﻿26:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.738381:0.236739:0.738381:0.236739:0.704434:0.175844:0.704434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.3.1. Grafica funciones reales y analiza su dominio, recorrido, monotonía, ceros, extremos, paridad; identifica las funciones afines, :@0.256865:0.715846:0.877673:0.715846:0.877673:0.705416:0.256865:0.705416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencia, raíz cuadrada, valor absoluto; reconoce si una función es inyectiva, sobreyectiva o biyectiva; realiza operaciones con :@0.256865:0.726407:0.877758:0.726407:0.877758:0.715978:0.256865:0.715978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones aplicando las propiedades de los números reales en problemas reales e hipotéticos. (I.4.):@0.256865:0.736968:0.714621:0.736968:0.714621:0.726539:0.256865:0.726539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.511561:0.272331:0.511561:0.272331:0.493124:0.115209:0.493124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea la función racional: :@0.115209:0.540775:0.281205:0.540775:0.281205:0.524386:0.115209:0.524386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.290715:0.543340:0.313916:0.543340:0.313916:0.523407:0.290715:0.523407:0.000000:0.000000
=:@0.316576:0.540886:0.326693:0.540886:0.326693:0.525313:0.316576:0.525313:0.000000
+:@0.342909:0.532366:0.353026:0.532366:0.353026:0.516793:0.342909:0.516793:0.000000
≠:@0.383689:0.540886:0.393806:0.540886:0.393806:0.525313:0.383689:0.525313:0.000000
1:@0.353910:0.531689:0.362903:0.531689:0.362903:0.515300:0.353910:0.515300:0.000000
–1:@0.343537:0.551130:0.363107:0.551130:0.363107:0.534741:0.343537:0.534741:0.000000:0.000000
,:@0.363169:0.540208:0.366376:0.540208:0.366376:0.523819:0.363169:0.523819:0.000000
.:@0.367297:0.540208:0.370504:0.540208:0.370504:0.523819:0.367297:0.523819:0.000000
1.:@0.395197:0.540208:0.407193:0.540208:0.407193:0.523819:0.395197:0.523819:0.000000:0.000000
fx:@0.281903:0.540208:0.306062:0.540208:0.306062:0.523847:0.281903:0.523847:0.000000:0.000000
x:@0.332321:0.531689:0.339785:0.531689:0.339785:0.515327:0.332321:0.515327:0.000000
x:@0.332177:0.551130:0.339641:0.551130:0.339641:0.534769:0.332177:0.534769:0.000000
x:@0.372174:0.540208:0.379637:0.540208:0.379637:0.523847:0.372174:0.523847:0.000000
Determinamos:@0.411646:0.540775:0.526118:0.540775:0.526118:0.524151:0.411646:0.524151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.526118:0.540775:0.530154:0.540775:0.530154:0.524386:0.526118:0.524386:0.000000:0.000000:0.000000
el :@0.115219:0.567177:0.132099:0.567177:0.132099:0.550788:0.115219:0.550788:0.000000:0.000000:0.000000
Dom f:@0.132099:0.567177:0.177318:0.567177:0.177318:0.550816:0.132099:0.550816:0.000000:0.000000:0.000000:0.000000:0.000000
( ), las asíntotas y :@0.167736:0.567177:0.294094:0.567177:0.294094:0.550788:0.167736:0.550788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
graficamos:@0.294094:0.567177:0.378658:0.567177:0.378658:0.550553:0.294094:0.550553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.378658:0.567177:0.381865:0.567177:0.381865:0.550788:0.378658:0.550788:0.000000
