﻿221:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
Ejemplo 1:@0.095800:0.132773:0.165306:0.132773:0.165306:0.117661:0.095800:0.117661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificar las relaciones que son funciones.:@0.095800:0.156812:0.412658:0.156812:0.412658:0.141142:0.095800:0.141142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.124289:0.177073:0.147251:0.177073:0.147251:0.159937:0.124289:0.159937:0.000000:0.000000:0.000000:0.000000
B :@0.152779:0.177073:0.166121:0.177073:0.166121:0.161403:0.152779:0.161403:0.000000:0.000000
 C  :@0.288169:0.177078:0.310780:0.177078:0.310780:0.161409:0.288169:0.161409:0.000000:0.000000:0.000000:0.000000
b) :@0.450959:0.177078:0.471340:0.177078:0.471340:0.159943:0.450959:0.159943:0.000000:0.000000:0.000000
M  :@0.479448:0.177078:0.501856:0.177078:0.501856:0.161409:0.479448:0.161409:0.000000:0.000000:0.000000
  T:@0.623907:0.177078:0.639773:0.177078:0.639773:0.161409:0.623907:0.161409:0.000000:0.000000:0.000000
 :@0.639773:0.177078:0.643496:0.177078:0.643496:0.159943:0.639773:0.159943:0.000000
 :@0.095808:0.298439:0.099843:0.298439:0.099843:0.282770:0.095808:0.282770:0.000000
Cuenca:@0.273717:0.218616:0.326836:0.218616:0.326836:0.204094:0.273717:0.204094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Quito:@0.280200:0.237875:0.320369:0.237875:0.320369:0.223353:0.280200:0.223353:0.000000:0.000000:0.000000:0.000000:0.000000
Guayaquil:@0.264325:0.257134:0.336245:0.257134:0.336245:0.242613:0.264325:0.242613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Loja:@0.285469:0.276394:0.315100:0.276394:0.315100:0.261872:0.285469:0.261872:0.000000:0.000000:0.000000:0.000000
b:@0.470197:0.232521:0.479931:0.232521:0.479931:0.217999:0.470197:0.217999:0.000000
c:@0.471223:0.262476:0.478887:0.262476:0.478887:0.247954:0.471223:0.247954:0.000000
a:@0.630272:0.217537:0.638518:0.217537:0.638518:0.203016:0.630272:0.203016:0.000000
e:@0.630101:0.247492:0.638672:0.247492:0.638672:0.232970:0.630101:0.232970:0.000000
i:@0.632376:0.277447:0.636380:0.277447:0.636380:0.262925:0.632376:0.262925:0.000000
c)   :@0.124292:0.319424:0.149556:0.319424:0.149556:0.302288:0.124292:0.302288:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.171343:0.320578:0.138523:0.320578:0.138523:0.303829:0.171343:0.303829:0.000000
:@0.217467:0.320578:0.184647:0.320578:0.184647:0.303829:0.217467:0.303829:0.000000
→:@0.195999:0.320384:0.134672:0.320384:0.134672:0.304811:0.195999:0.304811:0.000000
=:@0.275514:0.320384:0.214187:0.320384:0.214187:0.304811:0.275514:0.304811:0.000000
+:@0.185634:0.312437:0.191497:0.312437:0.191497:0.303412:0.185634:0.303412:0.000000
f :@0.154904:0.319706:0.162920:0.319706:0.162920:0.304313:0.154904:0.304313:0.000000:0.000000
          f x:@0.210186:0.319706:0.265819:0.319706:0.265819:0.304313:0.210186:0.304313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.317656:0.319706:0.325120:0.319706:0.325120:0.304313:0.317656:0.304313:0.000000
±:@0.290162:0.320813:0.301145:0.320813:0.301145:0.305420:0.290162:0.305420:0.000000
::@0.164854:0.319706:0.168061:0.319706:0.168061:0.304037:0.164854:0.304037:0.000000
/ ():@0.234529:0.319706:0.272767:0.319706:0.272767:0.304037:0.234529:0.304037:0.000000:0.000000:0.000000:0.000000
     :@0.339332:0.319424:0.357944:0.319424:0.357944:0.302288:0.339332:0.302288:0.000000:0.000000:0.000000:0.000000:0.000000
