163:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.597716:0.043660:0.920912:0.043660:0.920912:0.024915:0.597716:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.231614:0.848854:0.231614:0.848854:0.214667:0.740294:0.214667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.248256:0.837769:0.248256:0.837769:0.231309:0.740294:0.231309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.073089:0.137006:0.149461:0.137006:0.149461:0.120337:0.073089:0.120337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identifica las relaciones que son funciones.:@0.073089:0.164368:0.380753:0.164368:0.380753:0.148656:0.073089:0.148656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  B:@0.073089:0.188266:0.115669:0.188266:0.115669:0.172553:0.073089:0.172553:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.273183:0.188266:0.283675:0.188266:0.283675:0.172553:0.273183:0.172553:0.000000
b.  M:@0.415053:0.188266:0.462659:0.188266:0.462659:0.172553:0.415053:0.172553:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.610205:0.188266:0.618764:0.188266:0.618764:0.172553:0.610205:0.172553:0.000000
 :@0.618764:0.188266:0.622482:0.188266:0.622482:0.171083:0.618764:0.171083:0.000000
 :@0.073081:0.318003:0.077112:0.318003:0.077112:0.302290:0.073081:0.302290:0.000000
Ajiaco:@0.263921:0.236796:0.302142:0.236796:0.302142:0.223424:0.263921:0.223424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Arroz de coco:@0.239782:0.256104:0.326297:0.256104:0.326297:0.242732:0.239782:0.242732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bandeja paisa:@0.240330:0.275412:0.325749:0.275412:0.325749:0.262040:0.240330:0.262040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Patacón:@0.257953:0.294719:0.308126:0.294719:0.308126:0.281348:0.257953:0.281348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caribe:@0.112178:0.244290:0.152405:0.244290:0.152405:0.230919:0.112178:0.230919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antioquia:@0.101683:0.263598:0.162884:0.263598:0.162884:0.250226:0.101683:0.250226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bogotá:@0.109750:0.282906:0.154801:0.282906:0.154801:0.269534:0.109750:0.269534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.452896:0.251012:0.462329:0.251012:0.462329:0.236425:0.452896:0.236425:0.000000
c:@0.453802:0.281049:0.461423:0.281049:0.461423:0.266461:0.453802:0.266461:0.000000
a:@0.612897:0.235987:0.620655:0.235987:0.620655:0.221400:0.612897:0.221400:0.000000
e:@0.612624:0.266024:0.620912:0.266024:0.620912:0.251437:0.612624:0.251437:0.000000
i:@0.614982:0.296060:0.618553:0.296060:0.618553:0.281473:0.614982:0.281473:0.000000
c. :@0.073089:0.345368:0.090373:0.345368:0.090373:0.329656:0.073089:0.329656:0.000000:0.000000:0.000000
f:@0.105269:0.345368:0.109963:0.345368:0.109963:0.328962:0.105269:0.328962:0.000000
: :@0.110994:0.345368:0.119259:0.345368:0.119259:0.329656:0.110994:0.329656:0.000000:0.000000
ℝ:@0.120271:0.345951:0.133561:0.345951:0.133561:0.328297:0.120271:0.328297:0.000000
+:@0.134585:0.339644:0.143524:0.339644:0.143524:0.329352:0.134585:0.329352:0.000000
 :@0.161694:0.345951:0.166295:0.345951:0.166295:0.328297:0.161694:0.328297:0.000000
ℝ∙:@0.167308:0.345951:0.190814:0.345951:0.190814:0.328297:0.167308:0.328297:0.000000:0.000000
f x:@0.191826:0.345368:0.210914:0.345368:0.210914:0.328962:0.191826:0.328962:0.000000:0.000000:0.000000
( ):@0.197551:0.345368:0.216823:0.345368:0.216823:0.329656:0.197551:0.329656:0.000000:0.000000:0.000000
=±√:@0.217854:0.345951:0.268953:0.345951:0.268953:0.328297:0.217854:0.328297:0.000000:0.000000:0.000000
x:@0.269965:0.345368:0.277420:0.345368:0.277420:0.328962:0.269965:0.328962:0.000000
