43:@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
0:@0.488044:0.393218:0.496210:0.393218:0.496210:0.378933:0.488044:0.378933:0.000000
2:@0.429844:0.392713:0.443783:0.392713:0.443783:0.380244:0.429844:0.380244:0.000000
2:@0.443783:0.393218:0.451949:0.393218:0.451949:0.378933:0.443783:0.378933:0.000000
2:@0.545558:0.394705:0.553724:0.394705:0.553724:0.380421:0.545558:0.380421:0.000000
2:@0.487408:0.346822:0.495574:0.346822:0.495574:0.332538:0.487408:0.332538:0.000000
2:@0.473469:0.427106:0.487408:0.427106:0.487408:0.414638:0.473469:0.414638:0.000000
2:@0.487408:0.427611:0.495574:0.427611:0.495574:0.413326:0.487408:0.413326:0.000000
2:@0.473469:0.467501:0.487408:0.467501:0.487408:0.455032:0.473469:0.455032:0.000000
4:@0.487408:0.468005:0.495574:0.468005:0.495574:0.453721:0.487408:0.453721:0.000000
2:@0.473469:0.507895:0.487408:0.507895:0.487408:0.495426:0.473469:0.495426:0.000000
6:@0.487408:0.508399:0.495574:0.508399:0.495574:0.494115:0.487408:0.494115:0.000000
2:@0.473469:0.548289:0.487408:0.548289:0.487408:0.535820:0.473469:0.535820:0.000000
8:@0.487408:0.548793:0.495574:0.548793:0.495574:0.534509:0.487408:0.534509:0.000000
2:@0.465303:0.588683:0.479242:0.588683:0.479242:0.576215:0.465303:0.576215:0.000000
10:@0.479242:0.589188:0.495574:0.589188:0.495574:0.574904:0.479242:0.574904:0.000000:0.000000
2:@0.465303:0.629078:0.479242:0.629078:0.479242:0.616609:0.465303:0.616609:0.000000
12:@0.479242:0.629582:0.495574:0.629582:0.495574:0.615298:0.479242:0.615298:0.000000:0.000000
4:@0.486488:0.305520:0.494654:0.305520:0.494654:0.291236:0.486488:0.291236:0.000000
6:@0.486488:0.266008:0.494654:0.266008:0.494654:0.251724:0.486488:0.251724:0.000000
8:@0.486488:0.225614:0.494654:0.225614:0.494654:0.211330:0.486488:0.211330:0.000000
10:@0.478322:0.184615:0.494654:0.184615:0.494654:0.170330:0.478322:0.170330:0.000000:0.000000
12:@0.478322:0.144826:0.494654:0.144826:0.494654:0.130541:0.478322:0.130541:0.000000:0.000000
4:@0.599692:0.394693:0.607859:0.394693:0.607859:0.380408:0.599692:0.380408:0.000000
6:@0.653826:0.394693:0.661993:0.394693:0.661993:0.380408:0.653826:0.380408:0.000000
8:@0.707961:0.394693:0.716127:0.394693:0.716127:0.380408:0.707961:0.380408:0.000000
10:@0.756974:0.394693:0.773306:0.394693:0.773306:0.380408:0.756974:0.380408:0.000000:0.000000
2:@0.377099:0.392701:0.391038:0.392701:0.391038:0.380232:0.377099:0.380232:0.000000
4:@0.391038:0.393205:0.399204:0.393205:0.399204:0.378921:0.391038:0.378921:0.000000
2:@0.321760:0.392701:0.335699:0.392701:0.335699:0.380232:0.321760:0.380232:0.000000
6:@0.335699:0.393205:0.343865:0.393205:0.343865:0.378921:0.335699:0.378921:0.000000
2:@0.268295:0.392701:0.282234:0.392701:0.282234:0.380232:0.268295:0.380232:0.000000
8:@0.282234:0.393205:0.290400:0.393205:0.290400:0.378921:0.282234:0.378921:0.000000
2:@0.211366:0.392701:0.225306:0.392701:0.225306:0.380232:0.211366:0.380232:0.000000
10:@0.225306:0.393205:0.241638:0.393205:0.241638:0.378921:0.225306:0.378921:0.000000:0.000000
f x:@0.239111:0.362977:0.254590:0.362977:0.254590:0.348945:0.239111:0.348945:0.000000:0.000000:0.000000
( ):@0.243378:0.362977:0.259024:0.362977:0.259024:0.348693:0.243378:0.348693:0.000000:0.000000:0.000000
5:@0.259024:0.362473:0.272964:0.362473:0.272964:0.350004:0.259024:0.350004:0.000000
x:@0.529042:0.139498:0.535819:0.139498:0.535819:0.125466:0.529042:0.125466:0.000000
5 :@0.535819:0.138993:0.553942:0.138993:0.553942:0.126525:0.535819:0.126525:0.000000:0.000000
1:@0.553942:0.139498:0.562108:0.139498:0.562108:0.125213:0.553942:0.125213:0.000000
1:@0.288225:0.355804:0.296391:0.355804:0.296391:0.341519:0.288225:0.341519:0.000000
x:@0.277867:0.370151:0.284644:0.370151:0.284644:0.356119:0.277867:0.356119:0.000000
2:@0.284644:0.369647:0.298583:0.369647:0.298583:0.357178:0.284644:0.357178:0.000000
1:@0.298583:0.370151:0.306749:0.370151:0.306749:0.355867:0.298583:0.355867:0.000000
