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Funciones Reales y Propiedades: Verdad o Mentira

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Funciones Reales y Propiedades: Verdad o Mentira

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Quiz sobre funciones reales

Created by

Jostin Sanchez
Jostin Sanchez
Ecuador

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Funciones Reales y Propiedades: Verdad o Mentira
 

Funciones Reales y Propiedades: Verdad o MentiraOnline version

Quiz sobre funciones reales

by Jostin Sanchez
1

Toda función real derivable en R puede tener un salto en algún punto.

2

Una función continua en un intervalo cerrado [a,b] es acotada.

3

Si f es continua en R y acotada, entonces tiene límite en ±∞ (existente).

4

Si f es continua en R y f(x)>0 para todo x, entonces f es acotada.

5

Una función real f: A ⊆ R → R asigna a cada x ∈ A exactamente un valor f(x) ∈ R.

6

Si f(x)=x^2 con dominio R, entonces f no es inyectiva.

7

Una función lineal f(x)=ax+b con a>0 es estrictamente creciente en R.

8

Una función continua en R que es inyectiva debe ser creciente en todo R.

9

Existe una función f: R→R continua en R que es inyectiva y no es creciente en ningún intervalo.

10

El límite de f(x)=1/x al tender a 0 existe.

 
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