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Matemáticas_3ºESO_UD12_Quiz Funciones Elementales

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Matemáticas_3ºESO_UD12_Quiz Funciones Elementales

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Funciones básicas

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McGraw Hill
McGraw Hill
Spain

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Matemáticas_3ºESO_UD12_Quiz Funciones Elementales
 

Matemáticas_3ºESO_UD12_Quiz Funciones ElementalesOnline version

Funciones básicas

by McGraw Hill
1

1) ¿Qué forma tiene la gráfica de y = x^2?

2

2) ¿Cuál es la pendiente y la ordenada en el origen de y = 2x + 3?

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3) ¿Dónde está el vértice de y = x^2?

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4) ¿Qué describe una asíntota de y = k/x?

5

5) Diferencia entre función lineal y afín:

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6) ¿Qué es una función definida a trozos?

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7) Representación gráfica de funciones cuadráticas:

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8) Dominio de y = sqrt(x) (solo x ≥ 0)

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9) Crecimiento o decrecimiento de funciones elementales:

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10) Problema aplicado típico: función lineal para coste C=5x+20. ¿Costo si x=10?

Explicación

La función cuadrática genera una parábola.

La pendiente es el coeficiente de x y la ordenada al origen es el término independiente.

Para y = x^2, el vértice es el origen.

Las funciones y = k/x tienen asíntotas vertical en x0 y horizontal en y0.

Función lineal suele ser b=0; afín permite desplazamiento vertical.

Se usan piezas para distintos rangos de x.

Las cuadráticas dan parábolas según el coeficiente de x^2.

La raíz no está definida para x<0.

El crecimiento se estudia por la derivada o comportamiento monotónico.

Aplicar C=5·10+20 = 70.

 
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