Answer
1) Domain: $[0, \infty)$
2) Range: $[0,\infty )$
Work Step by Step
Given
\begin{equation} h(x)=0.24 \sqrt[4]{x}.
\end{equation} a) This is an even root function because the index, $n=4$, is even. Both the domain and range are given by:
1) The domain is $[0, \infty)$.
2) The range is $[0,\infty )$.
See the graph for proof.