﻿100:@0.032380:0.974518:0.061577:0.974518:0.061577:0.956590:0.032380:0.956590:0.000000:0.000000:0.000000
Funciones:@0.073089:0.043661:0.163813:0.043661:0.163813:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos que una relación   de un conjunto   en un conjunto   es un subconjunto :@0.294465:0.219268:0.931017:0.219268:0.931017:0.202834:0.294465:0.202834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.516420:0.219268:0.525366:0.219268:0.525366:0.202861:0.516420:0.202861:0.000000
A:@0.646596:0.219268:0.656480:0.219268:0.656480:0.202861:0.646596:0.202861:0.000000
B:@0.777563:0.219268:0.786399:0.219268:0.786399:0.202861:0.777563:0.202861:0.000000
del producto cartesiano entre       que cumple una ley, regla o característica particular, :@0.294447:0.235909:0.931104:0.235909:0.931104:0.219476:0.294447:0.219476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.512020:0.235909:0.521905:0.235909:0.521905:0.219503:0.512020:0.219503:0.000000
×:@0.525366:0.236492:0.540699:0.236492:0.540699:0.218838:0.525366:0.218838:0.000000
B:@0.544123:0.235909:0.552958:0.235909:0.552958:0.219503:0.544123:0.219503:0.000000
la cual hace corresponder los elementos de   con los elementos de .:@0.294465:0.252551:0.797903:0.252551:0.797903:0.236117:0.294465:0.236117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.613205:0.252551:0.623090:0.252551:0.623090:0.236145:0.613205:0.236145:0.000000
 B:@0.782681:0.252551:0.794756:0.252551:0.794756:0.236145:0.782681:0.236145:0.000000:0.000000
Un trabajador gana en una construcción $10 por cada hora de trabajo. ¿Cuánto recibirá :@0.294465:0.279913:0.931455:0.279913:0.931455:0.263479:0.294465:0.263479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por un número cualesquiera de horas de trabajo?:@0.294465:0.296555:0.652258:0.296555:0.652258:0.280121:0.294465:0.280121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, plantearemos la función::@0.294465:0.323917:0.591461:0.323917:0.591461:0.307483:0.294465:0.307483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero: :@0.294465:0.351279:0.365235:0.351279:0.365235:0.334332:0.294465:0.334332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verificamos si la relación anterior es una función.:@0.365149:0.351279:0.714776:0.351279:0.714776:0.334845:0.365149:0.334845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una función debido a que asigna a cada hora de trabajo una cantidad de dinero.:@0.294465:0.371499:0.894834:0.371499:0.894834:0.355065:0.294465:0.355065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Segundo::@0.294465:0.398861:0.370080:0.398861:0.370080:0.381914:0.294465:0.381914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 identificamos la variable dependiente y la variable independiente.:@0.369990:0.398861:0.850815:0.398861:0.850815:0.382427:0.369990:0.382427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variable independiente: horas trabajadas, ( ).:@0.294465:0.419080:0.616150:0.419080:0.616150:0.402647:0.294465:0.402647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.600762:0.419080:0.608217:0.419080:0.608217:0.402674:0.600762:0.402674:0.000000
Variable dependiente: cantidad de dinero que gana,   =  ( ).:@0.294447:0.439300:0.725213:0.439300:0.725213:0.422866:0.294447:0.422866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.674207:0.439300:0.681680:0.439300:0.681680:0.422894:0.674207:0.422894:0.000000
f x:@0.700400:0.439300:0.717280:0.439300:0.717280:0.422894:0.700400:0.422894:0.000000:0.000000:0.000000
Tercero::@0.294428:0.466662:0.356746:0.466662:0.356746:0.449715:0.294428:0.449715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 escribimos la función que modela el problema:   ( ) = 10 .:@0.356663:0.466662:0.777821:0.466662:0.777821:0.450228:0.356663:0.450228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.709033:0.466662:0.725913:0.466662:0.725913:0.450256:0.709033:0.450256:0.000000:0.000000:0.000000
x:@0.767237:0.466662:0.774692:0.466662:0.774692:0.450256:0.767237:0.450256:0.000000