Observamos:@0.115219:0.592155:0.211872:0.592155:0.211872:0.575531:0.115219:0.575531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que el :@0.211872:0.592155:0.264833:0.592155:0.264833:0.575766:0.211872:0.575766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.339803:0.593032:0.353108:0.593032:0.353108:0.576284:0.339803:0.576284:0.000000
():@0.303524:0.595293:0.324108:0.595293:0.324108:0.575360:0.303524:0.575360:0.000000:0.000000
{}:@0.367078:0.594604:0.389172:0.594604:0.389172:0.576228:0.367078:0.576228:0.000000:0.000000
=:@0.326768:0.592839:0.336885:0.592839:0.336885:0.577266:0.326768:0.577266:0.000000
–1 , por lo que la asín-:@0.356142:0.592161:0.526118:0.592161:0.526118:0.575772:0.356142:0.575772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Domf:@0.267081:0.592161:0.314661:0.592161:0.314661:0.575800:0.267081:0.575800:0.000000:0.000000:0.000000:0.000000
tota vertical es:   =1.:@0.115200:0.608757:0.263543:0.608757:0.263543:0.592369:0.115200:0.592369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.228862:0.608757:0.236325:0.608757:0.236325:0.592396:0.228862:0.592396:0.000000
Vemos:@0.115200:0.633735:0.166890:0.633735:0.166890:0.617111:0.115200:0.617111:0.000000:0.000000:0.000000:0.000000:0.000000
 que :@0.166890:0.633735:0.206214:0.633735:0.206214:0.617346:0.166890:0.617346:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.220164:0.636871:0.243365:0.636871:0.243365:0.616937:0.220164:0.616937:0.000000:0.000000
→:@0.245606:0.634416:0.263794:0.634416:0.263794:0.618844:0.245606:0.618844:0.000000
→∞:@0.355029:0.634416:0.388472:0.634416:0.388472:0.618844:0.355029:0.618844:0.000000:0.000000
1 cuando:@0.265191:0.633739:0.332544:0.633739:0.332544:0.617350:0.265191:0.617350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.273981:0.633739:0.277188:0.633739:0.277188:0.617350:0.273981:0.617350:0.000000
.:@0.332157:0.633739:0.335364:0.633739:0.335364:0.617350:0.332157:0.617350:0.000000
,  por lo que tiene :@0.388693:0.633739:0.530199:0.633739:0.530199:0.617350:0.388693:0.617350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.211383:0.633739:0.235541:0.633739:0.235541:0.617378:0.211383:0.617378:0.000000:0.000000
x:@0.341058:0.633739:0.348521:0.633739:0.348521:0.617378:0.341058:0.617378:0.000000
una asíntota horizontal   =1. El gráfico de la función es el :@0.115227:0.655107:0.530125:0.655107:0.530125:0.638718:0.115227:0.638718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.286752:0.655107:0.294233:0.655107:0.294233:0.638745:0.286752:0.638745:0.000000
que se muestra en la figura.:@0.115227:0.676474:0.316936:0.676474:0.316936:0.660086:0.115227:0.660086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función racional:@0.115891:0.141978:0.349436:0.141978:0.349436:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.055475:0.122645:0.075035:0.122645:0.075035:0.065614:0.055475:0.065614:0.000000
M.5.1.43. Graficar funciones racionales con cocientes de polinomios de grado ≤3 en diversos ejemplos, y determinar las ecuaciones de las asíntotas, si las tuvieran, :@0.125388:0.066470:0.877698:0.066470:0.877698:0.056040:0.125388:0.056040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con ayuda de las TIC.:@0.125388:0.077031:0.222167:0.077031:0.222167:0.066602:0.125388:0.066602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 M.5.1.44. Determinar el dominio, rango, ceros, paridad, monotonía, extremos y asíntotas de funciones