## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 7 - Section 7.1 - Radicals and Radical Functions - Vocabulary, Readiness & Video Check - Page 416: 6

#### Answer

$(-∞,∞)$

#### Work Step by Step

The function $f(x)=\sqrt[3] x$ is the cube root function. We can take the square root of any real number $x$, because each real number $x$ has a number $a$ such that $a^{3}=x$. In this case, $\sqrt[3] x=a$. For example, $\sqrt[3] -1=-1$, because $(-1)^{3}=-1$. Also, $\sqrt[3] 0=3$, because $0^{3}=0$. Also, $\sqrt[3] 8=2$, because $2^{3}=8$.

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