Realizamos la representación gráfica de la función planteada utilizando una tabla de :@0.294410:0.609394:0.930947:0.609394:0.930947:0.592960:0.294410:0.592960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores, en la cual asignamos cantidades a la variable dependiente.:@0.294410:0.626036:0.776628:0.626036:0.776628:0.609602:0.294410:0.609602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.294410:0.813589:0.370192:0.813589:0.370192:0.796919:0.294410:0.796919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un comerciante de ropa vende cada camisa en $25.:@0.294410:0.837373:0.669575:0.837373:0.669575:0.820939:0.294410:0.820939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las variables son::@0.294410:0.857593:0.418707:0.857593:0.418707:0.841159:0.294410:0.841159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•   Variable independiente: :@0.294410:0.877813:0.495395:0.877813:0.495395:0.861143:0.294410:0.861143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de camisas, ( ).:@0.495215:0.877813:0.664138:0.877813:0.664138:0.861379:0.495215:0.861379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.648749:0.877813:0.656204:0.877813:0.656204:0.861407:0.648749:0.861407:0.000000
•   Variable dependiente: :@0.294391:0.898032:0.480999:0.898032:0.480999:0.881363:0.294391:0.881363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor, ( ).:@0.480838:0.898032:0.542687:0.898032:0.542687:0.881599:0.480838:0.881599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.527280:0.898032:0.534753:0.898032:0.534753:0.881626:0.527280:0.881626:0.000000
La función que modela el problema es:  ) = 25 .:@0.294391:0.925394:0.649320:0.925394:0.649320:0.908961:0.294391:0.908961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x:@0.580514:0.925394:0.597393:0.925394:0.597393:0.908988:0.580514:0.908988:0.000000:0.000000:0.000000
x:@0.638736:0.925394:0.646191:0.925394:0.646191:0.908988:0.638736:0.908988:0.000000
Definición.:@0.306272:0.506412:0.394894:0.506412:0.394894:0.489465:0.306272:0.489465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Una función es una relación o correspondencia que asigna a cada :@0.395138:0.506412:0.919196:0.506412:0.919196:0.489978:0.395138:0.489978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento de un conjunto A, uno y solo un elemento de un conjunto B.:@0.302917:0.523054:0.816620:0.523054:0.816620:0.506620:0.302917:0.506620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.419435:0.523054:0.423153:0.523054:0.423153:0.505871:0.419435:0.505871:0.000000
f:@0.581806:0.546838:0.587862:0.546838:0.587862:0.529683:0.581806:0.529683:0.000000
: :@0.587788:0.546838:0.594948:0.546838:0.594948:0.530404:0.587788:0.530404:0.000000:0.000000
A   B:@0.594856:0.546838:0.636504:0.546843:0.636504:0.530437:0.594856:0.530432:0.000000:0.000000:0.000000:0.000000:0.000000
Se lee “la función f del conjunto   en el conjunto  ” y su ecuación es   =  ( ).:@0.302926:0.570633:0.847155:0.570633:0.847155:0.554200:0.302926:0.554200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.534563:0.570633:0.544447:0.570633:0.544447:0.554227:0.534563:0.554227:0.000000
B:@0.657652:0.570633:0.666487:0.570633:0.666487:0.554227:0.657652:0.554227:0.000000
y:@0.796148:0.570633:0.803621:0.570633:0.803621:0.554227:0.796148:0.554227:0.000000
f x:@0.822342:0.570633:0.839221:0.570633:0.839221:0.554227:0.822342:0.554227:0.000000:0.000000:0.000000
Horas  :@0.331074:0.691482:0.380972:0.691482:0.380972:0.675861:0.331074:0.675861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de trabajo:@0.314589:0.706611:0.390695:0.706611:0.390695:0.690990:0.314589:0.690990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.414557:0.699047:0.422723:0.699047:0.422723:0.684107:0.414557:0.684107:0.000000
2:@0.453932:0.699047:0.462098:0.699047:0.462098:0.684107:0.453932:0.684107:0.000000
3:@0.493307:0.699047:0.501473:0.699047:0.501473:0.684107:0.493307:0.684107:0.000000
4:@0.532682:0.699047:0.540848:0.699047:0.540848:0.684107:0.532682:0.684107:0.000000
5:@0.572056:0.699047:0.580223:0.699047:0.580223:0.684107:0.572056:0.684107:0.000000
Cantidad  :@0.318960:0.726153:0.392673:0.726153:0.392673:0.710532:0.318960:0.710532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dinero:@0.317270:0.741282:0.388002:0.741282:0.388002:0.725661:0.317270:0.725661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.410478:0.733717:0.426810:0.733717:0.426810:0.718777:0.410478:0.718777:0.000000:0.000000
20:@0.449852:0.733717:0.466185:0.733717:0.466185:0.718777:0.449852:0.718777:0.000000:0.000000
