Answer
The given relation does not represent a function.
domain:
$(-3, 4]$
range:
$[-1, 2]$
Work Step by Step
The x-values vary from $-3$ to $4$. However, since a hole (or hollow dot) was used to plot $(-3, 0)$, this means that the point is not really part of the graph.
Thus, the domain is $(-3, 4]$.
The y-values vary from $-1$ to $2$.
Thus, the range is $[-1, 2]$
Note the number of vertical lines (such as $x=0$) that will pass through the graph at more than one point.
The graph fails the vertical line test; therefore, the graph does not represent a function.
