23:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.327194:0.110585:0.327194:0.110585:0.310293:0.096359:0.310293:0.000000:0.000000
  Indicamos si la función del problema anterior es inyectiva o sobreyectiva.:@0.110585:0.327194:0.659297:0.327194:0.659297:0.310805:0.110585:0.310805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.096359:0.467502:0.110585:0.467502:0.110585:0.450602:0.096359:0.450602:0.000000:0.000000
  Sean   = { ,  ,  ,  },   = {0, 1, 2, 3}, determinamos si la función de   en  ,:@0.110585:0.467502:0.652833:0.467502:0.652833:0.451113:0.110585:0.451113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.164707:0.467502:0.174603:0.467502:0.174603:0.451141:0.164707:0.451141:0.000000
m n o p B:@0.198540:0.467502:0.283860:0.467502:0.283860:0.451141:0.198540:0.451141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.604000:0.467502:0.613895:0.467502:0.613895:0.451141:0.604000:0.451141:0.000000
B:@0.640781:0.467502:0.649627:0.467502:0.649627:0.451141:0.640781:0.451141:0.000000
 :@0.096359:0.498358:0.100395:0.498358:0.100395:0.481969:0.096359:0.481969:0.000000
g:@0.124848:0.498358:0.134117:0.498358:0.134117:0.481996:0.124848:0.481996:0.000000
 ={( , 1); ( , 3); ( , 2); ( , 0)} es biyectiva.:@0.134117:0.498358:0.419946:0.498358:0.419946:0.481969:0.134117:0.481969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.158902:0.498358:0.173534:0.498358:0.173534:0.481996:0.158902:0.481996:0.000000
n:@0.206777:0.498358:0.216286:0.498358:0.216286:0.481996:0.206777:0.481996:0.000000
o:@0.249529:0.498358:0.258743:0.498358:0.258743:0.481996:0.249529:0.481996:0.000000
p:@0.291987:0.498358:0.301256:0.498358:0.301256:0.481996:0.291987:0.481996:0.000000
4.:@0.096359:0.654225:0.110585:0.654225:0.110585:0.637325:0.096359:0.637325:0.000000:0.000000
  A partir de la gráfica determinemos qué tipo de función es.:@0.110585:0.654225:0.556663:0.654225:0.556663:0.637836:0.110585:0.637836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.681512:0.100395:0.681512:0.100395:0.665124:0.096359:0.665124:0.000000
Si al trazar una línea horizontal sobre la gráfica, esta la interseca en un solo punto, :@0.124848:0.681512:0.716596:0.681512:0.716596:0.665124:0.124848:0.665124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función es inyectiva. En cambio, si la corta en al menos un punto, es sobreyectiva.:@0.124848:0.698109:0.712485:0.698109:0.712485:0.681720:0.124848:0.681720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.725396:0.100395:0.725396:0.100395:0.709007:0.096359:0.709007:0.000000
Determinemos qué tipos de funciones corresponden a las siguientes gráficas.:@0.124848:0.725396:0.692360:0.725396:0.692360:0.709007:0.124848:0.709007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102121:0.097599:0.157756:0.097599:0.157756:0.082021:0.102121:0.082021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinemos los conjuntos de partida y llegada::@0.157756:0.097599:0.489884:0.097599:0.489884:0.082700:0.157756:0.082700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto de partida   está compuesto por los 500 empleados de la empresa, en tanto :@0.102121:0.119816:0.691930:0.119816:0.691930:0.104917:0.102121:0.104917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.253779:0.119816:0.261167:0.119816:0.261167:0.104942:0.253779:0.104942:0.000000
que el conjunto de llegada  , es el conjunto que contiene todas las claves de cuatro :@0.102121:0.134903:0.664240:0.134903:0.664240:0.120004:0.102121:0.120004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.284955:0.134903:0.293968:0.134903:0.293968:0.120029:0.284955:0.120029:0.000000
dígitos (10 000 números distintos).:@0.102121:0.149991:0.331190:0.149991:0.331190:0.135092:0.102121:0.135092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.173817:0.154372:0.173817:0.154372:0.158239:0.102121:0.158239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Hallemos el dominio y recorrido de la función y respondamos la pregunta a)::@0.154372:0.173817:0.667707:0.173817:0.667707:0.158918:0.154372:0.158918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El dominio de   es el conjunto de todos los empleados, pues a cada uno se le asigna una :@0.102121:0.196033:0.692886:0.196033:0.692886:0.181134:0.102121:0.181134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.198314:0.196033:0.202585:0.196033:0.202585:0.181159:0.198314:0.181159:0.000000
