﻿167:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.597716:0.043660:0.920912:0.043660:0.920912:0.024915:0.597716:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.344485:0.848854:0.344485:0.848854:0.327538:0.740294:0.327538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.361127:0.837769:0.361127:0.837769:0.344180:0.740294:0.344180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función creciente:@0.169491:0.145834:0.293019:0.145834:0.293019:0.130680:0.169491:0.130680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función decreciente:@0.476976:0.145834:0.618326:0.145834:0.618326:0.130680:0.476976:0.130680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función es creciente en un intervalo  Una función es decreciente en un interva-:@0.080176:0.173578:0.698728:0.173573:0.698728:0.157860:0.080176:0.157865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si, a medida que aumenta el valor de  ,  lo si, a medida que aumenta el valor de  , :@0.080176:0.190220:0.702760:0.190215:0.702760:0.174502:0.080176:0.174507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.371508:0.190220:0.378963:0.190220:0.378963:0.173814:0.371508:0.173814:0.000000
aumenta el valor de . :@0.080176:0.206862:0.242252:0.206862:0.242252:0.191149:0.080176:0.191149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y:@0.224360:0.206862:0.235073:0.206862:0.235073:0.190456:0.224360:0.190456:0.000000:0.000000
x:@0.080176:0.227082:0.088073:0.227082:0.088073:0.211369:0.080176:0.211369:0.000000
1:@0.089097:0.230249:0.094334:0.230249:0.094334:0.221088:0.089097:0.221088:0.000000
<:@0.094931:0.227659:0.110264:0.227659:0.110264:0.210005:0.094931:0.210005:0.000000
x  :@0.111276:0.227077:0.130062:0.227077:0.130062:0.211364:0.111276:0.211364:0.000000:0.000000:0.000000
2:@0.120197:0.230249:0.125434:0.230249:0.125434:0.221088:0.120197:0.221088:0.000000
  (x ):@0.148676:0.227077:0.184997:0.227077:0.184997:0.211364:0.148676:0.211364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.153732:0.227077:0.158425:0.227077:0.158425:0.210670:0.153732:0.210670:0.000000
1:@0.174286:0.230249:0.179523:0.230249:0.179523:0.221088:0.174286:0.221088:0.000000
<:@0.186028:0.227659:0.201361:0.227659:0.201361:0.210005:0.186028:0.210005:0.000000
f:@0.202374:0.227077:0.207067:0.227077:0.207067:0.210670:0.202374:0.210670:0.000000
(x ):@0.208098:0.227077:0.233632:0.227077:0.233632:0.211364:0.208098:0.211364:0.000000:0.000000:0.000000:0.000000
2:@0.222921:0.230249:0.228158:0.230249:0.228158:0.221088:0.222921:0.221088:0.000000
x:@0.688126:0.190215:0.695581:0.190215:0.695581:0.173809:0.688126:0.173809:0.000000
disminuye el valor de  .:@0.396573:0.206857:0.565294:0.206857:0.565294:0.191144:0.396573:0.191144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.554692:0.206857:0.562165:0.206857:0.562165:0.190451:0.554692:0.190451:0.000000
x:@0.396573:0.227077:0.404470:0.227077:0.404470:0.211364:0.396573:0.211364:0.000000
1:@0.405486:0.230249:0.410723:0.230249:0.410723:0.221088:0.405486:0.221088:0.000000
<:@0.411319:0.227659:0.426653:0.227659:0.426653:0.210005:0.411319:0.210005:0.000000
x:@0.427665:0.227077:0.435562:0.227077:0.435562:0.211364:0.427665:0.211364:0.000000
2:@0.436586:0.230249:0.441823:0.230249:0.441823:0.221088:0.436586:0.221088:0.000000
f:@0.470120:0.227077:0.474814:0.227077:0.474814:0.210670:0.470120:0.210670:0.000000
(x ):@0.475845:0.227077:0.501386:0.227077:0.501386:0.211364:0.475845:0.211364:0.000000:0.000000:0.000000:0.000000
1:@0.490675:0.230249:0.495911:0.230249:0.495911:0.221088:0.490675:0.221088:0.000000
>:@0.502417:0.227659:0.517750:0.227659:0.517750:0.210005:0.502417:0.210005:0.000000
