Answer
$\text{Domain: }
[-5,5]
\\\text{Range: }
[-5,0]$
Work Step by Step
Using a graphing calculator, , the graph of the given function, $f(x)=
-\sqrt{25-x^2}
,$ is shown above.
Based on the graph its domain and range are as follows:
\begin{array}{l}\require{cancel}
\text{Domain: }
[-5,5]
\\\text{Range: }
[-5,0]
.\end{array}