racionales con cocientes de polinomios de grado ≤3 con :@0.125388:0.087592:0.877720:0.087592:0.877720:0.077163:0.125388:0.077163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el apoyo de las TIC.:@0.125388:0.098154:0.213536:0.098154:0.213536:0.087724:0.125388:0.087724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función racional:@0.431950:0.166981:0.563300:0.166981:0.563300:0.150080:0.431950:0.150080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición de función racional:@0.122476:0.236243:0.360318:0.236243:0.360318:0.219342:0.122476:0.219342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función racional se define como::@0.407938:0.195914:0.680594:0.195914:0.680594:0.179525:0.407938:0.179525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.448657:0.222570:0.451863:0.222570:0.451863:0.206181:0.448657:0.206181:0.000000
..:@0.452785:0.222570:0.459032:0.222570:0.459032:0.206181:0.452785:0.206181:0.000000:0.000000
0:@0.484148:0.222570:0.493141:0.222570:0.493141:0.206181:0.484148:0.206181:0.000000
;:@0.603044:0.222570:0.606250:0.222570:0.606250:0.206181:0.603044:0.206181:0.000000
..:@0.607171:0.222570:0.613418:0.222570:0.613418:0.206181:0.607171:0.206181:0.000000:0.000000
0,:@0.662823:0.222570:0.675556:0.222570:0.675556:0.206181:0.662823:0.206181:0.000000:0.000000
.:@0.676478:0.222570:0.679684:0.222570:0.679684:0.206181:0.676478:0.206181:0.000000
f:@0.410530:0.222570:0.415229:0.222570:0.415229:0.206209:0.410530:0.206209:0.000000
p:@0.436126:0.214050:0.445395:0.214050:0.445395:0.197689:0.436126:0.197689:0.000000
q:@0.435923:0.233496:0.445192:0.233496:0.445192:0.217135:0.435923:0.217135:0.000000
q:@0.459584:0.222570:0.468854:0.222570:0.468854:0.206209:0.459584:0.206209:0.000000
f x:@0.516342:0.222570:0.540500:0.222570:0.540500:0.206209:0.516342:0.206209:0.000000:0.000000:0.000000
px:@0.566225:0.212944:0.592282:0.212944:0.592282:0.196583:0.566225:0.196583:0.000000:0.000000
qx:@0.566022:0.233496:0.591711:0.233496:0.591711:0.217135:0.566022:0.217135:0.000000:0.000000
qx:@0.613971:0.222570:0.639659:0.222570:0.639659:0.206209:0.613971:0.206209:0.000000:0.000000
x:@0.681343:0.222570:0.688806:0.222570:0.688806:0.206209:0.681343:0.206209:0.000000
():@0.525142:0.225702:0.548342:0.225702:0.548342:0.205768:0.525142:0.205768:0.000000:0.000000
():@0.576923:0.216071:0.600124:0.216071:0.600124:0.196138:0.576923:0.196138:0.000000:0.000000
():@0.576342:0.236625:0.599542:0.236625:0.599542:0.216692:0.576342:0.216692:0.000000:0.000000
():@0.624296:0.225702:0.647496:0.225702:0.647496:0.205768:0.624296:0.205768:0.000000:0.000000
=:@0.420910:0.223248:0.431027:0.223248:0.431027:0.207675:0.420910:0.207675:0.000000
≠ →:@0.471475:0.223248:0.513804:0.223248:0.513804:0.207675:0.471475:0.207675:0.000000:0.000000:0.000000
=:@0.551009:0.223248:0.561126:0.223248:0.561126:0.207675:0.551009:0.207675:0.000000
≠:@0.650156:0.223248:0.660273:0.223248:0.660273:0.207675:0.650156:0.207675:0.000000
∈:@0.693240:0.223248:0.706379:0.223248:0.706379:0.207675:0.693240:0.207675:0.000000
:@0.709733:0.223441:0.723038:0.223441:0.723038:0.206693:0.709733:0.206693:0.000000
•  ,   son dos funciones polinomiales.:@0.407925:0.256994:0.687671:0.256994:0.687671:0.240605:0.407925:0.240605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.422999:0.256994:0.448779:0.256994:0.448779:0.240632:0.422999:0.240632:0.000000:0.000000:0.000000
