87:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento espacial, métrico y variacional:@0.541231:0.043660:0.930030:0.043660:0.930030:0.024915:0.541231:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende las siguientes :@0.744288:0.192680:0.897072:0.192680:0.897072:0.178395:0.744288:0.178395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definiciones::@0.744288:0.207809:0.827154:0.207809:0.827154:0.193524:0.744288:0.193524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asíntotas verticales: rectas :@0.744288:0.222938:0.919790:0.222938:0.919790:0.208653:0.744288:0.208653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendiculares al eje de :@0.744288:0.238066:0.913437:0.238066:0.913437:0.223782:0.744288:0.223782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las abscisas, de ecuación  :@0.744288:0.253195:0.913049:0.253195:0.913049:0.238911:0.744288:0.238911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.744288:0.268324:0.751065:0.268324:0.751065:0.254292:0.744288:0.254292:0.000000
    , con   una :@0.750998:0.268324:0.856472:0.268324:0.856472:0.254040:0.750998:0.254040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.754596:0.267820:0.768535:0.267820:0.768535:0.255351:0.754596:0.255351:0.000000
a:@0.772050:0.268324:0.780467:0.268324:0.780467:0.254292:0.772050:0.254292:0.000000
a:@0.815541:0.268324:0.823958:0.268324:0.823958:0.254292:0.815541:0.254292:0.000000
constante.:@0.744288:0.283453:0.812917:0.283453:0.812917:0.269169:0.744288:0.269169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asíntotas horizontales: :@0.744288:0.298582:0.895954:0.298582:0.895954:0.284298:0.744288:0.284298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas perpendiculares al :@0.744288:0.313711:0.912253:0.313711:0.912253:0.299427:0.744288:0.299427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje de las ordenadas, de :@0.744288:0.328840:0.905807:0.328840:0.905807:0.314556:0.744288:0.314556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación      , con   una :@0.744288:0.343969:0.920395:0.343969:0.920395:0.329685:0.744288:0.329685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.808195:0.343969:0.814989:0.343969:0.814989:0.329937:0.808195:0.329937:0.000000
5:@0.818520:0.343465:0.832459:0.343465:0.832459:0.330996:0.818520:0.330996:0.000000
b:@0.835973:0.343969:0.844390:0.343969:0.844390:0.329937:0.835973:0.329937:0.000000
b:@0.879464:0.343969:0.887881:0.343969:0.887881:0.329937:0.879464:0.329937:0.000000
constante.:@0.744288:0.359098:0.812917:0.359098:0.812917:0.344814:0.744288:0.344814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asíntotas oblicuas: :@0.744288:0.374227:0.870031:0.374227:0.870031:0.359943:0.744288:0.359943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si no son paralelas o :@0.744288:0.389356:0.880318:0.389356:0.880318:0.375072:0.744288:0.375072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendiculares a los ejes,  :@0.744288:0.404485:0.920678:0.404485:0.920678:0.390201:0.744288:0.390201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su ecuación :@0.744288:0.419614:0.826970:0.419614:0.826970:0.405330:0.744288:0.405330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.744288:0.434743:0.751082:0.434743:0.751082:0.420711:0.744288:0.420711:0.000000
   :@0.751015:0.434743:0.772133:0.434743:0.772133:0.420458:0.751015:0.420458:0.000000:0.000000:0.000000
5:@0.754613:0.434238:0.768552:0.434238:0.768552:0.421770:0.754613:0.421770:0.000000
mx:@0.772066:0.434743:0.792063:0.434743:0.792063:0.420711:0.772066:0.420711:0.000000:0.000000
    , donde   :@0.792013:0.434743:0.892215:0.434743:0.892215:0.420458:0.792013:0.420458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.795611:0.434238:0.809550:0.434238:0.809550:0.421770:0.795611:0.421770:0.000000