f:@0.518762:0.227077:0.523456:0.227077:0.523456:0.210670:0.518762:0.210670:0.000000
(x ):@0.524487:0.227077:0.550021:0.227077:0.550021:0.211364:0.524487:0.211364:0.000000:0.000000:0.000000:0.000000
2:@0.539310:0.230249:0.544547:0.230249:0.544547:0.221088:0.539310:0.221088:0.000000
Función constante:@0.325180:0.395254:0.453828:0.395254:0.453828:0.380099:0.325180:0.380099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función es constante en un intervalo :@0.080706:0.442471:0.386364:0.442471:0.386364:0.426758:0.080706:0.426758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si, a medida que aumenta el valor de  , se :@0.080706:0.459113:0.386415:0.459113:0.386415:0.443400:0.080706:0.443400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.352047:0.459113:0.359502:0.459113:0.359502:0.442707:0.352047:0.442707:0.000000
mantiene el mismo valor en  .:@0.080688:0.475755:0.297912:0.475755:0.297912:0.460042:0.080688:0.460042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.287309:0.475755:0.294782:0.475755:0.294782:0.459349:0.287309:0.459349:0.000000
x:@0.080688:0.503117:0.088142:0.503117:0.088142:0.486711:0.080688:0.486711:0.000000
1:@0.089199:0.506290:0.094436:0.506290:0.094436:0.497130:0.089199:0.497130:0.000000
<:@0.095033:0.503700:0.110366:0.503700:0.110366:0.486046:0.095033:0.486046:0.000000
x:@0.111379:0.503118:0.118834:0.503118:0.118834:0.486712:0.111379:0.486712:0.000000
2:@0.119872:0.506290:0.125109:0.506290:0.125109:0.497130:0.119872:0.497130:0.000000
 :@0.125705:0.503118:0.129737:0.503118:0.129737:0.487405:0.125705:0.487405:0.000000
  ( ):@0.148352:0.503118:0.184244:0.503118:0.184244:0.487405:0.148352:0.487405:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.153405:0.503118:0.172494:0.503118:0.172494:0.486712:0.153405:0.486712:0.000000:0.000000:0.000000
1:@0.173533:0.506290:0.178770:0.506290:0.178770:0.497130:0.173533:0.497130:0.000000
=:@0.185275:0.503700:0.200608:0.503700:0.200608:0.486046:0.185275:0.486046:0.000000
f x:@0.201621:0.503118:0.220709:0.503118:0.220709:0.486712:0.201621:0.486712:0.000000:0.000000:0.000000
( ):@0.207345:0.503118:0.232453:0.503118:0.232453:0.487405:0.207345:0.487405:0.000000:0.000000:0.000000
2:@0.221741:0.506290:0.226978:0.506290:0.226978:0.497130:0.221741:0.497130:0.000000
Ejemplo 1:@0.073083:0.559090:0.149454:0.559090:0.149454:0.542420:0.073083:0.542420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Grafica la función  (x):@0.073083:0.579310:0.229139:0.579310:0.229139:0.563597:0.073083:0.563597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.203701:0.579310:0.208394:0.579310:0.208394:0.562904:0.203701:0.562904:0.000000
=:@0.230170:0.579892:0.245503:0.579892:0.245503:0.562238:0.230170:0.562238:0.000000
x:@0.246516:0.579310:0.253971:0.579310:0.253971:0.562904:0.246516:0.562904:0.000000
2:@0.254998:0.573237:0.260235:0.573237:0.260235:0.564077:0.254998:0.564077:0.000000
+4:@0.260832:0.579301:0.281816:0.579301:0.281816:0.563588:0.260832:0.563588:0.000000:0.000000
x:@0.282828:0.579301:0.290283:0.579301:0.290283:0.562895:0.282828:0.562895:0.000000
–:@0.291314:0.579883:0.300518:0.579883:0.300518:0.562229:0.291314:0.562229:0.000000
2 y analiza su monotonía.:@0.301530:0.579301:0.487073:0.579301:0.487073:0.563588:0.301530:0.563588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Construimos su tabla de valores.:@0.073078:0.595943:0.306717:0.595943:0.306717:0.580230:0.073078:0.580230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.110643:0.623164:0.118391:0.623164:0.118391:0.608009:0.110643:0.608009:0.000000
–5:@0.182750:0.623164:0.199283:0.623164:0.199283:0.608879:0.182750:0.608879:0.000000:0.000000