• :@0.407925:0.276563:0.416512:0.276563:0.416512:0.260175:0.407925:0.260175:0.000000:0.000000
:@0.535769:0.276978:0.549074:0.276978:0.549074:0.260230:0.535769:0.260230:0.000000
{:@0.497187:0.280813:0.506032:0.280813:0.506032:0.257765:0.497187:0.257765:0.000000
}:@0.611530:0.280813:0.620376:0.280813:0.620376:0.257765:0.611530:0.257765:0.000000
():@0.462059:0.279239:0.482642:0.279239:0.482642:0.259306:0.462059:0.259306:0.000000:0.000000
():@0.564240:0.279239:0.587440:0.279239:0.587440:0.259306:0.564240:0.259306:0.000000:0.000000
=:@0.485303:0.276785:0.495419:0.276785:0.495419:0.261212:0.485303:0.261212:0.000000
∈:@0.519283:0.276785:0.532422:0.276785:0.532422:0.261212:0.519283:0.261212:0.000000
≠:@0.590101:0.276785:0.600217:0.276785:0.600217:0.261212:0.590101:0.261212:0.000000
0:@0.602760:0.276107:0.611753:0.276107:0.611753:0.259718:0.602760:0.259718:0.000000
Domf:@0.425597:0.276107:0.473177:0.276107:0.473177:0.259746:0.425597:0.259746:0.000000:0.000000:0.000000:0.000000
x:@0.507379:0.276107:0.514842:0.276107:0.514842:0.259746:0.507379:0.259746:0.000000
q x:@0.553927:0.276107:0.579597:0.276107:0.579597:0.259746:0.553927:0.259746:0.000000:0.000000:0.000000
Igualdad de funciones racionales:@0.122463:0.361509:0.383892:0.361509:0.383892:0.344609:0.122463:0.344609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.419340:0.321663:0.442541:0.321663:0.442541:0.301729:0.419340:0.301729:0.000000:0.000000
():@0.471122:0.312032:0.494322:0.312032:0.494322:0.292099:0.471122:0.292099:0.000000:0.000000
():@0.470551:0.332585:0.493751:0.332585:0.493751:0.312652:0.470551:0.312652:0.000000:0.000000
():@0.515477:0.321663:0.538678:0.321663:0.538678:0.301729:0.515477:0.301729:0.000000:0.000000
():@0.582111:0.321663:0.605312:0.321663:0.605312:0.301729:0.582111:0.301729:0.000000:0.000000
():@0.630318:0.312032:0.653519:0.312032:0.653519:0.292099:0.630318:0.292099:0.000000:0.000000
():@0.630484:0.332585:0.653684:0.332585:0.653684:0.312652:0.630484:0.312652:0.000000:0.000000
():@0.672517:0.321663:0.695718:0.321663:0.695718:0.301729:0.672517:0.301729:0.000000:0.000000
=:@0.445201:0.319209:0.455318:0.319209:0.455318:0.303636:0.445201:0.303636:0.000000
≠:@0.541319:0.319209:0.551436:0.319209:0.551436:0.303636:0.541319:0.303636:0.000000
=:@0.607962:0.319209:0.618079:0.319209:0.618079:0.303636:0.607962:0.303636:0.000000
≠:@0.698368:0.319209:0.708485:0.319209:0.708485:0.303636:0.698368:0.303636:0.000000
,:@0.497239:0.318531:0.500445:0.318531:0.500445:0.302142:0.497239:0.302142:0.000000
.:@0.501367:0.318531:0.504573:0.318531:0.504573:0.302142:0.501367:0.302142:0.000000
0,:@0.553977:0.318531:0.566711:0.318531:0.566711:0.302142:0.553977:0.302142:0.000000:0.000000
.:@0.567632:0.318531:0.570839:0.318531:0.570839:0.302142:0.567632:0.302142:0.000000
,:@0.656583:0.318531:0.659789:0.318531:0.659789:0.302142:0.656583:0.302142:0.000000
.:@0.660710:0.318531:0.663917:0.318531:0.663917:0.302142:0.660710:0.302142:0.000000
0:@0.711018:0.318531:0.720010:0.318531:0.720010:0.302142:0.711018:0.302142:0.000000
fx:@0.410518:0.318531:0.434677:0.318531:0.434677:0.302170:0.410518:0.302170:0.000000:0.000000
px:@0.460402:0.308905:0.486459:0.308905:0.486459:0.292544:0.460402:0.292544:0.000000:0.000000
