Answer
1) Domain: $[0, \infty)$
2) Range: $[0,\infty )$
Work Step by Step
Given \begin{equation}
f(x)=5\sqrt{x}.
\end{equation} a) This is an even root function because the index, $n=2$ 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.