–4:@0.253902:0.623164:0.270435:0.623164:0.270435:0.608879:0.253902:0.608879:0.000000:0.000000
–2:@0.325054:0.623164:0.341587:0.623164:0.341587:0.608879:0.325054:0.608879:0.000000:0.000000
–1:@0.396207:0.623164:0.412740:0.623164:0.412740:0.608879:0.396207:0.608879:0.000000:0.000000
0:@0.471543:0.623164:0.479709:0.623164:0.479709:0.608879:0.471543:0.608879:0.000000
1:@0.542695:0.623164:0.550861:0.623164:0.550861:0.608879:0.542695:0.608879:0.000000
y:@0.110576:0.641028:0.118458:0.641028:0.118458:0.625874:0.110576:0.625874:0.000000
3:@0.186933:0.641028:0.195099:0.641028:0.195099:0.626744:0.186933:0.626744:0.000000
–2:@0.253902:0.641028:0.270435:0.641028:0.270435:0.626744:0.253902:0.626744:0.000000:0.000000
–6:@0.325054:0.641028:0.341587:0.641028:0.341587:0.626744:0.325054:0.626744:0.000000:0.000000
–5:@0.396207:0.641028:0.412740:0.641028:0.412740:0.626744:0.396207:0.626744:0.000000:0.000000
–2:@0.467359:0.641028:0.483892:0.641028:0.483892:0.626744:0.467359:0.626744:0.000000:0.000000
3:@0.542695:0.641028:0.550861:0.641028:0.550861:0.626744:0.542695:0.626744:0.000000
Ubicamos los pares ordenados en el plano cartesiano y obtenemos la gráfica. :@0.073089:0.674546:0.635598:0.674546:0.635598:0.658834:0.073089:0.658834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observamos en la función que, en el in-:@0.339405:0.708218:0.623889:0.708218:0.623889:0.692506:0.339405:0.692506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tervalo (:@0.339405:0.724860:0.398750:0.724860:0.398750:0.709148:0.339405:0.709148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–∞ –:@0.399781:0.725443:0.436724:0.725443:0.436724:0.707789:0.399781:0.707789:0.000000:0.000000:0.000000:0.000000
; 2), mientras   aumenta,   :@0.423287:0.724860:0.627920:0.724860:0.627920:0.709148:0.423287:0.709148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.530767:0.724860:0.538884:0.724860:0.538884:0.708177:0.530767:0.708177:0.000000
y:@0.615772:0.724860:0.623889:0.724860:0.623889:0.708177:0.615772:0.708177:0.000000
disminuye; por lo tanto, es decreciente. :@0.339405:0.741502:0.628106:0.741502:0.628106:0.725789:0.339405:0.725789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En tanto que en el intervalo ( 2; ), :@0.339405:0.758144:0.614557:0.758144:0.614557:0.742431:0.339405:0.742431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– ∞:@0.562446:0.758726:0.599831:0.758726:0.599831:0.741072:0.562446:0.741072:0.000000:0.000000:0.000000
x :@0.615753:0.758144:0.627221:0.758144:0.627221:0.741461:0.615753:0.741461:0.000000:0.000000
aumenta y también lo hace ; en conse-:@0.339387:0.774786:0.623871:0.774786:0.623871:0.759073:0.339387:0.759073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.535424:0.774786:0.538811:0.774786:0.538811:0.757631:0.535424:0.757631:0.000000
y:@0.538351:0.774786:0.546468:0.774786:0.546468:0.758102:0.538351:0.758102:0.000000
cuencia, es creciente en ese intervalo.:@0.339387:0.791428:0.611578:0.791428:0.611578:0.775715:0.339387:0.775715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como la función es creciente y decre-:@0.339387:0.818790:0.623871:0.818790:0.623871:0.803077:0.339387:0.803077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciente, no es monótona.:@0.339387:0.835431:0.514988:0.835431:0.514988:0.819719:0.339387:0.819719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.135011:0.357154:0.141560:0.357154:0.141560:0.346277:0.135011:0.346277:0.000000
 :@0.180246:0.318968:0.181506:0.317552:0.171478:0.312484:0.170218:0.313901:0.000000
F:@0.181339:0.317692:0.184450:0.314553:0.174776:0.309110:0.171665:0.312248:0.000000