b:@0.813064:0.434743:0.821481:0.434743:0.821481:0.420711:0.813064:0.420711:0.000000
m:@0.875264:0.434743:0.888551:0.434743:0.888551:0.420711:0.875264:0.420711:0.000000
es la pendiente y   la :@0.744305:0.449872:0.886392:0.449872:0.886392:0.435587:0.744305:0.435587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.859702:0.449872:0.868119:0.449872:0.868119:0.435840:0.859702:0.435840:0.000000
ordenada al origen de la :@0.744305:0.465001:0.908360:0.465001:0.908360:0.450716:0.744305:0.450716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta.:@0.744305:0.480130:0.780152:0.480130:0.780152:0.465845:0.744305:0.465845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.144602:0.848854:0.144602:0.848854:0.127655:0.740294:0.127655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.161244:0.837769:0.161244:0.837769:0.144297:0.740294:0.144297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 7 (Ev. 4) Relaciona características algebraicas de las funciones, sus gráficas y procesos de aproximación sucesiva.:@0.084446:0.971366:0.695536:0.971366:0.695536:0.959939:0.084446:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.3 Representación gráfica de una función racional y sus asíntotas:@0.073089:0.136836:0.587498:0.136836:0.587498:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.073089:0.174918:0.216098:0.174918:0.216098:0.158249:0.073089:0.158249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  :@0.073089:0.213005:0.093116:0.213005:0.093116:0.197293:0.073089:0.197293:0.000000:0.000000:0.000000:0.000000
Sean  ,   los polinomios reales definidos como  ( )   3,        ,:@0.133336:0.213005:0.596029:0.213005:0.596029:0.197293:0.133336:0.197293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.172743:0.213005:0.198255:0.213005:0.198255:0.197570:0.172743:0.197570:0.000000:0.000000:0.000000
p x:@0.475892:0.213005:0.497336:0.213005:0.497336:0.197570:0.475892:0.197570:0.000000:0.000000:0.000000
5:@0.506006:0.212451:0.521339:0.212451:0.521339:0.198735:0.506006:0.198735:0.000000
x:@0.549079:0.213005:0.556534:0.213005:0.556534:0.197570:0.549079:0.197570:0.000000
:@0.560436:0.212867:0.575770:0.212867:0.575770:0.198818:0.560436:0.198818:0.000000
:@0.579629:0.212146:0.592919:0.212146:0.592919:0.199248:0.579629:0.199248:0.000000
 :@0.073089:0.251090:0.077120:0.251090:0.077120:0.235377:0.073089:0.235377:0.000000
q x:@0.133331:0.251090:0.154775:0.251090:0.154775:0.235655:0.133331:0.235655:0.000000:0.000000:0.000000
( )       2,        . La función racional   está definida como::@0.142516:0.251090:0.579811:0.251090:0.579811:0.235377:0.142516:0.235377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 1:@0.163445:0.250535:0.209316:0.250535:0.209316:0.236820:0.163445:0.236820:0.000000:0.000000:0.000000
x:@0.182644:0.251090:0.190099:0.251090:0.190099:0.235655:0.182644:0.235655:0.000000
x:@0.237056:0.251090:0.244511:0.251090:0.244511:0.235655:0.237056:0.235655:0.000000
:@0.248395:0.250951:0.263728:0.250951:0.263728:0.236903:0.248395:0.236903:0.000000
:@0.267587:0.250230:0.280877:0.250230:0.280877:0.237333:0.267587:0.237333:0.000000
f:@0.428890:0.251090:0.433584:0.251090:0.433584:0.235655:0.428890:0.235655:0.000000
 :@0.073089:0.294529:0.077120:0.294529:0.077120:0.278816:0.073089:0.278816:0.000000
f x:@0.133331:0.294529:0.150210:0.294529:0.150210:0.279094:0.133331:0.279094:0.000000:0.000000:0.000000
( )   :@0.137951:0.294529:0.178152:0.294529:0.178152:0.278816:0.137951:0.278816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.158880:0.293974:0.174213:0.293974:0.174213:0.280259:0.158880:0.280259:0.000000
p x:@0.182179:0.285956:0.203771:0.285956:0.203771:0.270521:0.182179:0.270521:0.000000:0.000000:0.000000
