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Analisis Grafico 3 Ejercicios
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Transcript of Analisis Grafico 3 Ejercicios
![Page 1: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/1.jpg)
Análisis Gráfico de Funciones
(Resultados de Ejercicios)
![Page 2: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/2.jpg)
Resultados de ejercicios para practicar:
![Page 3: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/3.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
![Page 4: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/4.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
![Page 5: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/5.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
X1 = −2
Ceros: X2 = 0
X3 = 3
![Page 6: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/6.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
X1 = −2
Ceros: X2 = 0
C+ = (−2; 0) U (3; ∞)
X3 = 3
![Page 7: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/7.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
X1 = −2
Ceros: X2 = 0
C+ = (−2; 0) U (3; ∞)
C− = (−∞; −2) U (0; 3)
X3 = 3
![Page 8: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/8.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
X1 = −2
Ceros: X2 = 0
C+ = (−2; 0) U (3; ∞)
C− = (−∞; −2) U (0; 3)
Máx. Rel. = (−1,2; 1,4)
X3 = 3
![Page 9: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/9.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
X1 = −2
Ceros: X2 = 0
C+ = (−2; 0) U (3; ∞)
C− = (−∞; −2) U (0; 3)
Máx. Rel. = (−1,2; 1,4)
Mín. Rel. = (1,8; −2,7)
X3 = 3
![Page 10: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/10.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
X1 = −2
Ceros: X2 = 0
C+ = (−2; 0) U (3; ∞)
C− = (−∞; −2) U (0; 3)
Máx. Rel. = (−1,2; 1,4)
Mín. Rel. = (1,8; −2,7)
I.C. = (−∞; −1,2) U (1,8; ∞)
X3 = 3
![Page 11: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/11.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
X1 = −2
Ceros: X2 = 0
C+ = (−2; 0) U (3; ∞)
C− = (−∞; −2) U (0; 3)
Máx. Rel. = (−1,2; 1,4)
Mín. Rel. = (1,8; −2,7)
I.C. = (−∞; −1,2) U (1,8; ∞)
I.D. = (−1,2; 1,8)X3 = 3
![Page 12: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/12.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
X1 = −2
Ceros: X2 = 0
C+ = (−2; 0) U (3; ∞)
C− = (−∞; −2) U (0; 3)
Máx. Rel. = (−1,2; 1,4)
Mín. Rel. = (1,8; −2,7)
I.C. = (−∞; −1,2) U (1,8; ∞)
I.D. = (−1,2; 1,8)
f(0) = 0
X3 = 3
![Page 13: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/13.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
X1 = −2
Ceros: X2 = 0
C+ = (−2; 0) U (3; ∞)
C− = (−∞; −2) U (0; 3)
Máx. Rel. = (−1,2; 1,4)
Mín. Rel. = (1,8; −2,7)
I.C. = (−∞; −1,2) U (1,8; ∞)
I.D. = (−1,2; 1,8)
Máx. Abs. No tiene
Mín. Abs. No tiene
f(0) = 0
X3 = 3
![Page 14: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/14.jpg)
Resultados de ejercicios para practicar:
Df = R = (−∞; ∞)
If = R = (−∞; ∞)
X1 = −2
Ceros: X2 = 0
C+ = (−2; 0) U (3; ∞)
C− = (−∞; −2) U (0; 3)
Máx. Rel. = (−1,2; 1,4)
Mín. Rel. = (1,8; −2,7)
I.C. = (−∞; −1,2) U (1,8; ∞)
I.D. = (−1,2; 1,8)
Máx. Abs. No tiene
Mín. Abs. No tiene Asíntotas: No tiene
f(0) = 0
X3 = 3
![Page 15: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/15.jpg)
![Page 16: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/16.jpg)
Df = R = (−∞; ∞)
![Page 17: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/17.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
