Answer
Domain: $-\infty< x< \infty$
Range: $-\infty< y< \infty$
Work Step by Step
Given
\begin{equation}
f(x)=-2 \sqrt[3]{x}.
\end{equation} The domain and range of an odd index radical function are all real numbers. Therefore we have: \begin{equation}
\begin{aligned}
\textbf{Domain :}\quad & -\infty< x< \infty\\
\textbf{Range :}\quad & -\infty< y< \infty\\\\
\end{aligned}
\end{equation}