d)   :@0.124300:0.349186:0.152237:0.349186:0.152237:0.332051:0.124300:0.332051:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.171284:0.349894:0.147052:0.349894:0.147052:0.333146:0.171284:0.333146:0.000000
:@0.208821:0.349894:0.184589:0.349894:0.184589:0.333146:0.208821:0.333146:0.000000
→:@0.187356:0.349701:0.205544:0.349701:0.205544:0.334128:0.187356:0.334128:0.000000
=:@0.266872:0.349701:0.276988:0.349701:0.276988:0.334128:0.266872:0.334128:0.000000
f:@0.154850:0.349023:0.159549:0.349023:0.159549:0.332662:0.154850:0.332662:0.000000
f x:@0.235323:0.349023:0.257179:0.349023:0.257179:0.332662:0.235323:0.332662:0.000000:0.000000:0.000000
x:@0.281761:0.349023:0.289224:0.349023:0.289224:0.332662:0.281761:0.332662:0.000000
::@0.164792:0.349023:0.167999:0.349023:0.167999:0.333353:0.164792:0.333353:0.000000
/ ():@0.225880:0.349023:0.264117:0.349023:0.264117:0.333353:0.225880:0.333353:0.000000:0.000000:0.000000:0.000000
2:@0.290854:0.341362:0.296066:0.341362:0.296066:0.332281:0.290854:0.332281:0.000000
Solución:@0.095800:0.377370:0.156461:0.377370:0.156461:0.362257:0.095800:0.362257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124292:0.401408:0.143530:0.401408:0.143530:0.384273:0.124292:0.384273:0.000000:0.000000:0.000000
Es función porque a cada elemento de B le corresponde un elemento de C.:@0.152781:0.401408:0.694148:0.401408:0.694148:0.385739:0.152781:0.385739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.124292:0.425127:0.144673:0.425127:0.144673:0.407992:0.124292:0.407992:0.000000:0.000000:0.000000
No es función porque al elemento b del conjunto M le corresponden tres :@0.152781:0.425127:0.698162:0.425127:0.698162:0.409458:0.152781:0.409458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elementos de T al igual que al elemento c.:@0.152781:0.441724:0.461254:0.441724:0.461254:0.426054:0.152781:0.426054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.124292:0.465443:0.142111:0.465443:0.142111:0.448307:0.124292:0.448307:0.000000:0.000000:0.000000
No es función, pues al extraer la raíz cuadrada de un número real posi-:@0.152781:0.465443:0.694056:0.465443:0.694056:0.449773:0.152781:0.449773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tivo tenemos dos respuestas: una positiva y otra negativa. Es decir, a un :@0.152781:0.482039:0.698147:0.482039:0.698147:0.466369:0.152781:0.466369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento de :@0.152781:0.498636:0.250888:0.498636:0.250888:0.482966:0.152781:0.482966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.250888:0.499216:0.264193:0.499216:0.264193:0.481610:0.250888:0.481610:0.000000
+:@0.264196:0.492600:0.270599:0.492600:0.270599:0.483464:0.264196:0.483464:0.000000
 le corresponden dos imágenes en  .:@0.270599:0.498647:0.544968:0.498647:0.544968:0.482977:0.270599:0.482977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.528457:0.499228:0.541762:0.499228:0.541762:0.481622:0.528457:0.481622:0.000000
d) :@0.124302:0.522366:0.144793:0.522366:0.144793:0.505230:0.124302:0.505230:0.000000:0.000000:0.000000
Sí  es  función;  a  cada  número  real    le  corresponde  únicamente  un :@0.152791:0.522366:0.698174:0.522366:0.698174:0.506696:0.152791:0.506696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.430938:0.522947:0.444243:0.522947:0.444243:0.505341:0.430938:0.505341:0.000000
número real  .:@0.152791:0.538962:0.262546:0.538962:0.262546:0.523292:0.152791:0.523292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.246035:0.539543:0.259340:0.539543:0.259340:0.521937:0.246035:0.521937:0.000000