d. :@0.073089:0.372732:0.092177:0.372732:0.092177:0.357019:0.073089:0.357019:0.000000:0.000000:0.000000
f:@0.105269:0.372732:0.109963:0.372732:0.109963:0.356326:0.105269:0.356326:0.000000
: :@0.110994:0.372732:0.119259:0.372732:0.119259:0.357019:0.110994:0.357019:0.000000:0.000000
ℝ:@0.120271:0.373314:0.133561:0.373314:0.133561:0.355660:0.120271:0.355660:0.000000
+:@0.134585:0.367007:0.143524:0.367007:0.143524:0.356715:0.134585:0.356715:0.000000
 :@0.161694:0.373314:0.166295:0.373314:0.166295:0.355660:0.161694:0.355660:0.000000
ℝ∙:@0.167308:0.373314:0.190814:0.373314:0.190814:0.355660:0.167308:0.355660:0.000000:0.000000
f x:@0.191826:0.372732:0.210914:0.372732:0.210914:0.356326:0.191826:0.356326:0.000000:0.000000:0.000000
( ):@0.197551:0.372732:0.216823:0.372732:0.216823:0.357019:0.197551:0.357019:0.000000:0.000000:0.000000
= :@0.217854:0.373314:0.238801:0.373314:0.238801:0.355660:0.217854:0.355660:0.000000:0.000000
x:@0.238801:0.372732:0.246256:0.372732:0.246256:0.356326:0.238801:0.356326:0.000000
2.:@0.248308:0.366668:0.256013:0.366668:0.256013:0.357507:0.248308:0.357507:0.000000:0.000000
Solución:@0.073089:0.400095:0.139222:0.400095:0.139222:0.383425:0.073089:0.383425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Es función porque a cada elemento de   le corresponde un elemento de  .:@0.073089:0.427457:0.649553:0.427457:0.649553:0.411744:0.073089:0.411744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.390324:0.427457:0.399159:0.427457:0.399159:0.411051:0.390324:0.411051:0.000000
C:@0.636521:0.427457:0.646424:0.427457:0.646424:0.411051:0.636521:0.411051:0.000000
b.  No es función porque al elemento   del conjunto   le corresponden tres elementos :@0.073089:0.454820:0.710281:0.454820:0.710281:0.439107:0.073089:0.439107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.354062:0.454820:0.363321:0.454820:0.363321:0.438414:0.354062:0.438414:0.000000
M:@0.461763:0.454820:0.475642:0.454820:0.475642:0.438414:0.461763:0.438414:0.000000
de   al igual que al elemento  .:@0.106318:0.471462:0.330059:0.471462:0.330059:0.455749:0.106318:0.455749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.129051:0.471462:0.137169:0.471462:0.137169:0.455056:0.129051:0.455056:0.000000
c:@0.319272:0.471462:0.326929:0.471462:0.326929:0.455056:0.319272:0.455056:0.000000
c.  No es función, pues al extraer la raíz cuadrada de un número real positivo, tenemos :@0.073089:0.498825:0.710901:0.498825:0.710901:0.483112:0.073089:0.483112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos respuestas: una positiva y otra negativa. Es decir, a un elemento de :@0.106300:0.515467:0.665658:0.515467:0.665658:0.499754:0.106300:0.499754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.667206:0.516049:0.680496:0.516049:0.680496:0.498395:0.667206:0.498395:0.000000
+:@0.680773:0.509403:0.687169:0.509403:0.687169:0.500243:0.680773:0.500243:0.000000
 le :@0.687316:0.515467:0.710375:0.515467:0.710375:0.499754:0.687316:0.499754:0.000000:0.000000:0.000000:0.000000
corresponden dos imágenes en  .:@0.106291:0.532109:0.357035:0.532109:0.357035:0.516396:0.106291:0.516396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.340634:0.532691:0.353924:0.532691:0.353924:0.515037:0.340634:0.515037:0.000000
d.  Sí es función; a cada número real   le corresponde únicamente un número real  .:@0.073089:0.559472:0.701535:0.559472:0.701535:0.543759:0.073089:0.543759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.347785:0.560054:0.361075:0.560054:0.361075:0.542400:0.347785:0.542400:0.000000
ℝ:@0.685135:0.560054:0.698425:0.560054:0.698425:0.542400:0.685135:0.542400:0.000000