![Page 18: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/18.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
X1 = −3
Ceros: X2 = 0
X3 = 3
![Page 19: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/19.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
C+ = (−∞; −3) U (3; ∞)
X1 = −3
Ceros: X2 = 0
X3 = 3
![Page 20: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/20.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
C+ = (−∞; −3) U (3; ∞)
C− = (−3; 0) U (0; 3)
X1 = −3
Ceros: X2 = 0
X3 = 3
![Page 21: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/21.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
C+ = (−∞; −3) U (3; ∞)
C− = (−3; 0) U (0; 3)
Máx. Rel. = (0; 0)
X1 = −3
Ceros: X2 = 0
X3 = 3
![Page 22: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/22.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
C+ = (−∞; −3) U (3; ∞)
C− = (−3; 0) U (0; 3)
Máx. Rel. = (0; 0)
{(-2,2; -2,5),(2,2; -2,5)}Mín. Rel. =
X1 = −3
Ceros: X2 = 0
X3 = 3
![Page 23: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/23.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
C+ = (−∞; −3) U (3; ∞)
C− = (−3; 0) U (0; 3)
Máx. Rel. = (0; 0)
{(-2,2; -2,5),(2,2; -2,5)}
I.C. = (-2,2; 0) U (2,2; ∞)
Mín. Rel. =
X1 = −3
Ceros: X2 = 0
X3 = 3
![Page 24: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/24.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
C+ = (−∞; −3) U (3; ∞)
C− = (−3; 0) U (0; 3)
Máx. Rel. = (0; 0)
{(-2,2; -2,5),(2,2; -2,5)}
I.C. = (-2,2; 0) U (2,2; ∞)
I.D. = (-∞; -2,2) U (0; 2,2)
Mín. Rel. =
X1 = −3
Ceros: X2 = 0
X3 = 3
![Page 25: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/25.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
C+ = (−∞; −3) U (3; ∞)
C− = (−3; 0) U (0; 3)
Máx. Rel. = (0; 0)
{(-2,2; -2,5),(2,2; -2,5)}
I.C. = (-2,2; 0) U (2,2; ∞)
I.D. = (-∞; -2,2) U (0; 2,2)
Mín. Rel. =
f(0) = 0
X1 = −3
Ceros: X2 = 0
X3 = 3
![Page 26: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/26.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
C+ = (−∞; −3) U (3; ∞)
C− = (−3; 0) U (0; 3)
Máx. Rel. = (0; 0)
{(-2,2; -2,5),(2,2; -2,5)}
I.C. = (-2,2; 0) U (2,2; ∞)
I.D. = (-∞; -2,2) U (0; 2,2)
Máx. Abs. No tiene
Mín. Abs. -2,5
Mín. Rel. =
f(0) = 0
X1 = −3
Ceros: X2 = 0
X3 = 3
![Page 27: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/27.jpg)
Df = R = (−∞; ∞)
If = [−2,5; ∞)
C+ = (−∞; −3) U (3; ∞)
C− = (−3; 0) U (0; 3)
Máx. Rel. = (0; 0)
{(-2,2; -2,5),(2,2; -2,5)}
I.C. = (-2,2; 0) U (2,2; ∞)
I.D. = (-∞; -2,2) U (0; 2,2)
Máx. Abs. No tiene
Mín. Abs. -2,5 Asíntotas: No tiene
Mín. Rel. =
f(0) = 0
X1 = −3
Ceros: X2 = 0
X3 = 3
![Page 28: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/28.jpg)
![Page 29: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/29.jpg)
Df = R = (−∞; ∞)
![Page 30: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/30.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
![Page 31: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/31.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
X1 = −1Ceros:
![Page 32: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/32.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
X1 = −1Ceros:
C+ = (-1; ∞)
![Page 33: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/33.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
X1 = −1Ceros:
C+ = (-1; ∞)
C- = (-∞; -1)
![Page 34: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/34.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
X1 = −1Ceros:
C+ = (-1; ∞)