qx:@0.460199:0.329457:0.485887:0.329457:0.485887:0.313096:0.460199:0.313096:0.000000:0.000000
qx:@0.505107:0.318531:0.530796:0.318531:0.530796:0.302170:0.505107:0.302170:0.000000:0.000000
gx:@0.571742:0.318531:0.597430:0.318531:0.597430:0.302170:0.571742:0.302170:0.000000:0.000000
rx:@0.622620:0.308905:0.645637:0.308905:0.645637:0.292544:0.622620:0.292544:0.000000:0.000000
sx:@0.622418:0.329457:0.645802:0.329457:0.645802:0.313096:0.622418:0.313096:0.000000:0.000000
sx:@0.664451:0.318531:0.687836:0.318531:0.687836:0.302170:0.664451:0.302170:0.000000:0.000000
•  ,  ,  ,   polinomios reales.:@0.407883:0.353992:0.611249:0.353992:0.611249:0.337603:0.407883:0.337603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q r s:@0.422957:0.353992:0.474886:0.353992:0.474886:0.337631:0.422957:0.337631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.407883:0.370588:0.416470:0.370588:0.416470:0.354199:0.407883:0.354199:0.000000:0.000000
f y g:@0.422957:0.370588:0.451041:0.370588:0.451041:0.354227:0.422957:0.354227:0.000000:0.000000:0.000000:0.000000:0.000000
 dos funciones racionales.:@0.451041:0.370588:0.638538:0.370588:0.638538:0.354199:0.451041:0.354199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.544983:0.389207:0.566359:0.389207:0.566359:0.368806:0.544983:0.368806:0.000000:0.000000
( ):@0.618438:0.389207:0.642060:0.389207:0.642060:0.368806:0.618438:0.368806:0.000000:0.000000:0.000000
() ():@0.520325:0.411681:0.576990:0.411681:0.576990:0.391281:0.520325:0.391281:0.000000:0.000000:0.000000:0.000000:0.000000
() ():@0.603312:0.411681:0.659611:0.411681:0.659611:0.391281:0.603312:0.391281:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.421277:0.398572:0.431393:0.398572:0.431393:0.382999:0.421277:0.382999:0.000000
=:@0.569011:0.387342:0.579128:0.387342:0.579128:0.371769:0.569011:0.371769:0.000000
=:@0.579644:0.409816:0.589761:0.409816:0.589761:0.394243:0.579644:0.394243:0.000000
∀ ∈:@0.674657:0.409816:0.712350:0.409816:0.712350:0.394243:0.674657:0.394243:0.000000:0.000000:0.000000
⎧:@0.499797:0.387383:0.508900:0.387383:0.508900:0.371810:0.499797:0.371810:0.000000
⎨:@0.499797:0.400743:0.508900:0.400743:0.508900:0.385170:0.499797:0.385170:0.000000
⎪:@0.499797:0.390260:0.508900:0.390260:0.508900:0.374687:0.499797:0.374687:0.000000
⎩ ⎪:@0.499797:0.414103:0.508900:0.411780:0.508900:0.396207:0.499797:0.398530:0.000000:0.000000:0.000000
.:@0.444145:0.397908:0.447352:0.397908:0.447352:0.382238:0.444145:0.382238:0.000000
.:@0.475823:0.397908:0.479029:0.397908:0.479029:0.382238:0.475823:0.382238:0.000000
::@0.492942:0.397908:0.496148:0.397908:0.496148:0.382238:0.492942:0.382238:0.000000
,:@0.660670:0.409138:0.663877:0.409138:0.663877:0.393469:0.660670:0.393469:0.000000
...:@0.664798:0.409138:0.674085:0.409138:0.674085:0.393469:0.664798:0.393469:0.000000:0.000000:0.000000
:@0.712231:0.410010:0.725535:0.410010:0.725535:0.393261:0.712231:0.393261:0.000000
f:@0.410533:0.397908:0.415232:0.397908:0.415232:0.382515:0.410533:0.382515:0.000000
g solo si:@0.435400:0.397908:0.489520:0.397908:0.489520:0.382515:0.435400:0.382515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f:@0.508955:0.386678:0.556530:0.386678:0.556530:0.371285:0.508955:0.371285:0.000000:0.000000:0.000000:0.000000:0.000000
