Answer
Domain: All real numbers
Range: All real numbers
Work Step by Step
Given
\begin{equation}
h(x)=0.7 \sqrt[9]{x}.
\end{equation}
a) This is an odd root function because the index, $n=9$ 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.