( ):@0.191438:0.285956:0.208649:0.285956:0.208649:0.270243:0.191438:0.270243:0.000000:0.000000:0.000000
q x:@0.181516:0.302709:0.203108:0.302709:0.203108:0.287273:0.181516:0.287273:0.000000:0.000000:0.000000
( ):@0.190775:0.302709:0.207986:0.302709:0.207986:0.286996:0.190775:0.286996:0.000000:0.000000:0.000000
 = :@0.211191:0.294529:0.230076:0.294529:0.230076:0.278816:0.211191:0.278816:0.000000:0.000000:0.000000
3:@0.246588:0.287544:0.255570:0.287544:0.255570:0.271832:0.246588:0.271832:0.000000
x :@0.233408:0.302647:0.244176:0.302647:0.244176:0.287212:0.233408:0.287212:0.000000:0.000000
1:@0.244176:0.302092:0.259510:0.302092:0.259510:0.288377:0.244176:0.288377:0.000000
2:@0.259510:0.302647:0.268492:0.302647:0.268492:0.286934:0.259510:0.286934:0.000000
,       2.:@0.268407:0.294529:0.337324:0.294529:0.337324:0.278816:0.268407:0.278816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.279433:0.294529:0.286888:0.294529:0.286888:0.279094:0.279433:0.279094:0.000000
?:@0.290772:0.295070:0.306105:0.295070:0.306105:0.279898:0.290772:0.279898:0.000000
2:@0.309971:0.293974:0.325304:0.293974:0.325304:0.280259:0.309971:0.280259:0.000000
 :@0.073089:0.332614:0.077120:0.332614:0.077120:0.316901:0.073089:0.316901:0.000000
Se tiene :@0.133336:0.332614:0.197099:0.332614:0.197099:0.316901:0.133336:0.316901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f:@0.197735:0.332614:0.243035:0.332614:0.243035:0.317178:0.197735:0.317178:0.000000:0.000000:0.000000:0.000000:0.000000
( )     \ { 2}. Una :@0.233427:0.332614:0.377795:0.332614:0.377795:0.316901:0.233427:0.316901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.252644:0.332059:0.267977:0.332059:0.267977:0.318343:0.252644:0.318343:0.000000
:@0.272683:0.331754:0.285973:0.331754:0.285973:0.318856:0.272683:0.318856:0.000000
2:@0.306706:0.332059:0.322039:0.332059:0.322039:0.318343:0.306706:0.318343:0.000000
asíntota vertical:@0.378439:0.332614:0.501379:0.332614:0.501379:0.315944:0.378439:0.315944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es la recta   definida como  :@0.501416:0.332614:0.710377:0.332614:0.710377:0.316901:0.501416:0.316901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.585060:0.332614:0.594006:0.332614:0.594006:0.317178:0.585060:0.317178:0.000000
:@0.073089:0.348396:0.086379:0.348396:0.086379:0.335498:0.073089:0.335498:0.000000
   {( 2, y) | y    } o como      2.:@0.086287:0.349255:0.345945:0.349255:0.345945:0.333543:0.086287:0.333543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.090244:0.348701:0.134367:0.348701:0.134367:0.334985:0.090244:0.334985:0.000000:0.000000:0.000000
:@0.186747:0.349117:0.202081:0.349117:0.202081:0.335068:0.186747:0.335068:0.000000
:@0.205940:0.348396:0.219230:0.348396:0.219230:0.335498:0.205940:0.335498:0.000000
x:@0.288054:0.349255:0.295509:0.349255:0.295509:0.333820:0.288054:0.333820:0.000000
5 2:@0.299393:0.348701:0.333925:0.348701:0.333925:0.334985:0.299393:0.334985:0.000000:0.000000:0.000000
 :@0.073089:0.387340:0.077120:0.387340:0.077120:0.371627:0.073089:0.371627:0.000000
Por otro lado, si | |   ∞, también | |   2   ∞ con lo que::@0.133336:0.387340:0.545391:0.387340:0.545391:0.371627:0.133336:0.371627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.251961:0.387340:0.259416:0.387340:0.259416:0.371905:0.251961:0.371905:0.000000
→:@0.267110:0.386924:0.285278:0.386924:0.285278:0.369935:0.267110:0.369935:0.000000
x:@0.378382:0.387340:0.385837:0.387340:0.385837:0.371905:0.378382:0.371905:0.000000
1:@0.393531:0.386785:0.408864:0.386785:0.408864:0.373070:0.393531:0.373070:0.000000
→:@0.425578:0.386924:0.443746:0.386924:0.443746:0.369935:0.425578:0.369935:0.000000
 :@0.073089:0.428818:0.077120:0.428818:0.077120:0.413106:0.073089:0.413106:0.000000