C- = (-∞; -1)
Máx. Rel. No tiene
![Page 35: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/35.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
X1 = −1Ceros:
C+ = (-1; ∞)
C- = (-∞; -1)
Máx. Rel. No tiene
(-2,5; -0,8)Mín. Rel. =
![Page 36: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/36.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
X1 = −1Ceros:
C+ = (-1; ∞)
C- = (-∞; -1)
Máx. Rel. No tiene
(-2,5; -0,8)
I.C. = (-2,5; ∞)
Mín. Rel. =
![Page 37: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/37.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
X1 = −1Ceros:
C+ = (-1; ∞)
C- = (-∞; -1)
Máx. Rel. No tiene
(-2,5; -0,8)
I.C. = (-2,5; ∞)
I.D. = (-∞; -2,5)
Mín. Rel. =
![Page 38: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/38.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
X1 = −1Ceros:
C+ = (-1; ∞)
C- = (-∞; -1)
Máx. Rel. No tiene
(-2,5; -0,8)
I.C. = (-2,5; ∞)
I.D. = (-∞; -2,5)
Mín. Rel. =
f(0) = 3
![Page 39: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/39.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
X1 = −1Ceros:
C+ = (-1; ∞)
C- = (-∞; -1)
Máx. Rel. No tiene
(-2,5; -0,8)
I.C. = (-2,5; ∞)
I.D. = (-∞; -2,5)
Máx. Abs. No tiene
Mín. Abs.= -0,8
Mín. Rel. =
f(0) = 3
![Page 40: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/40.jpg)
Df = R = (−∞; ∞)
If = [−0,8; ∞)
X1 = −1Ceros:
C+ = (-1; ∞)
C- = (-∞; -1)
Máx. Rel. No tiene
(-2,5; -0,8)
I.C. = (-2,5; ∞)
I.D. = (-∞; -2,5)
Máx. Abs. No tiene
Mín. Abs.= -0,8 Asíntota Horizontal y = 0
Mín. Rel. =
f(0) = 3
![Page 41: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/41.jpg)
![Page 42: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/42.jpg)
Df = R – { 3 }
![Page 43: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/43.jpg)
Df = R – { 3 }
If = R – { 1 }
![Page 44: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/44.jpg)
Df = R – { 3 }
If = R – { 1 }
X1 = 2,5Ceros:
![Page 45: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/45.jpg)
Df = R – { 3 }
If = R – { 1 }
X1 = 2,5Ceros:
C+ = (−∞; 2,5) U (3; ∞)
![Page 46: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/46.jpg)
Df = R – { 3 }
If = R – { 1 }
X1 = 2,5Ceros:
C+ = (−∞; 2,5) U (3; ∞)
C− = (2,5; 3)
![Page 47: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/47.jpg)
Df = R – { 3 }
If = R – { 1 }
X1 = 2,5Ceros:
C+ = (−∞; 2,5) U (3; ∞)
C− = (2,5; 3)
Máx. Rel. = No tiene
![Page 48: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/48.jpg)
Df = R – { 3 }
If = R – { 1 }
X1 = 2,5Ceros:
C+ = (−∞; 2,5) U (3; ∞)
C− = (2,5; 3)
Máx. Rel. = No tieneNo tieneMín. Rel. =
![Page 49: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/49.jpg)
Df = R – { 3 }
If = R – { 1 }
X1 = 2,5Ceros:
C+ = (−∞; 2,5) U (3; ∞)
C− = (2,5; 3)
Máx. Rel. = No tieneNo tiene
I.C. = No tiene
Mín. Rel. =
![Page 50: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/50.jpg)
Df = R – { 3 }
If = R – { 1 }
X1 = 2,5Ceros:
C+ = (−∞; 2,5) U (3; ∞)
C− = (2,5; 3)
Máx. Rel. = No tieneNo tiene
I.C. = No tiene
I.D. = (-∞; 3) U (3; ∞)
Mín. Rel. =
![Page 51: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/51.jpg)
Df = R – { 3 }
If = R – { 1 }
X1 = 2,5Ceros:
C+ = (−∞; 2,5) U (3; ∞)
C− = (2,5; 3)
Máx. Rel. = No tieneNo tiene
I.C. = No tiene
I.D. = (-∞; 3) U (3; ∞)
Mín. Rel. =
f(0) = 0,8
![Page 52: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/52.jpg)
Df = R – { 3 }
If = R – { 1 }
X1 = 2,5Ceros:
C+ = (−∞; 2,5) U (3; ∞)
C− = (2,5; 3)
Máx. Rel. = No tieneNo tiene
I.C. = No tiene
I.D. = (-∞; 3) U (3; ∞)
