Answer
See graph
Work Step by Step
Given \begin{equation}
g(x)=\sqrt[3]{x+7}.
\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, $g(x)$, versus $x$.
\begin{equation}
\begin{array}{|c|cccc|}
\hline \boldsymbol{x} & -15 & 0 & 20 & 57 \\
\hline \boldsymbol{g}(\boldsymbol{x})=\sqrt[3]{\boldsymbol{x}+\mathbf{7}} & -2 & 1.9 & 3 & 4 \\
\hline
\end{array}
\end{equation} Plot the points from the table and join them by a smooth curve to get the graph of the function.