Dom g:@0.582404:0.386678:0.635282:0.386678:0.635282:0.371285:0.582404:0.371285:0.000000:0.000000:0.000000:0.000000:0.000000
pxs x:@0.510061:0.409152:0.568783:0.409152:0.568783:0.393759:0.510061:0.393759:0.000000:0.000000:0.000000:0.000000:0.000000
q x r x:@0.593411:0.409152:0.651392:0.409152:0.651392:0.393759:0.593411:0.393759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.687694:0.409152:0.695157:0.409152:0.695157:0.393759:0.687694:0.393759:0.000000
Asíntotas:@0.122474:0.456816:0.197235:0.456816:0.197235:0.439916:0.122474:0.439916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Corresponden a las rectas a las cuales la función se acerca :@0.407937:0.440220:0.876883:0.440220:0.876883:0.423831:0.407937:0.423831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.872792:0.440220:0.876828:0.440220:0.876828:0.423831:0.872792:0.423831:0.000000
indefinidamente. Pueden ser: verticales (paralelas al eje y), hori-:@0.407937:0.456816:0.872752:0.456816:0.872752:0.440428:0.407937:0.440428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
zontales (paralelas al eje x) u oblicuas (inclinadas).:@0.407937:0.473413:0.769966:0.473413:0.769966:0.457024:0.407937:0.457024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115214:0.785687:0.133955:0.785687:0.133955:0.768552:0.115214:0.768552:0.000000:0.000000:0.000000
Sea: :@0.148457:0.785687:0.181645:0.785687:0.181645:0.769298:0.148457:0.769298:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.193049:0.789008:0.216249:0.789008:0.216249:0.769074:0.193049:0.769074:0.000000:0.000000
=:@0.218911:0.786552:0.229028:0.786552:0.229028:0.770979:0.218911:0.770979:0.000000
2:@0.246037:0.777355:0.255029:0.777355:0.255029:0.760966:0.246037:0.760966:0.000000
–4:@0.245872:0.796798:0.267322:0.796798:0.267322:0.780409:0.245872:0.780409:0.000000:0.000000
fx:@0.184254:0.785875:0.208412:0.785875:0.208412:0.769513:0.184254:0.769513:0.000000:0.000000
x:@0.234511:0.796798:0.241974:0.796798:0.241974:0.780437:0.234511:0.780437:0.000000
a) :@0.148451:0.816538:0.167173:0.816538:0.167173:0.799637:0.148451:0.799637:0.000000:0.000000:0.000000
Halla:@0.181694:0.816538:0.220171:0.816538:0.220171:0.799914:0.181694:0.799914:0.000000:0.000000:0.000000:0.000000:0.000000
 el :@0.220171:0.816538:0.241086:0.816538:0.241086:0.800149:0.220171:0.800149:0.000000:0.000000:0.000000:0.000000
Dom f:@0.241086:0.816538:0.286308:0.816538:0.286308:0.800177:0.241086:0.800177:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.276725:0.816538:0.294397:0.816538:0.294397:0.800149:0.276725:0.800149:0.000000:0.000000:0.000000:0.000000
 :@0.148451:0.845955:0.152265:0.845955:0.152265:0.829054:0.148451:0.829054:0.000000
b) :@0.148451:0.873238:0.168481:0.873238:0.168481:0.856338:0.148451:0.856338:0.000000:0.000000:0.000000
Halla:@0.181694:0.873238:0.220171:0.873238:0.220171:0.856614:0.181694:0.856614:0.000000:0.000000:0.000000:0.000000:0.000000
 las asíntotas.:@0.220171:0.873238:0.315681:0.873238:0.315681:0.856849:0.220171:0.856849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148451:0.925102:0.152265:0.925102:0.152265:0.908201:0.148451:0.908201:0.000000
c) :@0.540917:0.773616:0.558553:0.773616:0.558553:0.756715:0.540917:0.756715:0.000000:0.000000:0.000000
