Answer
See graph
Domain: $[0,\infty)$
Range: $(-\infty,0]$
Work Step by Step
We are given the function:
$f(x)=-\sqrt x$
We start with the basic function $a(x)=\sqrt x$.
We reflect $a(x)$ about the $x$-axis to get $f(x)=-\sqrt x$.
We use 3 points: $(0,0),(1,-1),(4,-2)$
The domain of $f$ is:
$D=[0,\infty)$
The range of $f$ is:
$R=(-\infty,0]$