Answer
Not a function
The domain is $(-3, 4]$.
The range is $[-1, 2]$.
Work Step by Step
Some vertical lines (such as $x=0$) will pass through the graph on more than one point.
Thus, the graph does not represent a function.
The x-values are from $-3$ to $4$ (but not including -3 itself as a hole was used to plot the point).
Thus, the domain is $(-3, 4]$.
The y-values range from $-1$ to $2$.
Thus, the range is $[-1, 2]$.