f x:@0.133331:0.428818:0.150210:0.428818:0.150210:0.413383:0.133331:0.413383:0.000000:0.000000:0.000000
( )   :@0.137951:0.428818:0.178152:0.428818:0.178152:0.413106:0.137951:0.413106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.158880:0.428264:0.174213:0.428264:0.174213:0.414548:0.158880:0.414548:0.000000
3:@0.194691:0.422203:0.203674:0.422203:0.203674:0.406491:0.194691:0.406491:0.000000
x :@0.181511:0.437306:0.192280:0.437306:0.192280:0.421870:0.181511:0.421870:0.000000:0.000000
1:@0.192280:0.436751:0.207613:0.436751:0.207613:0.423035:0.192280:0.423035:0.000000
2:@0.207613:0.437306:0.216596:0.437306:0.216596:0.421593:0.207613:0.421593:0.000000
   0 cuando     ∞,:@0.216509:0.428818:0.364448:0.428818:0.364448:0.413106:0.216509:0.413106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.220466:0.428402:0.238634:0.428402:0.238634:0.411414:0.220466:0.411414:0.000000
x:@0.314822:0.428818:0.322277:0.428818:0.322277:0.413383:0.314822:0.413383:0.000000
→:@0.326161:0.428402:0.344329:0.428402:0.344329:0.411414:0.326161:0.411414:0.000000
 :@0.073089:0.471192:0.077120:0.471192:0.077120:0.455479:0.073089:0.455479:0.000000
f x:@0.133331:0.471192:0.150210:0.471192:0.150210:0.455757:0.133331:0.455757:0.000000:0.000000:0.000000
( )   :@0.137951:0.471192:0.178152:0.471192:0.178152:0.455479:0.137951:0.455479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.158880:0.470637:0.174213:0.470637:0.174213:0.456922:0.158880:0.456922:0.000000
3:@0.194691:0.463682:0.203674:0.463682:0.203674:0.447969:0.194691:0.447969:0.000000
x :@0.181511:0.478784:0.192280:0.478784:0.192280:0.463349:0.181511:0.463349:0.000000:0.000000
1:@0.192280:0.478230:0.207613:0.478230:0.207613:0.464514:0.192280:0.464514:0.000000
2:@0.207613:0.478784:0.216596:0.478784:0.216596:0.463072:0.207613:0.463072:0.000000
   0 cuando      ∞.:@0.216509:0.471192:0.379689:0.471192:0.379689:0.455479:0.216509:0.455479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.220466:0.470776:0.238634:0.470776:0.238634:0.453788:0.220466:0.453788:0.000000
x:@0.314822:0.471192:0.322277:0.471192:0.322277:0.455757:0.314822:0.455757:0.000000
→:@0.326161:0.470776:0.344329:0.470776:0.344329:0.453788:0.326161:0.453788:0.000000
2:@0.348194:0.470637:0.363527:0.470637:0.363527:0.456922:0.348194:0.456922:0.000000
Luego,  ( ) :@0.073098:0.509274:0.153832:0.509274:0.153832:0.493562:0.073098:0.493562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.127638:0.509274:0.144794:0.509274:0.144794:0.493839:0.127638:0.493839:0.000000:0.000000:0.000000
→:@0.154623:0.508858:0.172791:0.508858:0.172791:0.491870:0.154623:0.491870:0.000000
 0 cuando   :@0.172865:0.509274:0.264349:0.509274:0.264349:0.493562:0.172865:0.493562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.252808:0.509274:0.260263:0.509274:0.260263:0.493839:0.252808:0.493839:0.000000
→:@0.265141:0.508858:0.283309:0.508858:0.283309:0.491870:0.265141:0.491870:0.000000
 ∞. Consecuentemente, la gráfica de   tiene una :@0.283382:0.509274:0.643492:0.509274:0.643492:0.493562:0.283382:0.493562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.559252:0.509274:0.563946:0.509274:0.563946:0.493839:0.559252:0.493839:0.000000
asíntota :@0.644256:0.509274:0.710268:0.509274:0.710268:0.492605:0.644256:0.492605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
horizontal:@0.073116:0.525916:0.152481:0.525916:0.152481:0.509246:0.073116:0.509246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 definida como el conjunto     {( , 0) |      } que representa una recta :@0.152654:0.525916:0.710393:0.525919:0.710393:0.510206:0.152654:0.510203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
H:@0.365147:0.525916:0.376247:0.525916:0.376247:0.510481:0.365147:0.510481:0.000000
