Answer
1) Domain: $[0, \infty)$
2) Range: $(-\infty,0]$
Work Step by Step
Given
\begin{equation}
f(x)=-7\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 $(-\infty,0]$.
See the graph for proof.