Answer
See graph
Domain: $(-\infty,\infty)$
Range: $(-\infty,\infty)$
Work Step by Step
We are given the function:
$g(x)=x^3-1$
We start with the basic function $a(x)=x^3$. We vertically shift $a(x)$ one unit downwards to get $g(x)=x^3-1$.
We use 3 points: $(-1,-2),(0,-1),(1,0)$
The domain of $g$ is:
$D=(-\infty,\infty)$
The range of $g$ is:
$R=(-\infty,\infty)$