Figura 4.8:@0.875585:0.666814:0.926911:0.666814:0.926911:0.655387:0.875585:0.655387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La gráfica se construye al tomar valores de   alrededor del 1, como están en las tablas y otros valores mayores que 1 y :@0.073089:0.695123:0.931213:0.695123:0.931213:0.679410:0.073089:0.679410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.385331:0.695123:0.392786:0.695123:0.392786:0.679688:0.385331:0.679688:0.000000
menores que 1. Así, validamos los comportamientos de la curva alrededor del 1 por la izquierda, cuyas imágenes van :@0.073089:0.711765:0.930924:0.711765:0.930924:0.696052:0.073089:0.696052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia menos infinito y por la derecha del 1, cuyas imágenes van hacia el infinito. Este comportamiento genera una :@0.073089:0.728407:0.930490:0.728407:0.930490:0.712694:0.073089:0.712694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación que se llama asíntota vertical     1. Y si observamos la curva para valores de   mayores que 1, notamos que :@0.073089:0.745049:0.931084:0.745049:0.931084:0.729336:0.073089:0.729336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.358585:0.745049:0.366040:0.745049:0.366040:0.729613:0.358585:0.729613:0.000000
5:@0.370274:0.744494:0.385607:0.744494:0.385607:0.730778:0.370274:0.730778:0.000000
x:@0.702617:0.745049:0.710072:0.745049:0.710072:0.729613:0.702617:0.729613:0.000000
las imágenes se acercan al cero por arriba. Del mismo modo, las imágenes de x menores que 1 se acercan a cero por :@0.073070:0.761690:0.931419:0.761690:0.931419:0.745978:0.073070:0.745978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abajo, comportamiento que permite generar una ecuación de una recta     0 y que recibe el nombre de asíntota :@0.073070:0.778332:0.930994:0.778332:0.930994:0.762620:0.073070:0.762620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.617815:0.778332:0.625288:0.778332:0.625288:0.762897:0.617815:0.762897:0.000000
5:@0.630221:0.777778:0.645554:0.777778:0.645554:0.764062:0.630221:0.764062:0.000000
horizontal.:@0.073089:0.794974:0.149273:0.794974:0.149273:0.779261:0.073089:0.779261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En general, cuando     :@0.073089:0.821268:0.243816:0.821268:0.243816:0.805556:0.073089:0.805556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.216537:0.821268:0.223992:0.821268:0.223992:0.805833:0.216537:0.805833:0.000000
→:@0.227875:0.822794:0.239877:0.822794:0.239877:0.804086:0.227875:0.804086:0.000000
a:@0.243742:0.821268:0.253001:0.821268:0.253001:0.805833:0.243742:0.805833:0.000000
1:@0.252933:0.814878:0.261872:0.814878:0.261872:0.806882:0.252933:0.806882:0.000000
   :@0.261819:0.820711:0.280650:0.820711:0.280650:0.806995:0.261819:0.806995:0.000000:0.000000:0.000000
o    :@0.266329:0.821266:0.307837:0.821266:0.307837:0.805553:0.266329:0.805553:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.280558:0.821266:0.288012:0.821266:0.288012:0.805830:0.280558:0.805830:0.000000
→:@0.291896:0.822791:0.303898:0.822791:0.303898:0.804083:0.291896:0.804083:0.000000
a y  f x:@0.307763:0.821266:0.366350:0.821266:0.366350:0.805830:0.307763:0.805830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.316950:0.814878:0.325890:0.814878:0.325890:0.806882:0.316950:0.806882:0.000000
  :@0.325836:0.820711:0.334948:0.820711:0.334948:0.806995:0.325836:0.806995:0.000000:0.000000
  ( )   :@0.345513:0.821266:0.390961:0.821266:0.390961:0.805553:0.345513:0.805553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.375020:0.822791:0.387022:0.822791:0.387022:0.804083:0.375020:0.804083:0.000000
6`:@0.390887:0.820711:0.418406:0.820711:0.418406:0.806995:0.390887:0.806995:0.000000:0.000000
, entonces       es una asíntota vertical.:@0.418314:0.821266:0.708884:0.821266:0.708884:0.805553:0.418314:0.805553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.496729:0.821266:0.504184:0.821266:0.504184:0.805830:0.496729:0.805830:0.000000