30:@0.489227:0.733717:0.505559:0.733717:0.505559:0.718777:0.489227:0.718777:0.000000:0.000000
40:@0.528602:0.733717:0.544934:0.733717:0.544934:0.718777:0.528602:0.718777:0.000000:0.000000
50:@0.567977:0.733717:0.584309:0.733717:0.584309:0.718777:0.567977:0.718777:0.000000:0.000000
10:@0.625908:0.747396:0.637267:0.747396:0.637267:0.737987:0.625908:0.737987:0.000000:0.000000
0:@0.632783:0.769159:0.638463:0.769159:0.638463:0.759750:0.632783:0.759750:0.000000
2:@0.719352:0.771755:0.725032:0.771755:0.725032:0.762346:0.719352:0.762346:0.000000
3:@0.760195:0.770366:0.765875:0.770366:0.765875:0.760956:0.760195:0.760956:0.000000
1:@0.679317:0.770416:0.684200:0.770416:0.684200:0.760915:0.679317:0.760915:0.000000
20:@0.625354:0.731073:0.636714:0.731073:0.636714:0.721664:0.625354:0.721664:0.000000:0.000000
4:@0.800629:0.770366:0.806309:0.770366:0.806309:0.760956:0.800629:0.760956:0.000000
y:@0.627059:0.666182:0.632274:0.666182:0.632274:0.656773:0.627059:0.656773:0.000000
x:@0.897041:0.763660:0.902167:0.763660:0.902167:0.754251:0.897041:0.754251:0.000000
5:@0.841074:0.770366:0.846753:0.770366:0.846753:0.760956:0.841074:0.760956:0.000000
6:@0.881518:0.770366:0.887198:0.770366:0.887198:0.760956:0.881518:0.760956:0.000000
30:@0.625919:0.714750:0.637278:0.714750:0.637278:0.705341:0.625919:0.705341:0.000000:0.000000
40:@0.625553:0.698428:0.636913:0.698428:0.636913:0.689018:0.625553:0.689018:0.000000:0.000000
50:@0.625232:0.682105:0.636592:0.682105:0.636592:0.672696:0.625232:0.672696:0.000000:0.000000
Cantidad de dinero:@0.648018:0.670041:0.744605:0.670041:0.744605:0.658231:0.648018:0.658231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Horas de trabajo:@0.803064:0.780148:0.886365:0.780148:0.886365:0.768337:0.803064:0.768337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2, 20):@0.699799:0.720980:0.733360:0.720980:0.733360:0.709689:0.699799:0.709689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3, 30):@0.762628:0.725982:0.796188:0.725982:0.796188:0.714691:0.762628:0.714691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(4, 40):@0.780896:0.688125:0.814456:0.688125:0.814456:0.676834:0.780896:0.676834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(5, 50):@0.842901:0.692698:0.876461:0.692698:0.876461:0.681407:0.842901:0.681407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1, 10):@0.685956:0.754714:0.719516:0.754714:0.719516:0.743423:0.685956:0.743423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 2. Modelos matemáticos como funciones:@0.073089:0.098522:0.762618:0.098522:0.762618:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302129:0.139844:0.424604:0.139844:0.424604:0.124438:0.302129:0.124438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo se representa un producto cartesiano?:@0.294207:0.169577:0.628352:0.169577:0.628352:0.153143:0.294207:0.153143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Toda función es una :@0.078581:0.269826:0.216401:0.269826:0.216401:0.254886:0.078581:0.254886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación, pero no toda :@0.078581:0.284955:0.228548:0.284955:0.228548:0.270015:0.078581:0.270015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación es una función.:@0.078581:0.300084:0.236214:0.300084:0.236214:0.285144:0.078581:0.285144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.229119:0.187141:0.229119:0.187141:0.212172:0.078581:0.212172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.245761:0.176057:0.245761:0.176057:0.228814:0.078581:0.228814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se lee la función f del :@0.078581:0.566283:0.222201:0.566283:0.222201:0.551343:0.078581:0.551343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto   en el conjunto :@0.078581:0.581411:0.254456:0.581411:0.254456:0.566472:0.078581:0.566472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.142337:0.581411:0.151323:0.581411:0.151323:0.566497:0.142337:0.566497:0.000000
B:@0.078581:0.596540:0.086613:0.596540:0.086613:0.581626:0.078581:0.581626:0.000000
 y su ecuación es   =  ).:@0.086546:0.596540:0.247677:0.596540:0.247677:0.581601:0.086546:0.581601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.201290:0.596540:0.208084:0.596540:0.208084:0.581626:0.201290:0.581626:0.000000
