Answer
See graph
Domain: $[0,\infty)$
Range: $[0,\infty)$
Work Step by Step
We are given the function:
$g(x)=\dfrac{1}{2}\sqrt x$
We start with the basic function $a(x)=\sqrt x$.
We vertically compress $a(x)$ by a factor of $\dfrac{1}{2}$ to get $g(x)=\dfrac{1}{2}\sqrt x$.
We use 3 points: $(0,0),(4,1),(9,1.5)$
The domain of $g$ is:
$D=[0,\infty)$
The range of $g$ is:
$R=[0,\infty)$