Dominio y rango de una función:@0.095800:0.568162:0.429797:0.568162:0.429797:0.546353:0.095800:0.546353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El dominio de una función   : X   Y es el conjunto formado por las primeras :@0.110323:0.610542:0.682241:0.610542:0.682241:0.594872:0.110323:0.594872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.313138:0.610542:0.317837:0.610542:0.317837:0.594180:0.313138:0.594180:0.000000
componentes de los pares ordenados que pertenecen a  . Se simboliza :@0.106982:0.627138:0.685569:0.627138:0.685569:0.611468:0.106982:0.611468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.567505:0.627138:0.572204:0.627138:0.572204:0.610777:0.567505:0.610777:0.000000
Domf:@0.106286:0.647272:0.154249:0.647272:0.158842:0.631603:0.110880:0.631603:0.000000:0.000000:0.000000:0.000000
x:@0.183088:0.647272:0.190993:0.647272:0.195587:0.631603:0.187681:0.631603:0.000000
x y:@0.211245:0.647272:0.242708:0.647272:0.247301:0.631603:0.215839:0.631603:0.000000:0.000000:0.000000
f:@0.273077:0.647272:0.277905:0.647272:0.282498:0.631603:0.277670:0.631603:0.000000
/( ,:@0.197448:0.647272:0.226158:0.647272:0.226158:0.631603:0.197448:0.631603:0.000000:0.000000:0.000000:0.000000
):@0.247461:0.647272:0.252344:0.647272:0.252344:0.631603:0.247461:0.631603:0.000000
{:@0.174990:0.651697:0.183835:0.651697:0.183835:0.629116:0.174990:0.629116:0.000000
}:@0.283621:0.651697:0.292466:0.651697:0.292466:0.629116:0.283621:0.629116:0.000000
=:@0.163106:0.647950:0.173222:0.647950:0.173222:0.632377:0.163106:0.632377:0.000000
∈:@0.255096:0.647950:0.268235:0.647950:0.268235:0.632377:0.255096:0.632377:0.000000
. Para que una relación sea función, a cada elemento :@0.291057:0.647540:0.685593:0.647540:0.685593:0.631870:0.291057:0.631870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del dominio le corresponde uno y solo un elemento del recorrido o rango. :@0.106965:0.664137:0.655640:0.664137:0.655640:0.648467:0.106965:0.648467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El rango o recorrido de una función   : X :@0.106965:0.687856:0.427696:0.687856:0.427696:0.672186:0.106965:0.672186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.391762:0.687856:0.396461:0.687856:0.396461:0.671494:0.391762:0.671494:0.000000
 Y es el conjunto formado por :@0.447255:0.687862:0.685601:0.687862:0.685601:0.672192:0.447255:0.672192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las  segundas  componentes  de  los  pares  ordenados  que  pertenecen  a  .  Se :@0.106970:0.704458:0.685605:0.704458:0.685605:0.688788:0.106970:0.688788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.649222:0.704458:0.653921:0.704458:0.653921:0.688097:0.649222:0.688097:0.000000
simboliza :@0.106970:0.723572:0.180349:0.723572:0.180349:0.707902:0.106970:0.707902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ranf:@0.181845:0.723319:0.220238:0.723319:0.224831:0.707649:0.186438:0.707649:0.000000:0.000000:0.000000:0.000000
xy:@0.272314:0.723319:0.303770:0.723319:0.308364:0.707649:0.276908:0.707649:0.000000:0.000000
f:@0.336756:0.723319:0.341584:0.723319:0.346177:0.707649:0.341349:0.707649:0.000000
y/(,:@0.250444:0.723319:0.287207:0.723319:0.287207:0.707649:0.250444:0.707649:0.000000:0.000000:0.000000:0.000000
):@0.308510:0.723319:0.313393:0.723319:0.313393:0.707649:0.308510:0.707649:0.000000