u:@0.184084:0.314898:0.187837:0.311485:0.178538:0.305682:0.174785:0.309095:0.000000
n:@0.187693:0.311614:0.191692:0.308320:0.182783:0.302180:0.178784:0.305473:0.000000
c:@0.191579:0.308423:0.194951:0.305868:0.186389:0.299453:0.183016:0.302009:0.000000
i:@0.194873:0.305941:0.196683:0.304643:0.188356:0.298055:0.186546:0.299353:0.000000
ó:@0.196555:0.304706:0.200922:0.301761:0.192868:0.294983:0.188501:0.297928:0.000000
n:@0.200784:0.301849:0.205364:0.299017:0.197703:0.291985:0.193123:0.294817:0.000000
 :@0.205272:0.299097:0.207063:0.298054:0.199682:0.290855:0.197890:0.291898:0.000000
c:@0.206975:0.298090:0.210833:0.295961:0.203697:0.288622:0.199839:0.290752:0.000000
r:@0.210735:0.296022:0.213612:0.294532:0.206770:0.287036:0.203893:0.288526:0.000000
e:@0.213392:0.294629:0.217891:0.292450:0.211361:0.284798:0.206862:0.286977:0.000000
c:@0.217761:0.292515:0.221875:0.290677:0.215719:0.282851:0.211605:0.284688:0.000000
i:@0.221788:0.290729:0.223970:0.289812:0.218089:0.281867:0.215907:0.282784:0.000000
e:@0.223845:0.289845:0.228588:0.287982:0.223007:0.279915:0.218264:0.281777:0.000000
n:@0.228442:0.288031:0.233803:0.286130:0.228662:0.277899:0.223300:0.279800:0.000000
t:@0.233622:0.286209:0.236868:0.285157:0.232095:0.276801:0.228849:0.277853:0.000000
e:@0.236688:0.285201:0.241665:0.283725:0.237243:0.275260:0.232266:0.276736:0.000000
f x:@0.115749:0.280265:0.129958:0.280265:0.129958:0.270411:0.115749:0.270411:0.000000:0.000000:0.000000
 ( ):@0.119045:0.280265:0.136748:0.280265:0.136748:0.270341:0.119045:0.270341:0.000000:0.000000:0.000000:0.000000
2:@0.129957:0.282271:0.133441:0.282271:0.133441:0.276485:0.129957:0.276485:0.000000
f x:@0.115749:0.321568:0.129958:0.321568:0.129958:0.311714:0.115749:0.311714:0.000000:0.000000:0.000000
 ( ):@0.119045:0.321568:0.136748:0.321566:0.136748:0.311641:0.119045:0.311644:0.000000:0.000000:0.000000:0.000000
1:@0.129957:0.323573:0.133440:0.323573:0.133440:0.317787:0.129957:0.317787:0.000000
X:@0.178070:0.355849:0.184138:0.355849:0.184138:0.345995:0.178070:0.345995:0.000000
1:@0.184135:0.357853:0.187619:0.357853:0.187619:0.352067:0.184135:0.352067:0.000000
X:@0.286769:0.355847:0.292837:0.355847:0.292837:0.345992:0.286769:0.345992:0.000000
2:@0.292838:0.357853:0.296322:0.357853:0.296322:0.352067:0.292838:0.352067:0.000000
Aumenta:@0.210310:0.356904:0.251414:0.356904:0.251414:0.347807:0.210310:0.347807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aumenta:@0.129766:0.312947:0.129766:0.281979:0.117691:0.281979:0.117691:0.312947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.349170:0.348046:0.353878:0.348046:0.353878:0.339013:0.349170:0.339013:0.000000
y:@0.142893:0.246787:0.147601:0.246787:0.147601:0.237754:0.142893:0.237754:0.000000
0:@0.436350:0.357154:0.442898:0.357154:0.442898:0.346277:0.436350:0.346277:0.000000
 :@0.481239:0.276567:0.483502:0.276588:0.483651:0.267491:0.481388:0.267470:0.000000
F:@0.483360:0.276569:0.488553:0.276754:0.489123:0.267667:0.483930:0.267482:0.000000
u:@0.487997:0.276721:0.493858:0.277101:0.494895:0.268038:0.489034:0.267657:0.000000
n:@0.493700:0.277091:0.499579:0.277651:0.501093:0.268625:0.495215:0.268065:0.000000
c:@0.499426:0.277642:0.504148:0.278217:0.506073:0.269236:0.501351:0.268661:0.000000
i:@0.504041:0.278213:0.506498:0.278555:0.508696:0.269610:0.506239:0.269268:0.000000
ó:@0.506392:0.278523:0.512125:0.279440:0.514635:0.270542:0.508901:0.269624:0.000000
n:@0.511968:0.279411:0.517714:0.280501:0.520662:0.271679:0.514915:0.270589:0.000000
 :@0.517589:0.280494:0.519768:0.280954:0.523020:0.272192:0.520840:0.271733:0.000000
d:@0.519664:0.280910:0.525417:0.282249:0.528979:0.273556:0.523225:0.272218:0.000000
