Answer
Function.
Domain: $[-2, 2]$
Range: $[0, 4]$
Work Step by Step
This graph is a function because it passes the vertical line test -- an arbitrary vertical line will only pass the graph at no more than one point, indicating that there is only one $y$ value for each $x$ value.
We can see that the domain consists of values between -2 and 2 (inclusive) and the range consists of values between 0 and 4 (inclusive):
Domain: $[-2, 2]$
Range: $[0, 4]$