2.1 Dominio y rango de una función:@0.073093:0.586834:0.354207:0.586834:0.354207:0.569887:0.073093:0.569887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El dominio de una función   :   :@0.082576:0.617879:0.334561:0.617879:0.334561:0.602166:0.082576:0.602166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f X:@0.298391:0.617879:0.330530:0.617879:0.330530:0.601472:0.298391:0.601472:0.000000:0.000000:0.000000
   es el conjunto formado por las primeras :@0.354700:0.617879:0.695761:0.617879:0.695761:0.602166:0.354700:0.602166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.362297:0.617879:0.371207:0.617879:0.371207:0.601472:0.362297:0.601472:0.000000
componentes  de  los  pares  ordenados  que  pertenecen  a  .  Se  simboliza :@0.082581:0.634520:0.700752:0.634520:0.700752:0.618808:0.082581:0.618808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.574772:0.634520:0.579466:0.634520:0.579466:0.618114:0.574772:0.618114:0.000000
 :@0.696720:0.634520:0.700752:0.634520:0.700752:0.618808:0.696720:0.618808:0.000000
Dom f:@0.082581:0.651162:0.132593:0.651162:0.132593:0.634756:0.082581:0.634756:0.000000:0.000000:0.000000:0.000000:0.000000
={ ∙:@0.133698:0.651745:0.175132:0.651745:0.175132:0.634090:0.133698:0.634090:0.000000:0.000000:0.000000:0.000000
x x, y:@0.157369:0.651162:0.211174:0.651162:0.211174:0.634756:0.157369:0.634756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.176237:0.651162:0.181115:0.651162:0.181115:0.635450:0.176237:0.635450:0.000000
 :@0.195215:0.651745:0.199817:0.651745:0.199817:0.634090:0.195215:0.634090:0.000000
):@0.212278:0.651162:0.217156:0.651162:0.217156:0.635450:0.212278:0.635450:0.000000
∈  }:@0.218261:0.651745:0.261518:0.651745:0.261518:0.634090:0.218261:0.634090:0.000000:0.000000:0.000000:0.000000
f :@0.243184:0.651162:0.252296:0.651162:0.252296:0.634756:0.243184:0.634756:0.000000:0.000000
. Para que una relación sea función, a cada elemento del :@0.262622:0.651162:0.700770:0.651162:0.700770:0.635450:0.262622:0.635450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dominio le corresponde uno y solo un elemento del recorrido o rango. :@0.082581:0.667804:0.603775:0.667804:0.603775:0.652091:0.082581:0.652091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El  rango  o recorrido de  una  función    :   :@0.082581:0.691588:0.409687:0.691588:0.409687:0.675875:0.082581:0.675875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.373066:0.691588:0.377760:0.691588:0.377760:0.675182:0.373066:0.675182:0.000000
X:@0.396599:0.691588:0.405656:0.691588:0.405656:0.675182:0.396599:0.675182:0.000000
    es  el conjunto formado  por las :@0.430014:0.691594:0.700766:0.691594:0.700766:0.675882:0.430014:0.675882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.437829:0.691594:0.446738:0.691594:0.446738:0.675188:0.437829:0.675188:0.000000
segundas componentes de los pares ordenados que pertenecen a  . Se simboliza :@0.082569:0.708236:0.700721:0.708236:0.700721:0.692523:0.082569:0.692523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.590075:0.708236:0.594769:0.708236:0.594769:0.691830:0.590075:0.691830:0.000000
Ran f:@0.082569:0.724878:0.121592:0.724878:0.121592:0.708472:0.082569:0.708472:0.000000:0.000000:0.000000:0.000000:0.000000
={ ∙:@0.122697:0.725460:0.164150:0.725460:0.164150:0.707806:0.122697:0.707806:0.000000:0.000000:0.000000:0.000000
y x, y:@0.146369:0.724878:0.195774:0.724878:0.195774:0.708472:0.146369:0.708472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.165254:0.724878:0.170132:0.724878:0.170132:0.709165:0.165254:0.709165:0.000000
  ∈  }:@0.184232:0.725460:0.238534:0.725460:0.238534:0.707806:0.184232:0.707806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.196878:0.724878:0.201756:0.724878:0.201756:0.709165:0.196878:0.709165:0.000000