{:@0.240967:0.727743:0.249813:0.727743:0.249813:0.705163:0.240967:0.705163:0.000000
}:@0.347295:0.727743:0.356140:0.727743:0.356140:0.705163:0.347295:0.705163:0.000000
=:@0.229085:0.723997:0.239202:0.723997:0.239202:0.708424:0.229085:0.708424:0.000000
∈:@0.316137:0.723997:0.329276:0.723997:0.329276:0.708424:0.316137:0.708424:0.000000
. El rango está contenido en el conjunto de :@0.356602:0.723565:0.685665:0.723565:0.685665:0.707896:0.356602:0.707896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llegada o codominio.:@0.106982:0.740162:0.261588:0.740162:0.261588:0.724492:0.106982:0.724492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.095800:0.782227:0.165306:0.782227:0.165306:0.767115:0.095800:0.767115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinar el dominio y el rango de la función  ::@0.095800:0.806381:0.458673:0.806401:0.458673:0.790732:0.095800:0.790712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.461935:0.807273:0.411314:0.807273:0.411314:0.790524:0.461935:0.790524:0.000000
:@0.525860:0.807273:0.475240:0.807273:0.475240:0.790524:0.525860:0.790524:0.000000
<→:@0.478796:0.807079:0.522580:0.807079:0.522580:0.791506:0.478796:0.791506:0.000000:0.000000
=+:@0.583926:0.807079:0.620265:0.807079:0.620265:0.791506:0.583926:0.791506:0.000000:0.000000
f:@0.445516:0.806401:0.450215:0.806401:0.450215:0.790040:0.445516:0.790040:0.000000
f x:@0.552359:0.806401:0.574233:0.806401:0.574233:0.790040:0.552359:0.790040:0.000000:0.000000:0.000000
x:@0.598815:0.806401:0.606278:0.806401:0.606278:0.790040:0.598815:0.790040:0.000000
4:@0.492580:0.806401:0.501573:0.806401:0.501573:0.790732:0.492580:0.790732:0.000000
/( ):@0.542943:0.806401:0.581180:0.806401:0.581180:0.790732:0.542943:0.790732:0.000000:0.000000:0.000000:0.000000
1.:@0.621887:0.806401:0.631896:0.806381:0.631896:0.790712:0.621887:0.790732:0.000000:0.000000
Solución:@0.095800:0.832263:0.156461:0.832263:0.156461:0.817150:0.095800:0.817150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estructuramos la función :@0.095800:0.860895:0.282268:0.860895:0.282268:0.845226:0.095800:0.845226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.308598:0.865950:0.317444:0.865950:0.317444:0.837607:0.308598:0.837607:0.000000
}:@0.519411:0.865950:0.528256:0.865950:0.528256:0.837607:0.519411:0.837607:0.000000
( ) ( ) (:@0.316923:0.864258:0.426659:0.864258:0.426659:0.839030:0.316923:0.839030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) (:@0.457231:0.864258:0.481739:0.864258:0.481739:0.839030:0.457231:0.839030:0.000000:0.000000:0.000000
):@0.513767:0.864258:0.519903:0.864258:0.519903:0.839030:0.513767:0.839030:0.000000
=:@0.295615:0.860122:0.305732:0.860122:0.305732:0.844549:0.295615:0.844549:0.000000
f:@0.284890:0.859444:0.289589:0.859444:0.289589:0.843083:0.284890:0.843083:0.000000
0, 1; 1, 2; 2, 3; 3, 4 .:@0.323791:0.859444:0.531213:0.860897:0.531213:0.845227:0.323791:0.843775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formamos el dominio con las primeras componentes :@0.095786:0.887810:0.492176:0.887810:0.492176:0.872141:0.095786:0.872141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Domf:@0.494329:0.888005:0.544913:0.888005:0.549506:0.872336:0.498922:0.872336:0.000000:0.000000:0.000000:0.000000
0, 1, 2, 3 .:@0.574392:0.888005:0.653736:0.887812:0.653736:0.872142:0.574392:0.872336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.565651:0.892430:0.574496:0.892430:0.574496:0.869849:0.565651:0.869849:0.000000
