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Dominio y rango: reto rápido

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Dominio y rango: reto rápido

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Dominio y rango en funciones

Created by

Mary Lisbeth Moreno Reátegui
Mary Lisbeth Moreno Reátegui
Venezuela

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Dominio y rango: reto rápido
 

Dominio y rango: reto rápidoOnline version

Dominio y rango en funciones

by Mary Lisbeth Moreno Reátegui
1

¿Cuál es el dominio de f(x)=√(x-2)?

2

¿Qué es el rango de f(x)=√(x-2) si el dominio es x≥2?

3

¿Dominio de f(x)=1/(x-5)?

4

¿Rango de f(x)=1/(x-5) si x ≠5?

5

Dominio de f(x)=log(x-1)?

6

Rango de f(x)=log(x-1) con dominio x>1?

7

Dominio de f(x)=√(2-x)?

8

Rango de f(x)=√(2-x) con dominio x ≤ 2?

9

Dominio de f(x)=x^2+3x?

10

Rango de f(x)=x^2+3x?

Explicación

La raíz requiere argumento ≥ 0; x-2 ≥0.

La raíz cuadrada nunca es negativa.

La división por cero no está definida.

La función nunca toma 0.

El logaritmo requiere argumento > 0.

El logaritmo puede tomar cualquier real.

La raíz requiere 2-x ≥ 0.

La raíz da valores entre 0 y √2.

Polinomio de grado 2 está definido para cualquier x.

Complejo para completar el cuadrado: x^2+3x=(x+3/2)^2-9/4; mínimo -9/4.

 
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