#### 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 $2^{3}=8$.