Determining Whether a Piecewise Function Is Continuous

Determine whether the function below is continuous. If it is not, state the location and type of each discontinuity.

$$f\left(x\right)=\{\begin{array}{cc}sin\left(x\right),& x<0\\ x^3,& x>0\end{array}$$

OpenStax, Precalculus 2e · §12.3 Continuity · Example 5