Answer
See graph
Domain: $[-1,\infty)$
Range: $[0,\infty)$
Work Step by Step
We are given the function:
$h(x)=\sqrt{x+1}$
We start with the basic function $a(x)=\sqrt x$. We horizontally shift $a(x)$ one unit to the left to get $h(x)=\sqrt{x+1}$.
We use 3 points: $(-1,0),(0,1),(3,2)$
The domain of $h$ is:
$D=[-1,\infty)$
The range of $h$ is:
$R=[0,\infty)$
