Answer
See graph (red).
domain $(-\infty,\infty)$, range $(-\infty,\infty)$.
Work Step by Step
Step 1. To obtain the graph of $h(x)=-x^3+2$ from $y=x^3$, reflect the curve across the x-axis, then shift 2 units up. See graph (red).
Step 2. We can find the domain $(-\infty,\infty)$ and the range $(-\infty,\infty)$.