Máx. Abs. No tiene
Mín. Abs. No tiene
Mín. Rel. =
f(0) = 0,8
![Page 53: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/53.jpg)
Df = R – { 3 }
If = R – { 1 }
X1 = 2,5Ceros:
C+ = (−∞; 2,5) U (3; ∞)
C− = (2,5; 3)
Máx. Rel. = No tieneNo tiene
I.C. = No tiene
I.D. = (-∞; 3) U (3; ∞)
Máx. Abs. No tiene
Mín. Abs. No tiene
Mín. Rel. =
f(0) = 0,8
Asíntota Vertical x = 3
Asíntota Horizontal y = 1
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Df = R – {-2; 4}
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Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
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Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
Ceros: No tiene
![Page 58: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/58.jpg)
Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
Ceros: No tiene
C+ = (−∞; −2) U (4; ∞)
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Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
Ceros: No tiene
C+ = (−∞; −2) U (4; ∞)
C− = (−2; 4)
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Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
Ceros: No tiene
C+ = (−∞; −2) U (4; ∞)
C− = (−2; 4)
Máx. Rel. = (1; -0,9)
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Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
Ceros: No tiene
C+ = (−∞; −2) U (4; ∞)
C− = (−2; 4)
Máx. Rel. = (1; -0,9)
Mín. Rel. = No tiene
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Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
Ceros: No tiene
C+ = (−∞; −2) U (4; ∞)
C− = (−2; 4)
Máx. Rel. = (1; -0,9)
I.C. = (-∞; -2) U (-2; 1)
Mín. Rel. = No tiene
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Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
Ceros: No tiene
C+ = (−∞; −2) U (4; ∞)
C− = (−2; 4)
Máx. Rel. = (1; -0,9)
I.C. = (-∞; -2) U (-2; 1)
I.D. = (1; 4) U (4; ∞)
Mín. Rel. = No tiene
![Page 64: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/64.jpg)
Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
Ceros: No tiene
C+ = (−∞; −2) U (4; ∞)
C− = (−2; 4)
Máx. Rel. = (1; -0,9)
I.C. = (-∞; -2) U (-2; 1)
I.D. = (1; 4) U (4; ∞)
Mín. Rel. = No tiene
f(0) = -1
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Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
Ceros: No tiene
C+ = (−∞; −2) U (4; ∞)
C− = (−2; 4)
Máx. Rel. = (1; -0,9)
I.C. = (-∞; -2) U (-2; 1)
I.D. = (1; 4) U (4; ∞)
Máx. Abs. No tiene
Mín. Abs. No tiene
Mín. Rel. = No tiene
f(0) = -1
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Df = R – {-2; 4}
If = (-∞; -0,9] U (0; ∞)
Ceros: No tiene
C+ = (−∞; −2) U (4; ∞)
C− = (−2; 4)
Máx. Rel. = (1; -0,9)
I.C. = (-∞; -2) U (-2; 1)
I.D. = (1; 4) U (4; ∞)
Máx. Abs. No tiene
Mín. Abs. No tiene
Mín. Rel. = No tiene
f(0) = -1
Asíntotas Verticales x = -2 ∧ x = 4
Asíntota Horizontal y = 0
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Df = (0; ∞)
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Df = (0; ∞)
If = R = (-∞; ∞)
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Df = (0; ∞)
If = R = (-∞; ∞)
X1 = 1Ceros:
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Df = (0; ∞)
If = R = (-∞; ∞)
X1 = 1Ceros:
C+ = (1; ∞)
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Df = (0; ∞)
If = R = (-∞; ∞)
X1 = 1Ceros:
C+ = (1; ∞)
C- = (0; 1)
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Df = (0; ∞)
If = R = (-∞; ∞)
X1 = 1Ceros:
C+ = (1; ∞)
C- = (0; 1)
Máx. Rel. = No tiene
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Df = (0; ∞)