e:@0.525260:0.282214:0.530308:0.283546:0.534298:0.274960:0.529250:0.273628:0.000000
c:@0.530175:0.283513:0.534633:0.284819:0.539008:0.276340:0.534550:0.275034:0.000000
r:@0.534501:0.284786:0.537718:0.285807:0.542409:0.277425:0.539192:0.276403:0.000000
e:@0.537509:0.285727:0.542373:0.287403:0.547395:0.279130:0.542531:0.277454:0.000000
c:@0.542230:0.287356:0.546505:0.288972:0.551919:0.280840:0.547644:0.279225:0.000000
i:@0.546390:0.288938:0.548593:0.289826:0.554288:0.281804:0.552085:0.280916:0.000000
e:@0.548493:0.289767:0.553135:0.291769:0.559133:0.283874:0.554491:0.281872:0.000000
n:@0.552982:0.291693:0.557996:0.294072:0.564429:0.286373:0.559415:0.283994:0.000000
t:@0.557813:0.294001:0.560735:0.295498:0.567525:0.287975:0.564603:0.286478:0.000000
e:@0.560574:0.295398:0.564894:0.297774:0.572015:0.290427:0.567695:0.288051:0.000000
f x:@0.417087:0.279716:0.431297:0.279716:0.431297:0.269862:0.417087:0.269862:0.000000:0.000000:0.000000
 ( ):@0.420384:0.279716:0.438088:0.279716:0.438088:0.269792:0.420384:0.269792:0.000000:0.000000:0.000000:0.000000
2:@0.431296:0.281723:0.434780:0.281723:0.434780:0.275937:0.431296:0.275937:0.000000
f x:@0.417089:0.322116:0.431298:0.322116:0.431298:0.312262:0.417089:0.312262:0.000000:0.000000:0.000000
 ( ):@0.420385:0.322116:0.438088:0.322114:0.438088:0.312190:0.420385:0.312192:0.000000:0.000000:0.000000:0.000000
1:@0.431296:0.324122:0.434780:0.324122:0.434780:0.318336:0.431296:0.318336:0.000000
X:@0.479411:0.355844:0.485479:0.355844:0.485479:0.345990:0.479411:0.345990:0.000000
1:@0.485474:0.357853:0.488957:0.357853:0.488957:0.352067:0.485474:0.352067:0.000000
X:@0.588109:0.355847:0.594177:0.355847:0.594177:0.345992:0.588109:0.345992:0.000000
2:@0.594177:0.357853:0.597660:0.357853:0.597660:0.352067:0.594177:0.352067:0.000000
Aumenta:@0.511649:0.356904:0.552752:0.356904:0.552752:0.347807:0.511649:0.347807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Disminuye:@0.431105:0.312947:0.431105:0.280516:0.419031:0.280516:0.419031:0.312947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.650508:0.348046:0.655216:0.348046:0.655216:0.339013:0.650508:0.339013:0.000000
y:@0.444233:0.246787:0.448941:0.246787:0.448941:0.237754:0.444233:0.237754:0.000000
0:@0.465375:0.517003:0.471443:0.517003:0.471443:0.506923:0.465375:0.506923:0.000000
f x:@0.420019:0.458406:0.433186:0.458406:0.433186:0.449275:0.420019:0.449275:0.000000:0.000000:0.000000
 ( ) =   ( ):@0.423073:0.458406:0.469946:0.458406:0.469946:0.449210:0.423073:0.449210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.433185:0.460266:0.436413:0.460266:0.436413:0.454905:0.433185:0.454905:0.000000
f x:@0.450487:0.458406:0.463654:0.458406:0.463654:0.449275:0.450487:0.449275:0.000000:0.000000:0.000000
2:@0.463653:0.460266:0.466881:0.460266:0.466881:0.454905:0.463653:0.454905:0.000000
X:@0.505270:0.515789:0.510893:0.515789:0.510893:0.506657:0.505270:0.506657:0.000000
1:@0.510896:0.517652:0.514124:0.517652:0.514124:0.512290:0.510896:0.512290:0.000000
X:@0.606004:0.515791:0.611627:0.515791:0.611627:0.506660:0.606004:0.506660:0.000000
2:@0.611627:0.517652:0.614855:0.517652:0.614855:0.512290:0.611627:0.512290:0.000000
Aumenta:@0.535152:0.516772:0.573241:0.516772:0.573241:0.508342:0.535152:0.508342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.663823:0.508565:0.668186:0.508565:0.668186:0.500195:0.663823:0.500195:0.000000
y:@0.472679:0.414730:0.477042:0.414730:0.477042:0.406359:0.472679:0.406359:0.000000