clave.:@0.102121:0.211121:0.138977:0.211121:0.138977:0.196222:0.102121:0.196222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El recorrido de   es el conjunto formado por 500 números distintos tomados del conjunto :@0.102121:0.233337:0.700406:0.233337:0.700406:0.218438:0.102121:0.218438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.202584:0.233337:0.206856:0.233337:0.206856:0.218464:0.202584:0.218464:0.000000
de todas las claves posibles. :@0.102121:0.248425:0.290231:0.248425:0.290231:0.233526:0.102121:0.233526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para responder la pregunta b), Rec ( ) está incluido en el conjunto de llegada, pero no es :@0.102121:0.270642:0.693756:0.270642:0.693756:0.255743:0.102121:0.255743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f :@0.338880:0.270642:0.346167:0.270642:0.346167:0.255768:0.338880:0.255768:0.000000:0.000000
igual a este, pues solo contiene 500 de los 10 000 números.:@0.102121:0.285729:0.496198:0.285729:0.496198:0.270830:0.102121:0.270830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102121:0.353533:0.157756:0.353533:0.157756:0.337955:0.102121:0.337955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos el dominio de la función, puesto que a cada empleado le ha sido :@0.157756:0.353533:0.672988:0.353533:0.672988:0.338634:0.157756:0.338634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asignada una clave distinta; entonces, la función es inyectiva.:@0.102121:0.368621:0.506335:0.368621:0.506335:0.353722:0.102121:0.353722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.393892:0.154372:0.393892:0.154372:0.378314:0.102121:0.378314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para determinar si la función es sobreyectiva, analizamos el conjunto de partida :@0.154372:0.393892:0.689769:0.393892:0.689769:0.378993:0.154372:0.378993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y el recorrido. Puesto que han sido asignadas 500 claves, quedan 9500 sin asignar, o sea :@0.102121:0.408980:0.685833:0.408980:0.685833:0.394081:0.102121:0.394081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el recorrido de   no es igual al conjunto de llegada; entonces, la función   =  ( ) no es :@0.102121:0.424068:0.700142:0.424068:0.700142:0.409168:0.102121:0.409168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.232721:0.424068:0.236993:0.424068:0.236993:0.409194:0.232721:0.409194:0.000000
C:@0.609997:0.424068:0.619010:0.424068:0.619010:0.409194:0.609997:0.409194:0.000000
f E:@0.636332:0.424068:0.652431:0.424068:0.652431:0.409194:0.636332:0.409194:0.000000:0.000000:0.000000
sobreyectiva.:@0.102121:0.439155:0.189282:0.439155:0.189282:0.424256:0.102121:0.424256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.524750:0.154372:0.524750:0.154372:0.509172:0.102121:0.509172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Verificamos si la función es inyectiva.  Observamos que a cada elemento del :@0.154372:0.524750:0.665781:0.524750:0.665781:0.509851:0.154372:0.509851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dominio le corresponden imágenes diferentes, por lo que la función es inyectiva.:@0.102121:0.539837:0.639496:0.539837:0.639496:0.524938:0.102121:0.524938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.565109:0.154372:0.565109:0.154372:0.549531:0.102121:0.549531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Comprobamos que la función es sobreyectiva. Hallamos el recorrido de la función :@0.154372:0.565109:0.706573:0.565109:0.706573:0.550210:0.154372:0.550210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y comprobamos si es igual al conjunto de llegada. :@0.102121:0.580197:0.438841:0.580197:0.438841:0.565298:0.102121:0.565298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rec( ) = {0, 1, 2, 3} = :@0.102121:0.602413:0.239541:0.602413:0.239541:0.587514:0.102121:0.587514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.130701:0.602413:0.139127:0.602413:0.139127:0.587539:0.130701:0.587539:0.000000