5:@0.381751:0.525361:0.397084:0.525361:0.397084:0.511646:0.381751:0.511646:0.000000
x:@0.412712:0.525916:0.420166:0.525916:0.420166:0.510481:0.412712:0.510481:0.000000
x:@0.457993:0.525916:0.465448:0.525916:0.465448:0.510481:0.457993:0.510481:0.000000
:@0.470899:0.525780:0.486232:0.525780:0.486232:0.511731:0.470899:0.511731:0.000000
:@0.491779:0.525059:0.505069:0.525059:0.505069:0.512161:0.491779:0.512161:0.000000
horizontal que coincide con el eje  , que también se escribe como     0.:@0.073081:0.542560:0.599068:0.542560:0.599068:0.526848:0.073081:0.526848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.322278:0.542560:0.329733:0.542560:0.329733:0.527125:0.322278:0.527125:0.000000
y:@0.556400:0.542560:0.563874:0.542560:0.563874:0.527125:0.556400:0.527125:0.000000
5:@0.567758:0.542006:0.583091:0.542006:0.583091:0.528290:0.567758:0.528290:0.000000
Considerando el dominio de la función  , en el eje   se identifican dos regiones:  :@0.073081:0.580642:0.710359:0.580642:0.710359:0.564930:0.073081:0.564930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.386612:0.580642:0.391306:0.580642:0.391306:0.565207:0.386612:0.565207:0.000000
x,:@0.475961:0.580642:0.487005:0.580642:0.487005:0.565207:0.475961:0.565207:0.000000:0.000000
x:@0.073081:0.597284:0.080536:0.597284:0.080536:0.581849:0.073081:0.581849:0.000000
    2 y      2. Veamos en la Figura 2.3. algunos valores que toma la función   en cada :@0.080462:0.597284:0.710410:0.597284:0.710410:0.581572:0.080462:0.581572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, 2:@0.084015:0.596730:0.118142:0.596730:0.118142:0.583014:0.084015:0.583014:0.000000:0.000000:0.000000
x:@0.142053:0.597284:0.149508:0.597284:0.149508:0.581849:0.142053:0.581849:0.000000
. 2:@0.152987:0.596730:0.187114:0.596730:0.187114:0.583014:0.152987:0.583014:0.000000:0.000000:0.000000
f:@0.641350:0.597284:0.646044:0.597284:0.646044:0.581849:0.641350:0.581849:0.000000
una de estas regiones.:@0.073118:0.613926:0.233607:0.613926:0.233607:0.598213:0.073118:0.598213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para   < –2:@0.082576:0.655693:0.162113:0.655693:0.162113:0.639981:0.082576:0.639981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.117439:0.655693:0.124894:0.655693:0.124894:0.640258:0.117439:0.640258:0.000000
f:@0.082575:0.683152:0.087269:0.683152:0.087269:0.667717:0.082575:0.667717:0.000000
( 5):@0.087269:0.683152:0.121341:0.683152:0.121341:0.667440:0.087269:0.667440:0.000000:0.000000:0.000000:0.000000
2 5:@0.092147:0.682598:0.139987:0.682598:0.139987:0.668882:0.092147:0.668882:0.000000:0.000000:0.000000
   :@0.121341:0.683152:0.143301:0.683152:0.143301:0.667717:0.121341:0.667717:0.000000:0.000000:0.000000
3:@0.166498:0.675385:0.175072:0.675385:0.175072:0.660386:0.166498:0.660386:0.000000
2 1:@0.143726:0.688724:0.185421:0.688724:0.185421:0.675631:0.143726:0.675631:0.000000:0.000000:0.000000
5   2:@0.158363:0.689253:0.197844:0.689253:0.197844:0.674255:0.158363:0.674255:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.198269:0.683147:0.201582:0.683147:0.201582:0.667712:0.198269:0.667712:0.000000
5 2:@0.201582:0.682593:0.236280:0.682593:0.236280:0.668877:0.201582:0.668877:0.000000:0.000000:0.000000
  1,:@0.216915:0.683147:0.248465:0.683147:0.248465:0.667435:0.216915:0.667435:0.000000:0.000000:0.000000:0.000000
f:@0.082579:0.714309:0.087273:0.714309:0.087273:0.698874:0.082579:0.698874:0.000000
( 4) :@0.087273:0.714309:0.125376:0.714309:0.125376:0.698596:0.087273:0.698596:0.000000:0.000000:0.000000:0.000000:0.000000
2 5:@0.092151:0.713754:0.140709:0.713754:0.140709:0.700039:0.092151:0.700039:0.000000:0.000000:0.000000
 :@0.140709:0.714309:0.144023:0.714309:0.144023:0.698874:0.140709:0.698874:0.000000
