Answer
It is the graph of a function.
Domain: [-3, 2]
Range: [-3, -2) U [-1, 3]
Work Step by Step
The curve passes the vertical line test, and thus no value of x is assigned more than one value of y. Therefore, it is a function.
The curve extends horizontally from x = -3 to x= 2, and so the domain is the interval [-3, -2].
The curve extends vertically from y = -3 to right below y= -2, and then from y = -1 up to y = 3, so the range is the union of these two intervals: [-3, -2) U [-1, 3]. We use a parenthesis for y = -2 because there is no actual point there.