Para   < 4 :@0.574161:0.773616:0.647558:0.773616:0.647558:0.757227:0.574161:0.757227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.608713:0.773616:0.616176:0.773616:0.616176:0.757255:0.608713:0.757255:0.000000
calcula:@0.647208:0.773616:0.700335:0.773616:0.700335:0.756992:0.647208:0.756992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los valores de  ( ) que se :@0.700335:0.773616:0.883929:0.773616:0.883929:0.757227:0.700335:0.757227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.806073:0.773616:0.823118:0.773616:0.823118:0.757255:0.806073:0.757255:0.000000:0.000000:0.000000
plantean a continuación.:@0.574161:0.790212:0.756115:0.790212:0.756115:0.773823:0.574161:0.773823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.810377:0.544953:0.810377:0.544953:0.793988:0.540917:0.793988:0.000000
f:@0.574161:0.810377:0.578860:0.810377:0.578860:0.794016:0.574161:0.794016:0.000000
(3),  (2),  (– 2),  (– 4):@0.578860:0.810377:0.716219:0.810377:0.716219:0.793988:0.578860:0.793988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.604861:0.810377:0.609560:0.810377:0.609560:0.794016:0.604861:0.794016:0.000000
f:@0.635562:0.810377:0.640261:0.810377:0.640261:0.794016:0.635562:0.794016:0.000000
f:@0.679512:0.810377:0.684211:0.810377:0.684211:0.794016:0.679512:0.794016:0.000000
 :@0.540917:0.915792:0.544732:0.915792:0.544732:0.898891:0.540917:0.898891:0.000000
0:@0.710795:0.605068:0.714816:0.605068:0.714816:0.598414:0.710795:0.598414:0.000000
1:@0.705182:0.578935:0.709204:0.578935:0.709204:0.572281:0.705182:0.572281:0.000000
2:@0.705182:0.558949:0.709204:0.558949:0.709204:0.552295:0.705182:0.552295:0.000000
3:@0.705182:0.538399:0.709204:0.538399:0.709204:0.531745:0.705182:0.531745:0.000000
4:@0.705182:0.518413:0.709204:0.518413:0.709204:0.511759:0.705182:0.511759:0.000000
5:@0.705182:0.498293:0.709204:0.498293:0.709204:0.491639:0.705182:0.491639:0.000000
y:@0.719858:0.491227:0.723550:0.491227:0.723550:0.484573:0.719858:0.484573:0.000000
x:@0.857258:0.593507:0.860887:0.593507:0.860887:0.586853:0.857258:0.586853:0.000000
–1:@0.696246:0.619759:0.704187:0.619759:0.704187:0.613105:0.696246:0.613105:0.000000:0.000000
–1:@0.684354:0.606462:0.692295:0.606462:0.692295:0.599809:0.684354:0.599809:0.000000:0.000000
–2:@0.657929:0.606462:0.665870:0.606462:0.665870:0.599809:0.657929:0.599809:0.000000:0.000000
–3:@0.628854:0.606462:0.636795:0.606462:0.636795:0.599809:0.628854:0.599809:0.000000:0.000000
–2:@0.696246:0.640080:0.704187:0.640080:0.704187:0.633426:0.696246:0.633426:0.000000:0.000000
–3:@0.696246:0.660536:0.704187:0.660536:0.704187:0.653882:0.696246:0.653882:0.000000:0.000000
–4:@0.603898:0.606465:0.611839:0.606465:0.611839:0.599811:0.603898:0.599811:0.000000:0.000000
–5:@0.575908:0.606465:0.583849:0.606465:0.583849:0.599811:0.575908:0.599811:0.000000:0.000000
5:@0.849520:0.606466:0.853541:0.606466:0.853541:0.599812:0.849520:0.599812:0.000000
4:@0.821895:0.606466:0.825917:0.606466:0.825917:0.599812:0.821895:0.599812:0.000000
3:@0.795721:0.606466:0.799743:0.606466:0.799743:0.599812:0.795721:0.599812:0.000000
2:@0.768583:0.606466:0.772604:0.606466:0.772604:0.599812:0.768583:0.599812:0.000000
1:@0.741750:0.606466:0.745771:0.606466:0.745771:0.599812:0.741750:0.599812:0.000000
x:@0.754711:0.557648:0.760818:0.557648:0.760818:0.544262:0.754711:0.544262:0.000000
