000
(1) :@0.080737:0.669159:0.103286:0.669159:0.103286:0.653447:0.080737:0.653447:0.000000:0.000000:0.000000:0.000000
5  :@0.103175:0.668605:0.127528:0.668605:0.127528:0.654889:0.103175:0.654889:0.000000:0.000000:0.000000
1:@0.132021:0.659614:0.141412:0.659614:0.141412:0.643187:0.132021:0.643187:0.000000
1:@0.131386:0.679784:0.140369:0.679784:0.140369:0.664071:0.131386:0.664071:0.000000
   1, (1, 1) :@0.143261:0.669156:0.220950:0.669156:0.220950:0.653443:0.143261:0.653443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.147210:0.668601:0.162544:0.668601:0.162544:0.654885:0.147210:0.654885:0.000000
[ :@0.220803:0.669017:0.240646:0.669017:0.240646:0.654968:0.220803:0.654968:0.000000:0.000000
G v v:@0.240554:0.669156:0.283442:0.669156:0.283442:0.653720:0.240554:0.653720:0.000000:0.000000:0.000000:0.000000:0.000000
( ),  (2) :@0.251377:0.669156:0.305918:0.669156:0.305918:0.653443:0.251377:0.653443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.305807:0.668601:0.321140:0.668601:0.321140:0.654885:0.305807:0.654885:0.000000
  , :@0.321048:0.669156:0.344958:0.669156:0.344958:0.653720:0.321048:0.653720:0.000000:0.000000:0.000000:0.000000
1:@0.328025:0.660030:0.337416:0.660030:0.337416:0.643603:0.328025:0.643603:0.000000
2:@0.326658:0.679487:0.336050:0.679487:0.336050:0.663060:0.326658:0.663060:0.000000
  2, :@0.344898:0.669156:0.369858:0.669156:0.369858:0.653443:0.344898:0.653443:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.349069:0.674377:0.353156:0.674377:0.353156:0.651095:0.349069:0.651095:0.000000
1:@0.373476:0.659232:0.382867:0.659232:0.382867:0.642805:0.373476:0.642805:0.000000
2:@0.372109:0.678689:0.381500:0.678689:0.381500:0.662262:0.372109:0.662262:0.000000
2:@0.384043:0.673791:0.388129:0.673791:0.388129:0.650509:0.384043:0.650509:0.000000
 :@0.388762:0.669156:0.392793:0.669156:0.392793:0.653443:0.388762:0.653443:0.000000
[ :@0.392713:0.669017:0.412556:0.669017:0.412556:0.654968:0.392713:0.654968:0.000000:0.000000
G v:@0.412464:0.669156:0.435823:0.669156:0.435823:0.653720:0.412464:0.653720:0.000000:0.000000:0.000000
( ):@0.423287:0.669156:0.440627:0.669156:0.440627:0.653443:0.423287:0.653443:0.000000:0.000000:0.000000
v:@0.073089:0.707293:0.080820:0.707293:0.080820:0.691858:0.073089:0.691858:0.000000
(4) :@0.080747:0.707293:0.103296:0.707293:0.103296:0.691580:0.080747:0.691580:0.000000:0.000000:0.000000:0.000000
5  :@0.103185:0.706738:0.127538:0.706738:0.127538:0.693023:0.103185:0.693023:0.000000:0.000000:0.000000
1:@0.132021:0.697747:0.141412:0.697747:0.141412:0.680566:0.132021:0.680566:0.000000
4 :@0.131386:0.717917:0.144400:0.717917:0.144400:0.701484:0.131386:0.701484:0.000000:0.000000
,    4, :@0.143261:0.707288:0.178539:0.707288:0.178539:0.691575:0.143261:0.691575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.150333:0.707288:0.153646:0.707288:0.153646:0.691853:0.150333:0.691853:0.000000
1:@0.157751:0.712510:0.161837:0.712510:0.161837:0.689228:0.157751:0.689228:0.000000
1:@0.182505:0.696037:0.190867:0.696037:0.190867:0.680739:0.182505:0.680739:0.000000
4 :@0.181940:0.713996:0.193528:0.713996:0.193528:0.699363:0.181940:0.699363:0.000000:0.000000
2:@0.192725:0.711924:0.196811:0.711924:0.196811:0.688642:0.192725:0.688642:0.000000
 :@0.197444:0.707288:0.201475:0.707288:0.201475:0.691575:0.197444:0.691575:0.000000
[ :@0.201395:0.707149:0.221238:0.707149:0.221238:0.693101:0.201395:0.693101:0.000000:0.000000
G v:@0.221146:0.707288:0.244504:0.707288:0.244504:0.691853:0.221146:0.691853:0.000000:0.000000:0.000000
( ):@0.231969:0.707288:0.249309:0.707288:0.249309:0.691575:0.231969:0.691575:0.000000:0.000000:0.000000
Mantener el régimen pronominal:@0.073078:0.738228:0.325653:0.738228:0.325653:0.721558:0.073078:0.721558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: observa que para valores de   > 0 muy cercanos de :@0.325496:0.738228:0.710449:0.738228:0.710449:0.722515:0.325496:0.722515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.541726:0.738228:0.549181:0.738228:0.549181:0.722793:0.541726:0.722793:0.000000
