Answer
See graph
Domain: $(-\infty,\infty)$
Range: $(-\infty,\infty)$
Work Step by Step
We are given the function:
$f(x)=-\sqrt[3] x$
We start with the basic function $a(x)=\sqrt[3] x$.
We reflect $a(x)$ about the $x$-axis to get $f(x)=-\sqrt[3] x$.
We use 3 points: $(-1,1),(0,0),(1,-1)$
The domain of $f$ is:
$D=(-\infty,\infty)$
The range of $f$ is:
$R=(-\infty,\infty)$