 = 1:@0.760818:0.557648:0.783765:0.557648:0.783765:0.544239:0.760818:0.544239:0.000000:0.000000:0.000000:0.000000
y:@0.634818:0.570650:0.640939:0.570650:0.640939:0.557263:0.634818:0.557263:0.000000
 = 1:@0.640939:0.570650:0.663887:0.570650:0.663887:0.557241:0.640939:0.557241:0.000000:0.000000:0.000000:0.000000
Asíntota vertical   = 4;:@0.186710:0.901485:0.347268:0.901485:0.347268:0.885096:0.186710:0.885096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.308551:0.901485:0.316015:0.901485:0.316015:0.885124:0.308551:0.885124:0.000000
Asíntota horizontal   = 0:@0.186710:0.924111:0.365014:0.924111:0.365014:0.907722:0.186710:0.907722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.329485:0.924111:0.336967:0.924111:0.336967:0.907750:0.329485:0.907750:0.000000
:@0.263653:0.842115:0.276958:0.842115:0.276958:0.825367:0.263653:0.825367:0.000000
():@0.227373:0.844376:0.247956:0.844376:0.247956:0.824442:0.227373:0.824442:0.000000:0.000000
{}:@0.290928:0.843687:0.318367:0.843687:0.318367:0.825311:0.290928:0.825311:0.000000:0.000000
=:@0.250617:0.841921:0.260733:0.841921:0.260733:0.826349:0.250617:0.826349:0.000000
–4:@0.279987:0.841244:0.309398:0.841244:0.309398:0.824855:0.279987:0.824855:0.000000:0.000000
Domf:@0.190936:0.841244:0.238516:0.841244:0.238516:0.824882:0.190936:0.824882:0.000000:0.000000:0.000000:0.000000
():@0.587670:0.852576:0.608991:0.852576:0.608991:0.832642:0.587670:0.832642:0.000000:0.000000
():@0.656405:0.852576:0.678150:0.852576:0.678150:0.832642:0.656405:0.832642:0.000000:0.000000
( ):@0.722837:0.852576:0.754164:0.852576:0.754164:0.832642:0.722837:0.832642:0.000000:0.000000:0.000000
( ):@0.806701:0.852576:0.838746:0.852576:0.838746:0.832642:0.806701:0.832642:0.000000:0.000000:0.000000
=:@0.611648:0.850122:0.621764:0.850122:0.621764:0.834549:0.611648:0.834549:0.000000
=:@0.680807:0.850122:0.690923:0.850122:0.690923:0.834549:0.680807:0.834549:0.000000
=:@0.756817:0.850122:0.766934:0.850122:0.766934:0.834549:0.756817:0.834549:0.000000
=:@0.841418:0.850122:0.851535:0.850122:0.851535:0.834549:0.841418:0.834549:0.000000
3:@0.594110:0.849444:0.603102:0.849444:0.603102:0.833055:0.594110:0.833055:0.000000
–2, 2:@0.624681:0.849444:0.671837:0.849444:0.671837:0.833055:0.624681:0.833055:0.000000:0.000000:0.000000:0.000000:0.000000
–1, –2:@0.693840:0.849444:0.747851:0.849444:0.747851:0.833055:0.693840:0.833055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– ,–4:@0.769854:0.849444:0.831720:0.849444:0.831720:0.833055:0.769854:0.833055:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.782569:0.840924:0.791562:0.840924:0.791562:0.824535:0.782569:0.824535:0.000000
3:@0.781998:0.860367:0.790990:0.860367:0.790990:0.843978:0.781998:0.843978:0.000000
–:@0.854460:0.849444:0.863674:0.849444:0.863674:0.833055:0.854460:0.833055:0.000000
1:@0.868115:0.840918:0.877108:0.840918:0.877108:0.824529:0.868115:0.824529:0.000000
4:@0.867331:0.860367:0.876324:0.860367:0.876324:0.843978:0.867331:0.843978:0.000000
f:@0.578875:0.849444:0.583574:0.849444:0.583574:0.833083:0.578875:0.833083:0.000000
f:@0.647610:0.849444:0.652309:0.849444:0.652309:0.833083:0.647610:0.833083:0.000000
f:@0.714047:0.849444:0.718746:0.849444:0.718746:0.833083:0.714047:0.833083:0.000000
f:@0.797911:0.849444:0.802610:0.849444:0.802610:0.833083:0.797911:0.833083:0.000000