f :@0.223366:0.724878:0.232478:0.724878:0.232478:0.708472:0.223366:0.708472:0.000000:0.000000
. El rango está contenido en el conjunto de llegada o codominio.:@0.239638:0.724878:0.696821:0.724878:0.696821:0.709165:0.239638:0.709165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.073108:0.766704:0.149479:0.766704:0.149479:0.750035:0.073108:0.750035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina el dominio y el rango de la función  : :@0.073108:0.794066:0.424668:0.794066:0.424668:0.778354:0.073108:0.778354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.410678:0.794066:0.415372:0.794066:0.415372:0.777660:0.410678:0.777660:0.000000
ℕ<:@0.425680:0.794649:0.456347:0.794649:0.456347:0.776995:0.425680:0.776995:0.000000:0.000000
 :@0.457344:0.788338:0.460027:0.788338:0.460027:0.778046:0.457344:0.778046:0.000000
4:@0.460617:0.794063:0.469600:0.794063:0.469600:0.778350:0.460617:0.778350:0.000000
 :@0.470631:0.794063:0.473944:0.794063:0.473944:0.777657:0.470631:0.777657:0.000000
 :@0.492554:0.794645:0.497156:0.794645:0.497156:0.776991:0.492554:0.776991:0.000000
ℝ∙:@0.498168:0.794645:0.521674:0.794645:0.521674:0.776991:0.498168:0.776991:0.000000:0.000000
f  x:@0.522687:0.794063:0.546137:0.794063:0.546137:0.777657:0.522687:0.777657:0.000000:0.000000:0.000000:0.000000
( ):@0.532774:0.794063:0.552046:0.794063:0.552046:0.778350:0.532774:0.778350:0.000000:0.000000:0.000000
= +:@0.553077:0.794645:0.593242:0.794645:0.593242:0.776991:0.553077:0.776991:0.000000:0.000000:0.000000
x:@0.569423:0.794063:0.576877:0.794063:0.576877:0.777657:0.569423:0.777657:0.000000
1.:@0.594254:0.794063:0.607470:0.794063:0.607470:0.778350:0.594254:0.778350:0.000000:0.000000
Solución:@0.073089:0.821425:0.139742:0.821425:0.139742:0.804755:0.073089:0.804755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estructuramos la función: :@0.073089:0.848786:0.260707:0.848786:0.260707:0.833074:0.073089:0.833074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.260457:0.848786:0.265151:0.848786:0.265151:0.832380:0.260457:0.832380:0.000000
={:@0.266181:0.849369:0.288657:0.849369:0.288657:0.831715:0.266181:0.831715:0.000000:0.000000
(0, 1); (1, 2);(2, 3);(3, 4) .:@0.289669:0.848786:0.482172:0.848786:0.482172:0.833074:0.289669:0.833074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.471827:0.849369:0.477957:0.849369:0.477957:0.831715:0.471827:0.831715:0.000000
Formamos el dominio con las primeras componentes: :@0.073108:0.876148:0.468634:0.876148:0.468634:0.860436:0.073108:0.860436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f:@0.468238:0.876148:0.512662:0.876148:0.512662:0.859742:0.468238:0.859742:0.000000:0.000000:0.000000:0.000000:0.000000
={:@0.513722:0.876731:0.536197:0.876731:0.536197:0.859077:0.513722:0.859077:0.000000:0.000000
0, 1, 2, 3 .:@0.537210:0.876148:0.615422:0.876148:0.615422:0.860436:0.537210:0.860436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.605077:0.876731:0.611207:0.876731:0.611207:0.859077:0.605077:0.859077:0.000000
El rango se estructura con las segundas componentes: :@0.073108:0.903510:0.471536:0.903510:0.471536:0.887798:0.073108:0.887798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ran f:@0.471109:0.903510:0.507710:0.903510:0.507710:0.887104:0.471109:0.887104:0.000000:0.000000:0.000000:0.000000:0.000000
={:@0.508771:0.904093:0.531246:0.904093:0.531246:0.886439:0.508771:0.886439:0.000000:0.000000
1, 2, 3, 4 .:@0.532258:0.903510:0.610471:0.903510:0.610471:0.887798:0.532258:0.887798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.600126:0.904093:0.606255:0.904093:0.606255:0.886439:0.600126:0.886439:0.000000