3:@0.167124:0.706423:0.175698:0.706423:0.175698:0.691425:0.167124:0.691425:0.000000
2 1:@0.144352:0.719762:0.186047:0.719762:0.186047:0.706670:0.144352:0.706670:0.000000:0.000000:0.000000
4   2:@0.158988:0.720291:0.198470:0.720291:0.198470:0.705293:0.158988:0.705293:0.000000:0.000000:0.000000:0.000000:0.000000
      ,:@0.198803:0.714310:0.256971:0.714310:0.256971:0.698875:0.198803:0.698875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.202116:0.713756:0.236096:0.713756:0.236096:0.700040:0.202116:0.700040:0.000000:0.000000:0.000000
3:@0.242237:0.706413:0.250811:0.706413:0.250811:0.691415:0.242237:0.691415:0.000000
2:@0.242237:0.720281:0.250811:0.720281:0.250811:0.705283:0.242237:0.705283:0.000000
f:@0.082581:0.745763:0.087275:0.745763:0.087275:0.730328:0.082581:0.730328:0.000000
( 3) :@0.087275:0.745763:0.125378:0.745763:0.125378:0.730051:0.087275:0.730051:0.000000:0.000000:0.000000:0.000000:0.000000
2 5:@0.092153:0.745209:0.140711:0.745209:0.140711:0.731493:0.092153:0.731493:0.000000:0.000000:0.000000
 :@0.140711:0.745763:0.144024:0.745763:0.144024:0.730328:0.140711:0.730328:0.000000
3:@0.166973:0.737576:0.175547:0.737576:0.175547:0.722578:0.166973:0.722578:0.000000
2 1:@0.144202:0.750915:0.185897:0.750915:0.185897:0.737823:0.144202:0.737823:0.000000:0.000000:0.000000
3   2:@0.158838:0.751444:0.198319:0.751444:0.198319:0.736446:0.158838:0.736446:0.000000:0.000000:0.000000:0.000000:0.000000
    3,:@0.198501:0.745761:0.249416:0.745761:0.249416:0.730048:0.198501:0.730048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.202533:0.745206:0.237230:0.745206:0.237230:0.731491:0.202533:0.731491:0.000000:0.000000:0.000000
f:@0.082572:0.777228:0.087266:0.777228:0.087266:0.761793:0.082572:0.761793:0.000000
( 2,5) :@0.087266:0.777228:0.137555:0.777228:0.137555:0.761515:0.087266:0.761515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.092144:0.776673:0.107477:0.776673:0.107477:0.762957:0.092144:0.762957:0.000000
5:@0.137555:0.776673:0.152888:0.776673:0.152888:0.762957:0.137555:0.762957:0.000000
  :@0.152888:0.777228:0.159515:0.777228:0.159515:0.761793:0.152888:0.761793:0.000000:0.000000
3:@0.187987:0.769027:0.196562:0.769027:0.196562:0.754028:0.187987:0.754028:0.000000
2:@0.159516:0.782365:0.174153:0.782365:0.174153:0.769273:0.159516:0.769273:0.000000
2,5   2:@0.174153:0.782895:0.225019:0.782895:0.225019:0.767896:0.174153:0.767896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.198084:0.782365:0.212720:0.782365:0.212720:0.769273:0.198084:0.769273:0.000000
   :@0.225033:0.777232:0.246993:0.777232:0.246993:0.761796:0.225033:0.761796:0.000000:0.000000:0.000000
5 2:@0.228346:0.776677:0.262326:0.776677:0.262326:0.762961:0.228346:0.762961:0.000000:0.000000:0.000000
6:@0.262326:0.777232:0.271309:0.777232:0.271309:0.761519:0.262326:0.761519:0.000000
.:@0.271309:0.777232:0.274640:0.777232:0.274640:0.761796:0.271309:0.761796:0.000000
Para   > –2:@0.336360:0.655691:0.415898:0.655691:0.415898:0.639978:0.336360:0.639978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.371223:0.655691:0.378678:0.655691:0.378678:0.640255:0.371223:0.640255:0.000000
f:@0.336360:0.684648:0.341054:0.684648:0.341054:0.669212:0.336360:0.669212:0.000000
( 1,5)   :@0.341054:0.684648:0.410707:0.684648:0.410707:0.668935:0.341054:0.668935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.345932:0.684093:0.361265:0.684093:0.361265:0.670377:0.345932:0.670377:0.000000
5:@0.391342:0.684093:0.406676:0.684093:0.406676:0.670377:0.391342:0.670377:0.000000
3:@0.439899:0.675385:0.448473:0.675385:0.448473:0.660386:0.439899:0.660386:0.000000
2:@0.411313:0.688724:0.425949:0.688724:0.425949:0.675631:0.411313:0.675631:0.000000
