Answer
The range is $y\geq 0$.
The graph is shown below.
Work Step by Step
The given function is
$y=\sqrt{x+5}$
Use the domain of $g$, $x\geq -5$, to make a table of values.
Plot the ordered pairs.
Draw a smooth curve through the points, starting at $(0,-4)$.
From the graph, the range of $g$ is $y\geq 0$.