}:@0.642512:0.892430:0.651357:0.892430:0.651357:0.869849:0.642512:0.869849:0.000000
=:@0.553766:0.888683:0.563883:0.888683:0.563883:0.873110:0.553766:0.873110:0.000000
El rango se estructura con las segundas componentes: :@0.095803:0.914186:0.498513:0.914186:0.498513:0.898516:0.095803:0.898516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ranf:@0.499329:0.913744:0.537714:0.913744:0.542308:0.898074:0.503923:0.898074:0.000000:0.000000:0.000000:0.000000
1, 2, 3, 4 .:@0.566043:0.913744:0.647607:0.914186:0.647607:0.898517:0.566043:0.898074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.558452:0.918168:0.567297:0.918168:0.567297:0.895587:0.558452:0.895587:0.000000
}:@0.634945:0.918168:0.643790:0.918168:0.643790:0.895587:0.634945:0.895587:0.000000
=:@0.546568:0.914421:0.556685:0.914421:0.556685:0.898849:0.546568:0.898849:0.000000
Para determinar el :@0.733784:0.115663:0.858772:0.115663:0.858772:0.101418:0.733784:0.101418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dominio de una función :@0.733784:0.130751:0.898544:0.130751:0.898544:0.116505:0.733784:0.116505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definida por una :@0.733784:0.145838:0.847918:0.145838:0.847918:0.131593:0.733784:0.131593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fórmula, observamos las :@0.733784:0.160926:0.898559:0.160926:0.898559:0.146681:0.733784:0.146681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes restricciones::@0.733784:0.176013:0.891758:0.176013:0.891758:0.161768:0.733784:0.161768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.733784:0.198230:0.750185:0.198230:0.750185:0.182866:0.733784:0.182866:0.000000:0.000000:0.000000
  La división por cero :@0.757522:0.198230:0.891006:0.198230:0.891006:0.183985:0.757522:0.183985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no está definida. Es :@0.757522:0.213317:0.888761:0.213317:0.888761:0.199072:0.757522:0.199072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decir, si   está en :@0.757522:0.228405:0.871975:0.228405:0.871975:0.214160:0.757522:0.214160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.809924:0.228405:0.816709:0.228405:0.816709:0.213531:0.809924:0.213531:0.000000
el denominador, :@0.757522:0.243493:0.870599:0.243493:0.870599:0.229247:0.757522:0.229247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
excluiremos :@0.757522:0.258580:0.841502:0.258580:0.841502:0.244335:0.757522:0.244335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los valores que :@0.757522:0.273668:0.860114:0.273668:0.860114:0.259423:0.757522:0.259423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convierten en cero a :@0.757522:0.288756:0.898124:0.288756:0.898124:0.274510:0.757522:0.274510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ese denominador.  :@0.757522:0.303843:0.885090:0.303843:0.885090:0.289598:0.757522:0.289598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En :@0.757522:0.326437:0.777977:0.326437:0.777977:0.312192:0.757522:0.312192:0.000000:0.000000:0.000000
=:@0.792352:0.327303:0.801457:0.327303:0.801457:0.313288:0.792352:0.313288:0.000000
−:@0.825192:0.336746:0.834297:0.336746:0.834297:0.322730:0.825192:0.322730:0.000000
y:@0.781658:0.326693:0.788391:0.326693:0.788391:0.311968:0.781658:0.311968:0.000000
