Answer
1) Domain: all real numbers
Work Step by Step
Given \begin{equation}
f(x)=-\sqrt[3]{x+6}.
\end{equation} This is an odd index radical function whose domain and range consists of all real numbers.
1) The domain is all real numbers.
Make a table of the function, $f(x)$ versus $x$.
\begin{equation}
\begin{array}{|c|cccc|}
\hline \boldsymbol{x} & -40& -10 & 10 & 40 \\
\hline \boldsymbol{f}(\boldsymbol{x})=-\sqrt[3]{\boldsymbol{x}+\mathbf{6}} & 3.2 & 1.6 & -2.5 & -3.6 \\
\hline
\end{array}
\end{equation} 2) See the graph.