5:@0.508068:0.820711:0.523401:0.820711:0.523401:0.806995:0.508068:0.806995:0.000000
a:@0.527267:0.821266:0.536525:0.821266:0.536525:0.805830:0.527267:0.805830:0.000000
Cuando     :@0.073086:0.847560:0.161993:0.847560:0.161993:0.831847:0.073086:0.831847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.134713:0.847560:0.142168:0.847560:0.142168:0.832124:0.134713:0.832124:0.000000
→:@0.146052:0.849085:0.158054:0.849085:0.158054:0.830377:0.146052:0.830377:0.000000
1`   :@0.161919:0.847005:0.208177:0.847005:0.208177:0.833289:0.161919:0.833289:0.000000:0.000000:0.000000:0.000000:0.000000
o    :@0.193856:0.847560:0.235364:0.847560:0.235364:0.831847:0.193856:0.831847:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.208085:0.847560:0.215540:0.847560:0.215540:0.832124:0.208085:0.832124:0.000000
→:@0.219424:0.849085:0.231425:0.849085:0.231425:0.830377:0.219424:0.830377:0.000000
2`  :@0.235291:0.847005:0.271829:0.847005:0.271829:0.833289:0.235291:0.833289:0.000000:0.000000:0.000000:0.000000
y  f x:@0.271737:0.847560:0.303232:0.847560:0.303232:0.832124:0.271737:0.832124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  ( )    , entonces      es una asíntota horizontal.:@0.282395:0.847560:0.647602:0.847560:0.647602:0.831847:0.282395:0.831847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.311902:0.849085:0.323903:0.849085:0.323903:0.830377:0.311902:0.830377:0.000000
b:@0.327769:0.847560:0.337028:0.847560:0.337028:0.832124:0.327769:0.832124:0.000000
y:@0.415369:0.847560:0.422842:0.847560:0.422842:0.832124:0.415369:0.832124:0.000000
5:@0.426726:0.847005:0.442059:0.847005:0.442059:0.833289:0.426726:0.833289:0.000000
b :@0.445925:0.847560:0.458423:0.847560:0.458423:0.832124:0.445925:0.832124:0.000000:0.000000
En la sección de límites de funciones se hará un manejo más preciso en la determinación de asíntotas horizontales y :@0.073086:0.873854:0.931254:0.873854:0.931254:0.858141:0.073086:0.858141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verticales. :@0.073086:0.890496:0.148184:0.890496:0.148184:0.874783:0.073086:0.874783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.073086:0.916790:0.148611:0.916790:0.148611:0.900120:0.073086:0.900120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: identifiquemos el dominio de la función. Determinemos las asíntotas si las hay y construyamos la gráfica de :@0.148501:0.916790:0.931668:0.916790:0.931668:0.901077:0.148501:0.901077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.073086:0.938660:0.089965:0.938660:0.089965:0.923225:0.073086:0.923225:0.000000:0.000000:0.000000
( )   :@0.077706:0.938660:0.117908:0.938660:0.117908:0.922947:0.077706:0.922947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.098635:0.938105:0.113969:0.938105:0.113969:0.924390:0.098635:0.924390:0.000000
5:@0.137265:0.930112:0.145432:0.930112:0.145432:0.915828:0.137265:0.915828:0.000000
x:@0.145432:0.930112:0.152209:0.930112:0.152209:0.916080:0.145432:0.916080:0.000000
2:@0.152209:0.929608:0.166148:0.929608:0.166148:0.917139:0.152209:0.917139:0.000000
1:@0.166148:0.930112:0.174314:0.930112:0.174314:0.915828:0.166148:0.915828:0.000000
4:@0.120448:0.946502:0.128614:0.946502:0.128614:0.932218:0.120448:0.932218:0.000000
x:@0.128614:0.946502:0.135391:0.946502:0.135391:0.932470:0.128614:0.932470:0.000000
2:@0.135386:0.940989:0.140147:0.940989:0.140147:0.932662:0.135386:0.932662:0.000000
2 1:@0.140147:0.945998:0.182969:0.945998:0.182969:0.933529:0.140147:0.933529:0.000000:0.000000:0.000000
4:@0.154086:0.946502:0.162252:0.946502:0.162252:0.932218:0.154086:0.932218:0.000000
x:@0.162252:0.946502:0.169030:0.946502:0.169030:0.932470:0.162252:0.932470:0.000000
1:@0.182969:0.946502:0.191135:0.946502:0.191135:0.932218:0.182969:0.932218:0.000000
 :@0.191135:0.946975:0.195349:0.946975:0.195349:0.930548:0.191135:0.930548:0.000000
.:@0.193657:0.938653:0.196860:0.938653:0.196860:0.922940:0.193657:0.922940:0.000000
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