x:@0.814968:0.336136:0.821685:0.336136:0.821685:0.321411:0.814968:0.321411:0.000000
1:@0.821753:0.318632:0.829846:0.318632:0.829846:0.304529:0.821753:0.304529:0.000000
2:@0.805734:0.336136:0.813828:0.336136:0.813828:0.322033:0.805734:0.322033:0.000000
3:@0.836781:0.336136:0.844874:0.336136:0.844874:0.322033:0.836781:0.322033:0.000000
;:@0.848845:0.326432:0.851760:0.326432:0.851760:0.312187:0.848845:0.312187:0.000000
             :@0.733789:0.391598:0.781483:0.391598:0.781483:0.377352:0.733789:0.377352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−≠:@0.803292:0.353390:0.834305:0.353390:0.834305:0.339374:0.803292:0.339374:0.000000:0.000000
≠:@0.795845:0.380126:0.804950:0.380126:0.804950:0.366111:0.795845:0.366111:0.000000
x:@0.793068:0.352780:0.799785:0.352780:0.799785:0.338055:0.793068:0.338055:0.000000
x:@0.785152:0.379514:0.791869:0.379514:0.791869:0.364789:0.785152:0.364789:0.000000
2:@0.783832:0.352780:0.791926:0.352780:0.791926:0.338677:0.783832:0.338677:0.000000
3 0:@0.814879:0.352780:0.845362:0.352780:0.845362:0.338677:0.814879:0.338677:0.000000:0.000000:0.000000
3:@0.809416:0.371451:0.817510:0.371451:0.817510:0.357348:0.809416:0.357348:0.000000
2:@0.809229:0.388955:0.817322:0.388955:0.817322:0.374852:0.809229:0.374852:0.000000
2. :@0.733784:0.410255:0.750185:0.410255:0.750185:0.394891:0.733784:0.394891:0.000000:0.000000:0.000000
  Las cantidades :@0.757522:0.410255:0.859159:0.410255:0.859159:0.396010:0.757522:0.396010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
subradicales de :@0.757522:0.425342:0.864654:0.425342:0.864654:0.411097:0.757522:0.411097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales con índice :@0.757522:0.440430:0.892748:0.440430:0.892748:0.426185:0.757522:0.426185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
par deben ser :@0.757522:0.455518:0.853229:0.455518:0.853229:0.441272:0.757522:0.441272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayores o iguales :@0.757522:0.470605:0.881004:0.470605:0.881004:0.456360:0.757522:0.456360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a cero, ya que no :@0.757522:0.485693:0.874320:0.485693:0.874320:0.471448:0.757522:0.471448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podemos extraer :@0.757522:0.500780:0.875458:0.500780:0.875458:0.486535:0.757522:0.486535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la raíz de índice par :@0.757522:0.515868:0.889548:0.515868:0.889548:0.501623:0.757522:0.501623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una cantidad :@0.757522:0.530956:0.869814:0.530956:0.869814:0.516710:0.757522:0.516710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativa.:@0.757522:0.546043:0.818116:0.546043:0.818116:0.531798:0.757522:0.531798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En :@0.757522:0.566097:0.777977:0.566097:0.777977:0.551852:0.757522:0.551852:0.000000:0.000000:0.000000
=:@0.792352:0.567411:0.801457:0.567411:0.801457:0.553396:0.792352:0.553396:0.000000
+:@0.834760:0.567411:0.843865:0.567411:0.843865:0.553396:0.834760:0.553396:0.000000
y:@0.781655:0.566801:0.788389:0.566801:0.788389:0.552076:0.781655:0.552076:0.000000
x:@0.824527:0.566801:0.831244:0.566801:0.831244:0.552076:0.824527:0.552076:0.000000
3:@0.815671:0.566801:0.823764:0.566801:0.823764:0.552699:0.815671:0.552699:0.000000
1:@0.845308:0.566801:0.853401:0.566801:0.853401:0.552699:0.845308:0.552699:0.000000
