Answer
Domain: All real numbers
Range: All real numbers
Work Step by Step
Given
\begin{equation}
f(x)=-\frac{5}{8} \sqrt[7]{x}.
\end{equation} a)This is an odd root function because the index, $n=7$, is odd. Both the domain and range are all real numbers.
1) The domain is $(-\infty, \infty)$.
2) The range is $(-\infty,\infty )$.
See the graph for proof.
