Answer
See graph
Work Step by Step
Given \begin{equation}
h(x)=\sqrt[5]{2 x}.
\end{equation} This is an odd root function because the index, $n=3$, is odd. The domain is all real numbers.
Make a table of the function, $h(x)$ versus $x$.
\begin{equation}
\begin{array}{|c|cccc|}
\hline \boldsymbol{x} & -15 & 5 & 5 & 15 \\
\hline \boldsymbol{h}(\boldsymbol{x})=\sqrt[5]{\boldsymbol{2x}} & -1.97 & -1.58 & 1.58 & 1.97 \\
\hline
\end{array}
\end{equation} Plot the points from the table and join them by a smooth line to get the graph of the function.