1,5   2:@0.425949:0.689253:0.477062:0.689253:0.477062:0.674255:0.425949:0.674255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.450003:0.688724:0.464639:0.688724:0.464639:0.675631:0.450003:0.675631:0.000000
   6,:@0.477676:0.684656:0.513257:0.684656:0.513257:0.668944:0.477676:0.668944:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.481707:0.684102:0.497040:0.684102:0.497040:0.670386:0.481707:0.670386:0.000000
f:@0.336345:0.717080:0.341039:0.717080:0.341039:0.701645:0.336345:0.701645:0.000000
( 1)   :@0.341039:0.717080:0.398506:0.717080:0.398506:0.701368:0.341039:0.701368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 5:@0.345917:0.716526:0.394475:0.716526:0.394475:0.702810:0.345917:0.702810:0.000000:0.000000:0.000000
3:@0.418503:0.707922:0.427078:0.707922:0.427078:0.692924:0.418503:0.692924:0.000000
–1   2:@0.398657:0.721790:0.446923:0.721790:0.446923:0.706792:0.398657:0.706792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.419864:0.721261:0.434501:0.721261:0.434501:0.708169:0.419864:0.708169:0.000000
   3,:@0.447068:0.717083:0.482649:0.717083:0.482649:0.701370:0.447068:0.701370:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.451099:0.716528:0.466432:0.716528:0.466432:0.702812:0.451099:0.702812:0.000000
f:@0.336348:0.751836:0.341042:0.751836:0.341042:0.736401:0.336348:0.736401:0.000000
(0)   :@0.341042:0.751836:0.383176:0.751836:0.383176:0.736124:0.341042:0.736124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.363812:0.751282:0.379145:0.751282:0.379145:0.737566:0.363812:0.737566:0.000000
3:@0.398700:0.740349:0.407275:0.740349:0.407275:0.725350:0.398700:0.725350:0.000000
0   2:@0.383247:0.754217:0.422728:0.754217:0.422728:0.739218:0.383247:0.739218:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.395669:0.753687:0.410305:0.753687:0.410305:0.740595:0.395669:0.740595:0.000000
   1,5,:@0.422795:0.751838:0.470562:0.751838:0.470562:0.736125:0.422795:0.736125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.426827:0.751283:0.442160:0.751283:0.442160:0.737567:0.426827:0.737567:0.000000
f:@0.336355:0.781821:0.341049:0.781821:0.341049:0.766385:0.336355:0.766385:0.000000
(1)   :@0.341049:0.781821:0.383183:0.781821:0.383183:0.766108:0.341049:0.766108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.363819:0.781266:0.379152:0.781266:0.379152:0.767550:0.363819:0.767550:0.000000
3:@0.399855:0.775104:0.408429:0.775104:0.408429:0.760105:0.399855:0.760105:0.000000
1   2:@0.384401:0.788972:0.423882:0.788972:0.423882:0.773973:0.384401:0.773973:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.396824:0.788442:0.411460:0.788442:0.411460:0.775350:0.396824:0.775350:0.000000
   1.:@0.425105:0.781814:0.460318:0.781814:0.460318:0.766102:0.425105:0.766102:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.428768:0.781260:0.444101:0.781260:0.444101:0.767544:0.428768:0.767544:0.000000
Figura 2.3.:@0.726987:0.771341:0.781179:0.771341:0.781179:0.759800:0.726987:0.759800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.687001:0.662105:0.691078:0.662105:0.691078:0.653686:0.687001:0.653686:0.000000
x:@0.782917:0.724302:0.786983:0.724302:0.786983:0.715883:0.782917:0.715883:0.000000
asíntota V:@0.632774:0.680330:0.671559:0.680330:0.671559:0.671759:0.632774:0.671759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntota H:@0.628476:0.714294:0.668828:0.714294:0.668828:0.705723:0.628476:0.705723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.689327:0.710325:0.692594:0.710325:0.692594:0.704611:0.689327:0.704611:0.000000
1 2 3 4 5 6 7:@0.703156:0.721773:0.761651:0.721758:0.761651:0.716044:0.703156:0.716059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.682172:0.721571:0.687748:0.721571:0.687748:0.716584:0.682172:0.716584:0.000000
1:@0.687413:0.721773:0.690679:0.721773:0.690679:0.716059:0.687413:0.716059:0.000000
