Answer
The curve represents a function.
Domain: $[-3, 2]$
Range: $[-2, 2]$
Work Step by Step
Note that all vertical lines the will pass through the graph will do so on one point only.
Thus, the graph pass the vertical line test, which means that the graph represents a function.
The x-values vary from -3 to 2 so the domain is $[-3, 2]$.
The y-values vary from -2 to 2 so the range is $[-2, 2]$.