0,  ( ) toma valores muy grandes. Por ejemplo::@0.073059:0.754870:0.408425:0.754870:0.408425:0.739157:0.073059:0.739157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v x:@0.089037:0.754870:0.108953:0.754870:0.108953:0.739435:0.089037:0.739435:0.000000:0.000000:0.000000
v:@0.073059:0.790095:0.080790:0.790095:0.080790:0.774660:0.073059:0.774660:0.000000
(10 ) :@0.080717:0.790095:0.126266:0.790098:0.126266:0.774385:0.080717:0.774382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.103355:0.783710:0.112294:0.783710:0.112294:0.775714:0.103355:0.775714:0.000000
5:@0.112240:0.784034:0.117477:0.784034:0.117477:0.774873:0.112240:0.774873:0.000000
5 :@0.126174:0.789543:0.146017:0.789543:0.146017:0.775827:0.126174:0.775827:0.000000:0.000000
1:@0.157053:0.780498:0.166444:0.780498:0.166444:0.764071:0.157053:0.764071:0.000000
10:@0.146989:0.800668:0.164955:0.800668:0.164955:0.784955:0.146989:0.784955:0.000000:0.000000
2:@0.164955:0.794148:0.174300:0.794148:0.174300:0.785789:0.164955:0.785789:0.000000
:@0.174301:0.800825:0.179766:0.800825:0.179766:0.784398:0.174301:0.784398:0.000000
   10 ,  (10:@0.180178:0.790098:0.263735:0.790098:0.263735:0.774385:0.180178:0.774385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.184129:0.789543:0.199462:0.789543:0.199462:0.775827:0.184129:0.775827:0.000000
5:@0.221124:0.784034:0.226361:0.784034:0.226361:0.774873:0.221124:0.774873:0.000000
v:@0.233381:0.790098:0.241112:0.790098:0.241112:0.774662:0.233381:0.774662:0.000000
2:@0.263653:0.783710:0.272592:0.783710:0.272592:0.775714:0.263653:0.775714:0.000000
10:@0.272539:0.784034:0.282970:0.784034:0.282970:0.774873:0.272539:0.774873:0.000000:0.000000
) :@0.282917:0.790098:0.291752:0.790098:0.291752:0.774385:0.282917:0.774385:0.000000:0.000000
5 :@0.291660:0.789543:0.311503:0.789543:0.311503:0.775827:0.291660:0.775827:0.000000:0.000000
1:@0.324772:0.779094:0.334163:0.779094:0.334163:0.762667:0.324772:0.762667:0.000000
10:@0.312477:0.799263:0.330443:0.799263:0.330443:0.783551:0.312477:0.783551:0.000000:0.000000
2:@0.330443:0.792744:0.339788:0.792744:0.339788:0.784384:0.330443:0.784384:0.000000
:@0.339789:0.799421:0.349796:0.799421:0.349796:0.782994:0.339789:0.782994:0.000000:0.000000
 :@0.350405:0.790098:0.353718:0.790098:0.353718:0.774662:0.350405:0.774662:0.000000
5 :@0.353644:0.789543:0.373487:0.789543:0.373487:0.775827:0.353644:0.775827:0.000000:0.000000
10:@0.373395:0.790098:0.391287:0.790098:0.391287:0.774385:0.373395:0.774385:0.000000:0.000000
10:@0.391207:0.784034:0.401638:0.784034:0.401638:0.774873:0.391207:0.774873:0.000000:0.000000
Y así sucesivamente. Mientras que para valores :@0.073089:0.817660:0.433853:0.817660:0.433853:0.801233:0.073089:0.801233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.073089:0.835058:0.080882:0.835058:0.080882:0.818921:0.073089:0.818921:0.000000
 muy grandes,  ( ) > 0 es muy cercano de cero. :@0.080882:0.835058:0.442417:0.835058:0.442417:0.818631:0.080882:0.818631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v x:@0.193130:0.835058:0.214106:0.835058:0.214106:0.818921:0.193130:0.818921:0.000000:0.000000:0.000000
Por ejemplo::@0.073089:0.852457:0.169212:0.852457:0.169212:0.836030:0.073089:0.836030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.073089:0.886534:0.080820:0.886534:0.080820:0.871099:0.073089:0.871099:0.000000
(10 ) :@0.080746:0.886534:0.117380:0.886534:0.117380:0.870822:0.080746:0.870822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.103355:0.880471:0.108592:0.880471:0.108592:0.871310:0.103355:0.871310:0.000000
5 :@0.117288:0.885980:0.137131:0.885980:0.137131:0.872264:0.117288:0.872264:0.000000:0.000000