Para determinar el :@0.744288:0.274952:0.869138:0.274952:0.869138:0.260668:0.744288:0.260668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dominio de una función :@0.744288:0.290081:0.909267:0.290081:0.909267:0.275797:0.744288:0.275797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definida por una :@0.744288:0.305210:0.858296:0.305210:0.858296:0.290926:0.744288:0.290926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fórmula, observamos las :@0.744288:0.320339:0.909349:0.320339:0.909349:0.306055:0.744288:0.306055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes restricciones::@0.744288:0.335468:0.902087:0.335468:0.902087:0.321184:0.744288:0.321184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.744288:0.357745:0.759750:0.357745:0.759750:0.342591:0.744288:0.342591:0.000000:0.000000:0.000000
La división entre cero :@0.774479:0.357745:0.918444:0.357745:0.918444:0.343461:0.774479:0.343461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no está definida. Es :@0.774412:0.372874:0.904016:0.372874:0.904016:0.358590:0.774412:0.358590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decir, si   está en el :@0.774412:0.388003:0.902594:0.388003:0.902594:0.373719:0.774412:0.373719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.826020:0.388003:0.832797:0.388003:0.832797:0.373088:0.826020:0.373088:0.000000
denominador, :@0.774396:0.403132:0.871278:0.403132:0.871278:0.388848:0.774396:0.388848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
excluiremos los :@0.774396:0.418261:0.879689:0.418261:0.879689:0.403977:0.774396:0.403977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores que :@0.774396:0.433390:0.853841:0.433390:0.853841:0.419106:0.774396:0.419106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convierten en cero a :@0.774396:0.448519:0.913546:0.448519:0.913546:0.434235:0.774396:0.434235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ese denominador.  :@0.774396:0.463648:0.900720:0.463648:0.900720:0.449364:0.774396:0.449364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En    :@0.774396:0.495419:0.808583:0.495419:0.808583:0.481134:0.774396:0.481134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.798191:0.495419:0.804985:0.495419:0.804985:0.480504:0.798191:0.480504:0.000000
=:@0.808538:0.496316:0.823871:0.496316:0.823871:0.478662:0.808538:0.478662:0.000000
2 3 0:@0.796466:0.520279:0.851889:0.520279:0.851889:0.505995:0.796466:0.505995:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.804565:0.520279:0.811342:0.520279:0.811342:0.505365:0.804565:0.505365:0.000000
– ≠:@0.811275:0.521177:0.843814:0.521177:0.843814:0.503523:0.811275:0.503523:0.000000:0.000000:0.000000
x:@0.796466:0.545141:0.803243:0.545141:0.803243:0.530226:0.796466:0.530226:0.000000
≠:@0.803183:0.546039:0.818516:0.546039:0.818516:0.528385:0.803183:0.528385:0.000000
2. :@0.744288:0.578139:0.759750:0.578139:0.759750:0.562984:0.744288:0.562984:0.000000:0.000000:0.000000
Las cantidades :@0.774479:0.578139:0.875134:0.578139:0.875134:0.563854:0.774479:0.563854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
subradicales de :@0.774412:0.593268:0.880490:0.593268:0.880490:0.578983:0.774412:0.578983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales con índice :@0.774412:0.608396:0.908216:0.608396:0.908216:0.594112:0.774412:0.594112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