B:@0.239541:0.602413:0.247582:0.602413:0.247582:0.587539:0.239541:0.587539:0.000000
Finalmente, la función sí es biyectiva, al ser inyectiva y sobreyectiva.:@0.102121:0.624630:0.549620:0.624630:0.549620:0.609731:0.102121:0.609731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.841363:0.154372:0.841363:0.154372:0.825785:0.102121:0.825785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Trazamos una recta horizontal en cada gráfica.:@0.154372:0.841363:0.464874:0.841363:0.464874:0.826464:0.154372:0.826464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.862561:0.154372:0.862561:0.154372:0.846983:0.102121:0.846983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Verificamos si corta a la gráfica en un solo punto (inyectiva) o en al menos un :@0.154372:0.862561:0.673589:0.862561:0.673589:0.847662:0.154372:0.847662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto (sobreyectiva).:@0.102121:0.877649:0.242940:0.877649:0.242940:0.862750:0.102121:0.862750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3.:@0.102121:0.897477:0.154372:0.897477:0.154372:0.881899:0.102121:0.881899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 La función a) es inyectiva; la función b) es sobreyectiva; la función c) no es :@0.154372:0.897477:0.651811:0.897477:0.651811:0.882578:0.154372:0.882578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inyectiva; y la función d) no es sobreyectiva.:@0.102121:0.912564:0.392553:0.912564:0.392553:0.897665:0.102121:0.897665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.125801:0.745782:0.140709:0.745782:0.140709:0.728881:0.125801:0.728881:0.000000:0.000000
–1:@0.189008:0.794354:0.197963:0.794354:0.197963:0.786380:0.189008:0.786380:0.000000:0.000000
–2:@0.189008:0.806097:0.197963:0.806097:0.197963:0.798122:0.189008:0.798122:0.000000:0.000000
1:@0.192827:0.771260:0.197361:0.771260:0.197361:0.763286:0.192827:0.763286:0.000000
2:@0.192827:0.759299:0.197361:0.759299:0.197361:0.751324:0.192827:0.751324:0.000000
3:@0.192827:0.747609:0.197361:0.747609:0.197361:0.739635:0.192827:0.739635:0.000000
–4 –2 0:@0.164443:0.787640:0.197529:0.787640:0.197529:0.779666:0.164443:0.779666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.213485:0.787640:0.218020:0.787640:0.218020:0.779666:0.213485:0.779666:0.000000
4:@0.229166:0.787640:0.233701:0.787640:0.233701:0.779666:0.229166:0.779666:0.000000
y:@0.193119:0.737805:0.196530:0.737805:0.196530:0.731286:0.193119:0.731286:0.000000
x:@0.241239:0.786580:0.244650:0.786580:0.244650:0.780061:0.241239:0.780061:0.000000
b):@0.276201:0.745782:0.292417:0.745782:0.292417:0.728881:0.276201:0.728881:0.000000:0.000000
–1:@0.351015:0.783937:0.357279:0.783937:0.357279:0.778359:0.351015:0.778359:0.000000:0.000000
–2:@0.351015:0.792150:0.357279:0.792150:0.357279:0.786572:0.351015:0.786572:0.000000:0.000000
–3:@0.351015:0.800391:0.357279:0.800391:0.357279:0.794813:0.351015:0.794813:0.000000:0.000000
–4:@0.351015:0.808604:0.357279:0.808604:0.357279:0.803027:0.351015:0.803027:0.000000:0.000000
1:@0.353686:0.767784:0.356858:0.767784:0.356858:0.762207:0.353686:0.762207:0.000000
2:@0.353686:0.759418:0.356858:0.759418:0.356858:0.753840:0.353686:0.753840:0.000000
3:@0.353686:0.751242:0.356858:0.751242:0.356858:0.745664:0.353686:0.745664:0.000000
4:@0.353686:0.743159:0.356858:0.743159:0.356858:0.737581:0.353686:0.737581:0.000000
–4 –2 0:@0.333834:0.779241:0.356975:0.779241:0.356975:0.773663:0.333834:0.773663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–6:@0.322674:0.779241:0.328937:0.779241:0.328937:0.773663:0.322674:0.773663:0.000000:0.000000
–8:@0.312188:0.779241:0.318452:0.779241:0.318452:0.773663:0.312188:0.773663:0.000000:0.000000
2:@0.368135:0.779241:0.371307:0.779241:0.371307:0.773663:0.368135:0.773663:0.000000
4:@0.379103:0.779241:0.382275:0.779241:0.382275:0.773663:0.379103:0.773663:0.000000
6:@0.391067:0.779241:0.394238:0.779241:0.394238:0.773663:0.391067:0.773663:0.000000
y:@0.353892:0.735533:0.356278:0.735533:0.356278:0.730973:0.353892:0.730973:0.000000
