Answer
See graph (red). domain $[0,\infty)$, range $[0,\infty)$
Work Step by Step
Step 1. To obtain the graph of $g(x)=\frac{1}{2}\sqrt x$ from $y=\sqrt x$, compress the curve vertically by a factor of $\frac{1}{2}$. See graph (red).
Step 2. We can find the domain $[0,\infty)$ and the range $[0,\infty)$.