Answer
See graph
Domain: $[0,\infty)$
Range: $[0,\infty)$
Work Step by Step
We are given the function:
$g(x)=4\sqrt x$
We start with the basic function $a(x)=\sqrt x$.
We vertically stretch $a(x)$ by a factor of 4 to get $g(x)=4\sqrt x$.
We use 3 points: $(0,0),(1,4),(4,8)$
The domain of $g$ is:
$D=[0,\infty)$
The range of $g$ is:
$R=[0,\infty)$