x:@0.398916:0.778500:0.401301:0.778500:0.401301:0.773940:0.398916:0.773940:0.000000
c):@0.431338:0.745782:0.445159:0.745782:0.445159:0.728881:0.431338:0.728881:0.000000:0.000000
–1:@0.505801:0.800493:0.512065:0.800493:0.512065:0.794915:0.505801:0.794915:0.000000:0.000000
–2:@0.505801:0.808707:0.512065:0.808707:0.512065:0.803129:0.505801:0.803129:0.000000:0.000000
1:@0.508472:0.784339:0.511644:0.784339:0.511644:0.778761:0.508472:0.778761:0.000000
2:@0.508472:0.775972:0.511644:0.775972:0.511644:0.770393:0.508472:0.770393:0.000000
3:@0.508472:0.767795:0.511644:0.767795:0.511644:0.762217:0.508472:0.762217:0.000000
4:@0.508472:0.759711:0.511644:0.759711:0.511644:0.754133:0.508472:0.754133:0.000000
5:@0.508472:0.751371:0.511644:0.751371:0.511644:0.745793:0.508472:0.745793:0.000000
6:@0.508472:0.743287:0.511644:0.743287:0.511644:0.737709:0.508472:0.737709:0.000000
–4 –2 0:@0.488618:0.795801:0.511762:0.795801:0.511762:0.790223:0.488618:0.790223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–6:@0.477457:0.795801:0.483720:0.795801:0.483720:0.790223:0.477457:0.790223:0.000000:0.000000
–8:@0.466970:0.795801:0.473233:0.795801:0.473233:0.790223:0.466970:0.790223:0.000000:0.000000
2:@0.522923:0.795801:0.526095:0.795801:0.526095:0.790223:0.522923:0.790223:0.000000
4:@0.533892:0.795801:0.537064:0.795801:0.537064:0.790223:0.533892:0.790223:0.000000
6:@0.545856:0.795801:0.549028:0.795801:0.549028:0.790223:0.545856:0.790223:0.000000
y:@0.508677:0.735532:0.511063:0.735532:0.511063:0.730972:0.508677:0.730972:0.000000
x:@0.553706:0.795056:0.556092:0.795056:0.556092:0.790496:0.553706:0.790496:0.000000
d):@0.586129:0.745782:0.602382:0.745782:0.602382:0.728881:0.586129:0.728881:0.000000:0.000000
–1:@0.638726:0.800493:0.644990:0.800493:0.644990:0.794915:0.638726:0.794915:0.000000:0.000000
–2:@0.638726:0.808707:0.644990:0.808707:0.644990:0.803129:0.638726:0.803129:0.000000:0.000000
1:@0.641397:0.784339:0.644569:0.784339:0.644569:0.778761:0.641397:0.778761:0.000000
2:@0.641397:0.775972:0.644569:0.775972:0.644569:0.770393:0.641397:0.770393:0.000000
3:@0.641397:0.767795:0.644569:0.767795:0.644569:0.762217:0.641397:0.762217:0.000000
4:@0.641397:0.759711:0.644569:0.759711:0.644569:0.754133:0.641397:0.754133:0.000000
5:@0.641397:0.751371:0.644569:0.751371:0.644569:0.745793:0.641397:0.745793:0.000000
6:@0.641397:0.743287:0.644569:0.743287:0.644569:0.737709:0.641397:0.737709:0.000000
–4 –2 0:@0.621543:0.795801:0.644681:0.795801:0.644681:0.790223:0.621543:0.790223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.655848:0.795801:0.659020:0.795801:0.659020:0.790223:0.655848:0.790223:0.000000
4:@0.666817:0.795801:0.669989:0.795801:0.669989:0.790223:0.666817:0.790223:0.000000
6:@0.678782:0.795801:0.681954:0.795801:0.681954:0.790223:0.678782:0.790223:0.000000
8:@0.688867:0.795801:0.692039:0.795801:0.692039:0.790223:0.688867:0.790223:0.000000
10:@0.698438:0.795801:0.704783:0.795801:0.704783:0.790223:0.698438:0.790223:0.000000:0.000000
y:@0.641603:0.735532:0.643989:0.735532:0.643989:0.730972:0.641603:0.730972:0.000000
x:@0.709454:0.795056:0.711840:0.795056:0.711840:0.790496:0.709454:0.790496:0.000000
Las funciones :@0.755112:0.131225:0.849311:0.131225:0.849311:0.116325:0.755112:0.116325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas son :@0.755112:0.146312:0.872446:0.146312:0.872446:0.131413:0.755112:0.131413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esenciales en la :@0.755112:0.161400:0.862361:0.161400:0.862361:0.146501:0.755112:0.146501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
generación de claves, :@0.755112:0.176487:0.902196:0.176487:0.902196:0.161588:0.755112:0.161588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especialmente en :@0.755112:0.191575:0.877453:0.191575:0.877453:0.176676:0.755112:0.176676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