If = R = (-∞; ∞)
X1 = 1Ceros:
C+ = (1; ∞)
C- = (0; 1)
Máx. Rel. = No tieneMín. Rel. = No tiene
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Df = (0; ∞)
If = R = (-∞; ∞)
X1 = 1Ceros:
C+ = (1; ∞)
C- = (0; 1)
Máx. Rel. = No tiene
I.C. = (0; ∞)
Mín. Rel. = No tiene
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Df = (0; ∞)
If = R = (-∞; ∞)
X1 = 1Ceros:
C+ = (1; ∞)
C- = (0; 1)
Máx. Rel. = No tiene
I.C. = (0; ∞)I.D. = No tiene
Mín. Rel. = No tiene
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Df = (0; ∞)
If = R = (-∞; ∞)
X1 = 1Ceros:
C+ = (1; ∞)
C- = (0; 1)
Máx. Rel. = No tiene
I.C. = (0; ∞)I.D. = No tiene
Mín. Rel. = No tiene
f(0) = No existe
![Page 78: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/78.jpg)
Df = (0; ∞)
If = R = (-∞; ∞)
X1 = 1Ceros:
C+ = (1; ∞)
C- = (0; 1)
Máx. Rel. = No tiene
I.C. = (0; ∞)I.D. = No tiene
Máx. Abs. No tiene
Mín. Abs. No tiene
Mín. Rel. = No tiene
f(0) = No existe
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Df = (0; ∞)
If = R = (-∞; ∞)
X1 = 1Ceros:
C+ = (1; ∞)
C- = (0; 1)
Máx. Rel. = No tiene
I.C. = (0; ∞)I.D. = No tiene
Máx. Abs. No tiene
Mín. Abs. No tiene Asíntota Vertical: x = 0
Mín. Rel. = No tiene
f(0) = No existe
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Df = R = (−∞; ∞)
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Df = R = (−∞; ∞)
If = [-2,5; 2,5]
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Df = R = (−∞; ∞)
If = [-2,5; 2,5]
X1 = 0Ceros:
![Page 84: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/84.jpg)
Df = R = (−∞; ∞)
If = [-2,5; 2,5]
X1 = 0Ceros:
C+ = (0; ∞)
![Page 85: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/85.jpg)
Df = R = (−∞; ∞)
If = [-2,5; 2,5]
X1 = 0Ceros:
C+ = (0; ∞)
C- = (−∞; 0)
![Page 86: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/86.jpg)
Df = R = (−∞; ∞)
If = [-2,5; 2,5]
X1 = 0Ceros:
C+ = (0; ∞)
C- = (−∞; 0)
Máx. Rel. = (0,4; 2,5)
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Df = R = (−∞; ∞)
If = [-2,5; 2,5]
X1 = 0Ceros:
C+ = (0; ∞)
C- = (−∞; 0)
Máx. Rel. = (0,4; 2,5)
Mín. Rel. = (-0,4; -2,5)
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Df = R = (−∞; ∞)
If = [-2,5; 2,5]
X1 = 0Ceros:
C+ = (0; ∞)
C- = (−∞; 0)
Máx. Rel. = (0,4; 2,5)
I.C. = (-0,4; 0,4)
Mín. Rel. = (-0,4; -2,5)
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Df = R = (−∞; ∞)
If = [-2,5; 2,5]
X1 = 0Ceros:
C+ = (0; ∞)
C- = (−∞; 0)
Máx. Rel. = (0,4; 2,5)
I.C. = (-0,4; 0,4)
I.D. = (-∞; -0,4) U (0,4; ∞)
Mín. Rel. = (-0,4; -2,5)
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Df = R = (−∞; ∞)
If = [-2,5; 2,5]
X1 = 0Ceros:
C+ = (0; ∞)
C- = (−∞; 0)
Máx. Rel. = (0,4; 2,5)
I.C. = (-0,4; 0,4)
I.D. = (-∞; -0,4) U (0,4; ∞)
Mín. Rel. = (-0,4; -2,5)
f(0) = 0
![Page 91: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/91.jpg)
Df = R = (−∞; ∞)
If = [-2,5; 2,5]
X1 = 0Ceros:
C+ = (0; ∞)
C- = (−∞; 0)
Máx. Rel. = (0,4; 2,5)
I.C. = (-0,4; 0,4)
I.D. = (-∞; -0,4) U (0,4; ∞)
Máx. Abs. = 2,5
Mín. Abs. = -2,5
Mín. Rel. = (-0,4; -2,5)
f(0) = 0
![Page 92: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/92.jpg)
Df = R = (−∞; ∞)
If = [-2,5; 2,5]
X1 = 0Ceros:
C+ = (0; ∞)
C- = (−∞; 0)
Máx. Rel. = (0,4; 2,5)
I.C. = (-0,4; 0,4)
I.D. = (-∞; -0,4) U (0,4; ∞)
Máx. Abs. = 2,5
Mín. Abs. = -2,5 Asíntota Horizontal: y = 0
Mín. Rel. = (-0,4; -2,5)
f(0) = 0
![Page 93: Analisis Grafico 3 Ejercicios](https://reader030.fdocuments.net/reader030/viewer/2022013115/559652661a28ab55678b4571/html5/thumbnails/93.jpg)
Fin de la presentación