f(x:@0.225103:0.596540:0.240448:0.596540:0.240448:0.581626:0.225103:0.581626:0.000000:0.000000:0.000000
Variable independiente.:@0.078564:0.618818:0.250394:0.618818:0.250394:0.603411:0.078564:0.603411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.250354:0.618818:0.253734:0.618818:0.253734:0.603197:0.250354:0.603197:0.000000
Está representada con :@0.078564:0.633947:0.228120:0.633947:0.228120:0.619007:0.078564:0.619007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la letra   y se le asigna :@0.078564:0.649076:0.226100:0.649076:0.226100:0.634136:0.078564:0.634136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.125754:0.649076:0.132531:0.649076:0.132531:0.634161:0.125754:0.634161:0.000000
cualquier valor que :@0.078564:0.664205:0.208971:0.664205:0.208971:0.649265:0.078564:0.649265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permita el dominio.:@0.078564:0.679334:0.207904:0.679334:0.207904:0.664394:0.078564:0.664394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variable dependiente. :@0.078564:0.701611:0.240069:0.701611:0.240069:0.686205:0.078564:0.686205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se :@0.239962:0.701611:0.259518:0.701611:0.259518:0.686671:0.239962:0.686671:0.000000:0.000000:0.000000
la representa con la letra :@0.078564:0.716740:0.243264:0.716740:0.243264:0.701800:0.078564:0.701800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.078564:0.731869:0.085358:0.731869:0.085358:0.716954:0.078564:0.716954:0.000000
 porque depende de los :@0.085291:0.731869:0.247839:0.731869:0.247839:0.716929:0.085291:0.716929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores que se le asignen :@0.078564:0.746998:0.246443:0.746998:0.246443:0.732058:0.078564:0.732058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a  .:@0.078564:0.762127:0.099297:0.762127:0.099297:0.747187:0.078564:0.747187:0.000000:0.000000:0.000000:0.000000
x:@0.089675:0.762127:0.096453:0.762127:0.096453:0.747212:0.089675:0.747212:0.000000
Evaluación de funciones. :@0.078547:0.784404:0.258848:0.784404:0.258848:0.768998:0.078547:0.768998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluar una función es :@0.078547:0.799533:0.230533:0.799533:0.230533:0.784593:0.078547:0.784593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontrar la imagen de un :@0.078547:0.814662:0.257533:0.814662:0.257533:0.799722:0.078547:0.799722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor  , reemplazando en la :@0.078547:0.829791:0.261946:0.829791:0.261946:0.814851:0.078547:0.814851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.114324:0.829791:0.121102:0.829791:0.121102:0.814876:0.114324:0.814876:0.000000
función. :@0.078547:0.844920:0.135727:0.844920:0.135727:0.829980:0.078547:0.829980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo::@0.078547:0.867197:0.165410:0.867197:0.165410:0.852043:0.078547:0.852043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.078547:0.882326:0.093892:0.882326:0.093892:0.867411:0.078547:0.867411:0.000000:0.000000:0.000000
( ) = 3  − 1.  :@0.082748:0.882326:0.165346:0.882326:0.165346:0.867386:0.082748:0.867386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.123361:0.882326:0.130138:0.882326:0.130138:0.867411:0.123361:0.867411:0.000000
La imagen de:@0.078531:0.897455:0.168425:0.897455:0.168425:0.882515:0.078531:0.882515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.078531:0.912584:0.085308:0.912584:0.085308:0.897669:0.078531:0.897669:0.000000
 = 5 es::@0.085241:0.912584:0.131175:0.912584:0.131175:0.897644:0.085241:0.897644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.078531:0.927713:0.082798:0.927713:0.082798:0.912798:0.078531:0.912798:0.000000
(5) = 3(5) − 1 = 14.:@0.082731:0.927713:0.203014:0.927713:0.203014:0.912773:0.082731:0.912773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.525576:0.187141:0.525576:0.187141:0.508629:0.078581:0.508629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.542217:0.176057:0.542217:0.176057:0.525270:0.078581:0.525270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 2 (Ev. 3) Determina y describe relaciones al comparar características de gráficas y expresiones algebraicas o funciones.:@0.277694:0.971265:0.920402:0.971265:0.920402:0.959313:0.277694:0.959313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000