criptografía y algoritmos :@0.755112:0.206663:0.921579:0.206663:0.921579:0.191764:0.755112:0.191764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de seguridad. Su :@0.755112:0.221750:0.869529:0.221750:0.869529:0.206851:0.755112:0.206851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicación garantiza la :@0.755112:0.236838:0.906403:0.236838:0.906403:0.221939:0.755112:0.221939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatoriedad, complejidad :@0.755112:0.251925:0.932518:0.251925:0.932518:0.237026:0.755112:0.237026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y evita vulnerabilidades y :@0.755112:0.267013:0.926254:0.267013:0.926254:0.252114:0.755112:0.252114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asegura la integridad de :@0.755112:0.282101:0.919769:0.282101:0.919769:0.267202:0.755112:0.267202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistemas críticos.:@0.755112:0.297188:0.865626:0.297188:0.865626:0.282289:0.755112:0.282289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo puedes diseñar una :@0.755112:0.387661:0.929471:0.387661:0.929471:0.372787:0.755112:0.372787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contraseña segura?:@0.755112:0.402749:0.878274:0.402749:0.878274:0.387875:0.755112:0.387875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.761717:0.098784:0.897778:0.098784:0.897778:0.081883:0.761717:0.081883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.945851:0.357094:0.945851:0.314268:0.933940:0.314268:0.933940:0.357094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa al link :@0.754996:0.544827:0.848759:0.544827:0.848759:0.529928:0.754996:0.529928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/12mtc01:@0.754996:0.559915:0.865410:0.559915:0.865410:0.544790:0.754996:0.544790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconoce funciones a partir :@0.754996:0.578561:0.933709:0.578561:0.933709:0.563687:0.754996:0.563687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de sus gráficas.:@0.754996:0.593648:0.849445:0.593648:0.849445:0.578775:0.754996:0.578775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806769:0.512385:0.857240:0.512385:0.857240:0.495485:0.806769:0.495485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es importante que :@0.754577:0.719589:0.881458:0.719589:0.881458:0.704690:0.754577:0.704690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realices todos los :@0.754577:0.734676:0.871943:0.734676:0.871943:0.719777:0.754577:0.719777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicios que te :@0.754577:0.749764:0.866582:0.749764:0.866582:0.734865:0.754577:0.734865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propongan resolver. :@0.754577:0.764851:0.891945:0.764851:0.891945:0.749952:0.754577:0.749952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conforme avances con los :@0.754577:0.779939:0.933949:0.779939:0.933949:0.765040:0.754577:0.765040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contenidos, irás :@0.754577:0.795027:0.862260:0.795027:0.862260:0.780128:0.754577:0.780128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adquiriendo destrezas :@0.754577:0.810114:0.905950:0.810114:0.905950:0.795215:0.754577:0.795215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que te permitirán :@0.754577:0.825202:0.874741:0.825202:0.874741:0.810303:0.754577:0.810303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solucionar ejercicios más :@0.754577:0.840289:0.923875:0.840289:0.923875:0.825390:0.754577:0.825390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complejos y tendrás :@0.754577:0.855377:0.892816:0.855377:0.892816:0.840478:0.754577:0.840478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor seguridad.:@0.754577:0.870465:0.870083:0.870465:0.870083:0.855566:0.754577:0.855566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué compromiso puedes :@0.754577:0.889110:0.922200:0.889110:0.922200:0.874237:0.754577:0.874237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacer para aprender estos :@0.754577:0.904198:0.921646:0.904198:0.921646:0.889324:0.754577:0.889324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temas?:@0.754577:0.919286:0.799909:0.919286:0.799909:0.904412:0.754577:0.904412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.759828:0.687148:0.898600:0.687148:0.898600:0.670247:0.759828:0.670247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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