Función constante:@0.524740:0.454523:0.592884:0.454523:0.592884:0.446092:0.524740:0.446092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Constante:@0.425283:0.467276:0.463461:0.467276:0.463461:0.458846:0.425283:0.458846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.248435:0.767185:0.253771:0.767185:0.253771:0.758322:0.248435:0.758322:0.000000
1:@0.216286:0.741184:0.221621:0.741184:0.221621:0.732322:0.216286:0.732322:0.000000
2:@0.216286:0.720168:0.221621:0.720168:0.221621:0.711305:0.216286:0.711305:0.000000
3:@0.216286:0.698798:0.221622:0.698798:0.221622:0.689935:0.216286:0.689935:0.000000
0:@0.216286:0.767185:0.221622:0.767185:0.221622:0.758322:0.216286:0.758322:0.000000
-1:@0.191605:0.767185:0.200133:0.767185:0.200133:0.758322:0.191605:0.758322:0.000000:0.000000
-1:@0.213291:0.783390:0.221819:0.783390:0.221819:0.774527:0.213291:0.774527:0.000000:0.000000
-2:@0.164718:0.767185:0.173247:0.767185:0.173247:0.758322:0.164718:0.758322:0.000000:0.000000
-2:@0.213291:0.804759:0.221819:0.804759:0.221819:0.795896:0.213291:0.795896:0.000000:0.000000
-3:@0.137884:0.767185:0.146413:0.767185:0.146413:0.758322:0.137884:0.758322:0.000000:0.000000
-3:@0.213291:0.825956:0.221819:0.825956:0.221819:0.817093:0.213291:0.817093:0.000000:0.000000
-4:@0.111881:0.767185:0.120410:0.767185:0.120410:0.758322:0.111881:0.758322:0.000000:0.000000
-4:@0.213291:0.847153:0.221819:0.847153:0.221819:0.838290:0.213291:0.838290:0.000000:0.000000
-5:@0.213291:0.868436:0.221819:0.868436:0.221819:0.859573:0.213291:0.859573:0.000000:0.000000
-6:@0.213291:0.889719:0.221819:0.889719:0.221819:0.880856:0.213291:0.880856:0.000000:0.000000
-5:@0.083872:0.767192:0.092401:0.767192:0.092401:0.758330:0.083872:0.758330:0.000000:0.000000
2:@0.275228:0.767192:0.280564:0.767192:0.280564:0.758330:0.275228:0.758330:0.000000
A:@0.228262:0.801956:0.234878:0.801956:0.234878:0.793031:0.228262:0.793031:0.000000
F:@0.202395:0.868430:0.207689:0.868430:0.207689:0.859505:0.202395:0.859505:0.000000
E:@0.169736:0.882676:0.175093:0.882676:0.175093:0.873751:0.169736:0.873751:0.000000
C:@0.144462:0.862514:0.150578:0.862514:0.150578:0.853588:0.144462:0.853588:0.000000
G:@0.117555:0.799801:0.124482:0.799801:0.124482:0.790876:0.117555:0.790876:0.000000
D:@0.094525:0.698796:0.101629:0.698796:0.101629:0.689870:0.094525:0.689870:0.000000
B:@0.257098:0.699422:0.263089:0.699422:0.263089:0.690497:0.257098:0.690497:0.000000
Una función que en :@0.744288:0.387278:0.879079:0.387278:0.879079:0.372994:0.744288:0.372994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todo su dominio se :@0.744288:0.402407:0.875843:0.402407:0.875843:0.388123:0.744288:0.388123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mantiene creciente :@0.744288:0.417536:0.876171:0.417536:0.876171:0.403252:0.744288:0.403252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o decreciente, se:@0.744288:0.432665:0.855316:0.432665:0.855316:0.418381:0.744288:0.418381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denomina estrictamente :@0.744288:0.447794:0.911525:0.447794:0.911525:0.433510:0.744288:0.433510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente o estrictamente :@0.744288:0.462923:0.916580:0.462923:0.916580:0.448639:0.744288:0.448639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente.:@0.744288:0.478052:0.825061:0.478052:0.825061:0.463768:0.744288:0.463768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estrictamente creciente:@0.756897:0.590188:0.859085:0.590188:0.859085:0.580753:0.756897:0.580753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estrictamente decreciente:@0.757941:0.695561:0.871868:0.695561:0.871868:0.686072:0.757941:0.686072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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