2:@0.684066:0.724788:0.689642:0.724788:0.689642:0.719801:0.684066:0.719801:0.000000
1:@0.689307:0.724990:0.692574:0.724990:0.692574:0.719276:0.689307:0.719276:0.000000
2:@0.684274:0.731576:0.689849:0.731576:0.689849:0.726589:0.684274:0.726589:0.000000
2:@0.689515:0.731778:0.692781:0.731778:0.692781:0.726064:0.689515:0.726064:0.000000
2:@0.684066:0.738364:0.689642:0.738364:0.689642:0.733377:0.684066:0.733377:0.000000
3:@0.689307:0.738566:0.692574:0.738566:0.692574:0.732852:0.689307:0.732852:0.000000
2:@0.684066:0.745152:0.689642:0.745152:0.689642:0.740164:0.684066:0.740164:0.000000
4:@0.689307:0.745354:0.692574:0.745354:0.692574:0.739640:0.689307:0.739640:0.000000
2:@0.684066:0.751940:0.689642:0.751940:0.689642:0.746952:0.684066:0.746952:0.000000
5:@0.689307:0.752142:0.692574:0.752142:0.692574:0.746428:0.689307:0.746428:0.000000
2:@0.684066:0.758728:0.689642:0.758728:0.689642:0.753740:0.684066:0.753740:0.000000
6:@0.689307:0.758929:0.692574:0.758929:0.692574:0.753216:0.689307:0.753216:0.000000
2:@0.684274:0.765516:0.689849:0.765516:0.689849:0.760528:0.684274:0.760528:0.000000
7:@0.689515:0.765717:0.692781:0.765717:0.692781:0.760004:0.689515:0.760004:0.000000
2:@0.673162:0.721556:0.678738:0.721556:0.678738:0.716568:0.673162:0.716568:0.000000
2:@0.678404:0.721758:0.681670:0.721758:0.681670:0.716044:0.678404:0.716044:0.000000
2:@0.664160:0.721556:0.669735:0.721556:0.669735:0.716568:0.664160:0.716568:0.000000
3:@0.669401:0.721758:0.672667:0.721758:0.672667:0.716044:0.669401:0.716044:0.000000
2:@0.655157:0.721556:0.660733:0.721556:0.660733:0.716568:0.655157:0.716568:0.000000
4:@0.660398:0.721758:0.663664:0.721758:0.663664:0.716044:0.660398:0.716044:0.000000
2:@0.646154:0.721556:0.651730:0.721556:0.651730:0.716568:0.646154:0.716568:0.000000
5:@0.651395:0.721758:0.654662:0.721758:0.654662:0.716044:0.651395:0.716044:0.000000
2:@0.637151:0.721556:0.642727:0.721556:0.642727:0.716568:0.637151:0.716568:0.000000
6:@0.642392:0.721758:0.645659:0.721758:0.645659:0.716044:0.642392:0.716044:0.000000
2:@0.689347:0.703431:0.692614:0.703431:0.692614:0.697718:0.689347:0.697718:0.000000
3:@0.689347:0.696553:0.692614:0.696553:0.692614:0.690839:0.689347:0.690839:0.000000
4:@0.689347:0.689674:0.692614:0.689674:0.692614:0.683960:0.689347:0.683960:0.000000
5:@0.689347:0.682796:0.692614:0.682796:0.692614:0.677082:0.689347:0.677082:0.000000
6:@0.689347:0.675917:0.692614:0.675917:0.692614:0.670203:0.689347:0.670203:0.000000
7:@0.689347:0.669038:0.692614:0.669038:0.692614:0.663325:0.689347:0.663325:0.000000
En la región en la que      2, tenemos que la función   es estrictamente decreciente al :@0.073089:0.835053:0.710517:0.835053:0.710517:0.819341:0.073089:0.819341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.233416:0.835053:0.240871:0.835053:0.240871:0.819618:0.233416:0.819618:0.000000
. 2:@0.244755:0.834498:0.279287:0.834498:0.279287:0.820783:0.244755:0.820783:0.000000:0.000000:0.000000
f:@0.471624:0.835053:0.476318:0.835053:0.476318:0.819618:0.471624:0.819618:0.000000
igual que en la región en que      2. Así,   es decreciente en el conjunto   \ { 2}.:@0.073070:0.851695:0.671009:0.851695:0.671009:0.835982:0.073070:0.835982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.289503:0.851695:0.296958:0.851695:0.296958:0.836260:0.289503:0.836260:0.000000
, 2:@0.300842:0.851140:0.335374:0.851140:0.335374:0.837425:0.300842:0.837425:0.000000:0.000000:0.000000
f:@0.379422:0.851695:0.384116:0.851695:0.384116:0.836260:0.379422:0.836260:0.000000
:@0.606639:0.850835:0.619929:0.850835:0.619929:0.837938:0.606639:0.837938:0.000000
2:@0.638851:0.851140:0.654185:0.851140:0.654185:0.837425:0.638851:0.837425:0.000000
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