Answer
Domain: $(-\infty,\infty)$
Range: $(-\infty,\infty)$
Work Step by Step
Since the function is a cubic function the domain is $(-\infty,\infty)$
The function range is also $(-\infty,\infty)$ because all negative x values stay negative extending the range to negative infinity and because all positive x values stay positive extend the range to infinity.