par deben ser :@0.774412:0.623525:0.869210:0.623525:0.869210:0.609241:0.774412:0.609241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayores o iguales  :@0.774412:0.638654:0.900251:0.638654:0.900251:0.624370:0.774412:0.624370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a cero, ya que no :@0.774412:0.653783:0.889997:0.653783:0.889997:0.639499:0.774412:0.639499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podemos extraer la :@0.774412:0.668912:0.905884:0.668912:0.905884:0.654628:0.774412:0.654628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíz de índice par  :@0.774412:0.684041:0.893909:0.684041:0.893909:0.669757:0.774412:0.669757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una cantidad :@0.774412:0.699170:0.885642:0.699170:0.885642:0.684886:0.774412:0.684886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativa.:@0.774412:0.714299:0.834403:0.714299:0.834403:0.700015:0.774412:0.700015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En   :@0.772756:0.739161:0.807378:0.739161:0.807378:0.724877:0.772756:0.724877:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.795982:0.739161:0.802776:0.739161:0.802776:0.724246:0.795982:0.724246:0.000000
=√ +:@0.808307:0.740059:0.876223:0.740059:0.876223:0.722404:0.808307:0.722404:0.000000:0.000000:0.000000:0.000000
3:@0.844072:0.739161:0.852238:0.739161:0.852238:0.724877:0.844072:0.724877:0.000000
x:@0.853175:0.739161:0.859953:0.739161:0.859953:0.724246:0.853175:0.724246:0.000000
1;:@0.877235:0.739161:0.889250:0.739161:0.889250:0.724877:0.877235:0.724877:0.000000:0.000000
3:@0.791725:0.764023:0.799891:0.764023:0.799891:0.749739:0.791725:0.749739:0.000000
x:@0.800828:0.764023:0.807606:0.764023:0.807606:0.749108:0.800828:0.749108:0.000000
+ ≥:@0.808541:0.764920:0.849317:0.764920:0.849317:0.747266:0.808541:0.747266:0.000000:0.000000:0.000000
1:@0.824887:0.764023:0.833053:0.764023:0.833053:0.749739:0.824887:0.749739:0.000000
0:@0.850329:0.764023:0.858495:0.764023:0.858495:0.749739:0.850329:0.749739:0.000000
x:@0.791727:0.787624:0.798504:0.787624:0.798504:0.772709:0.791727:0.772709:0.000000
≥–:@0.799445:0.789781:0.824994:0.789781:0.824994:0.772127:0.799445:0.772127:0.000000:0.000000
Estas restricciones :@0.744288:0.825455:0.868151:0.825455:0.868151:0.811171:0.744288:0.811171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también se consideran al :@0.744288:0.840584:0.914538:0.840584:0.914538:0.826300:0.744288:0.826300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar el recorrido.:@0.744288:0.855713:0.900897:0.855713:0.900897:0.841429:0.744288:0.841429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.845735:0.486815:0.853902:0.486815:0.853902:0.472531:0.845735:0.472531:0.000000
2 3:@0.833771:0.505285:0.865861:0.505288:0.865861:0.491003:0.833771:0.491001:0.000000:0.000000:0.000000
x:@0.841870:0.505285:0.848647:0.505285:0.848647:0.490371:0.841870:0.490371:0.000000
–:@0.848584:0.506185:0.857787:0.506185:0.857787:0.488531:0.848584:0.488531:0.000000
3:@0.823203:0.541852:0.831369:0.541852:0.831369:0.527568:0.823203:0.527568:0.000000
2:@0.823203:0.558254:0.831369:0.558254:0.831369:0.543970:0.823203:0.543970:0.000000
1:@0.834137:0.786298:0.842303:0.786298:0.842303:0.772013:0.834137:0.772013:0.000000
3:@0.834137:0.802700:0.842303:0.802700:0.842303:0.788416:0.834137:0.788416:0.000000
DBA 9 (Ev. 1) Opera con formas simbólicas y las interpreta.:@0.031346:0.956333:0.335251:0.956333:0.335251:0.944906:0.031346:0.944906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 8 (Ev. 2) Relaciona un cambio en la variable independiente con el cambio correspondiente en la variable dependiente. :@0.031346:0.968437:0.681588:0.968437:0.681588:0.957009:0.031346:0.957009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 8 (Ev. 4) Reconoce y representa relaciones numéricas mediante expresiones algebraicas y encuentra el conjunto de variación de una variable en función del contexto.:@0.031346:0.980540:0.871482:0.980540:0.871482:0.969112:0.031346:0.969112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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