Answer
$\text{
NOT a function
}\\\text{Domain: }
[-2,2]
\\\text{Range: }
[-2,2]$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To determine if the given graph is a function, use the Vertical Line Test.
$\bf{\text{Solution Details:}}$
A vertical line drawn at $x=0$ will intersect the given graph in more than $1$ point. By the Vertical Line Test, the given is NOT a function.
The domain is the set of all $x$-values, while the range is the set of all $y$-values. Hence, the given set of points has the following characteristics:
\begin{array}{l}\require{cancel}
\text{
NOT a function
}\\\text{Domain: }
[-2,2]
\\\text{Range: }
[-2,2]
.\end{array}