;:@0.854876:0.566091:0.857791:0.566091:0.857791:0.551846:0.854876:0.551846:0.000000
      :@0.748029:0.625524:0.770042:0.625524:0.770042:0.611278:0.748029:0.611278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+≥:@0.791480:0.587311:0.819392:0.587311:0.819392:0.573295:0.791480:0.573295:0.000000:0.000000
≥−:@0.784414:0.614047:0.805577:0.614047:0.805577:0.600032:0.784414:0.600032:0.000000:0.000000
x:@0.781256:0.586701:0.787972:0.586701:0.787972:0.571976:0.781256:0.571976:0.000000
x:@0.773717:0.613433:0.780434:0.613433:0.780434:0.598708:0.773717:0.598708:0.000000
3:@0.772399:0.586701:0.780492:0.586701:0.780492:0.572598:0.772399:0.572598:0.000000
1 0:@0.802036:0.586701:0.830097:0.586701:0.830097:0.572598:0.802036:0.572598:0.000000:0.000000:0.000000
1:@0.808961:0.605372:0.817054:0.605372:0.817054:0.591269:0.808961:0.591269:0.000000
3:@0.808441:0.622876:0.816535:0.622876:0.816535:0.608773:0.808441:0.608773:0.000000
Estas restricciones :@0.733784:0.647739:0.857784:0.647739:0.857784:0.633494:0.733784:0.633494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también se consideran :@0.733784:0.662826:0.889397:0.662826:0.889397:0.648581:0.733784:0.648581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al determinar el :@0.733784:0.677914:0.841869:0.677914:0.841869:0.663669:0.733784:0.663669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recorrido.:@0.733784:0.693002:0.797309:0.693002:0.797309:0.678756:0.733784:0.678756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.763836:0.090636:0.885918:0.090636:0.885918:0.073736:0.763836:0.073736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.110313:0.195236:0.119393:0.195236:0.119393:0.180123:0.110313:0.180123:0.000000
C:@0.345165:0.195236:0.354881:0.195236:0.354881:0.180123:0.345165:0.180123:0.000000
M:@0.428843:0.195236:0.442312:0.195236:0.442312:0.180123:0.428843:0.180123:0.000000
T:@0.679626:0.195236:0.687952:0.195236:0.687952:0.180123:0.679626:0.180123:0.000000
El sistema de numeración :@0.732000:0.788552:0.895370:0.788552:0.895370:0.774306:0.732000:0.774306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
secoya, en su proceso :@0.732000:0.803639:0.881162:0.803639:0.881162:0.789394:0.732000:0.789394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
oral, utiliza los dedos de :@0.732000:0.818727:0.894532:0.818727:0.894532:0.804482:0.732000:0.804482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las manos y de los pies. :@0.732000:0.833814:0.890056:0.833814:0.890056:0.819569:0.732000:0.819569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para contar los números :@0.732000:0.848902:0.896172:0.848902:0.896172:0.834657:0.732000:0.834657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del 1 al 5, comienzan :@0.732000:0.863990:0.875602:0.863990:0.875602:0.849744:0.732000:0.849744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el dedo meñique :@0.732000:0.879077:0.877143:0.879077:0.877143:0.864832:0.732000:0.864832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la mano izquierda :@0.732000:0.894165:0.875483:0.894165:0.875483:0.879920:0.732000:0.879920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con la palma arriba.:@0.732000:0.909252:0.862248:0.909252:0.862248:0.895007:0.732000:0.895007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.762335:0.762792:0.892059:0.762792:0.892059:0.744491:0.762335:0.744491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000