1:@0.145686:0.877201:0.155077:0.877201:0.155077:0.860774:0.145686:0.860774:0.000000
10:@0.138105:0.897371:0.156071:0.897371:0.156071:0.881658:0.138105:0.881658:0.000000:0.000000
:@0.156069:0.897529:0.161535:0.897529:0.161535:0.881102:0.156069:0.881102:0.000000
   10 ,  (10 ) :@0.164110:0.886534:0.275685:0.886534:0.275685:0.870822:0.164110:0.870822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.168061:0.885980:0.183394:0.885980:0.183394:0.872264:0.168061:0.872264:0.000000
2:@0.205056:0.880147:0.213995:0.880147:0.213995:0.872151:0.205056:0.872151:0.000000
5:@0.213942:0.880471:0.219179:0.880471:0.219179:0.871310:0.213942:0.871310:0.000000
v:@0.226199:0.886534:0.233930:0.886534:0.233930:0.871099:0.226199:0.871099:0.000000
10:@0.256471:0.880471:0.266902:0.880471:0.266902:0.871310:0.256471:0.871310:0.000000:0.000000
5 :@0.275593:0.885980:0.295436:0.885980:0.295436:0.872264:0.275593:0.872264:0.000000:0.000000
1:@0.303990:0.876525:0.313381:0.876525:0.313381:0.860099:0.303990:0.860099:0.000000
10:@0.296409:0.896695:0.314375:0.896695:0.314375:0.880982:0.296409:0.880982:0.000000:0.000000
:@0.314375:0.896853:0.324382:0.896853:0.324382:0.880426:0.314375:0.880426:0.000000:0.000000
 :@0.324782:0.886534:0.328095:0.886534:0.328095:0.871099:0.324782:0.871099:0.000000
5 :@0.328021:0.885980:0.347864:0.885980:0.347864:0.872264:0.328021:0.872264:0.000000:0.000000
10:@0.347772:0.886534:0.365664:0.886534:0.365664:0.870822:0.347772:0.870822:0.000000:0.000000
2:@0.365582:0.880147:0.374522:0.880147:0.374522:0.872151:0.365582:0.872151:0.000000
10:@0.374468:0.880471:0.384899:0.880471:0.384899:0.871310:0.374468:0.871310:0.000000:0.000000
(La función   es estrictamente decreciente).:@0.073089:0.914097:0.405332:0.914097:0.405332:0.897671:0.073089:0.897671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.162708:0.914097:0.170790:0.914097:0.170790:0.897961:0.162708:0.897961:0.000000
La Figura 2.15 muestra la gráfica de la función  .:@0.073089:0.941500:0.437146:0.941500:0.437146:0.925073:0.073089:0.925073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.425715:0.941500:0.433797:0.941500:0.433797:0.925363:0.425715:0.925363:0.000000
x:@0.693240:0.917401:0.699678:0.917401:0.699678:0.904071:0.693240:0.904071:0.000000
y:@0.497323:0.790181:0.503777:0.790181:0.503777:0.776850:0.497323:0.776850:0.000000
0:@0.502116:0.914974:0.508648:0.914974:0.508648:0.903547:0.502116:0.903547:0.000000
1:@0.532317:0.914974:0.538850:0.914974:0.538850:0.903547:0.532317:0.903547:0.000000
2:@0.557418:0.914974:0.563951:0.914974:0.563951:0.903547:0.557418:0.903547:0.000000
3:@0.582518:0.914974:0.589051:0.914974:0.589051:0.903547:0.582518:0.903547:0.000000
4:@0.607619:0.914974:0.614152:0.914974:0.614152:0.903547:0.607619:0.903547:0.000000
5:@0.632720:0.914974:0.639253:0.914974:0.639253:0.903547:0.632720:0.903547:0.000000
6:@0.657821:0.914974:0.664354:0.914974:0.664354:0.903547:0.657821:0.903547:0.000000
5:@0.500678:0.815802:0.507211:0.815802:0.507211:0.804374:0.500678:0.804374:0.000000
4:@0.500678:0.834713:0.507211:0.834713:0.507211:0.823285:0.500678:0.823285:0.000000
3:@0.500678:0.853624:0.507211:0.853624:0.507211:0.842197:0.500678:0.842197:0.000000
2:@0.500678:0.872535:0.507211:0.872535:0.507211:0.861108:0.500678:0.861108:0.000000
1:@0.500678:0.891446:0.507211:0.891446:0.507211:0.880019:0.500678:0.880019:0.000000
Figura 2.15.:@0.646152:0.940006:0.706341:0.940006:0.706341:0.928578:0.646152:0.928578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t.ly/6k6QU:@0.766701:0.932345:0.843018:0.932345:0.843018:0.916633:0.766701:0.916633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dominio y rango :@0.742575:0.794856:0.878271:0.794856:0.878271:0.777909:0.742575:0.777909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una función:@0.742575:0.811497:0.860547:0.811497:0.860547:0.794551:0.742575:0.794551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000