Answer
$\text{
a function
}\\\text{Domain: }
[-4,4]
\\\text{Range: }
[0,2]$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the vertical line test to determine if the given graph is a function. The domain is the set of $x$-values and the range is the set of $y$-values.
$\bf{\text{Solution Details:}}$
A vertical line drawn anywhere will intersect the given graph in at most $1$ point. Hence, the given graph is a function.
The $x$-values used in the graph are from $-4$ to $4.$ The $y$-values used in the graph are from $0$ to $2.$
Hence, the given set has the following characteristics:
\begin{array}{l}\require{cancel}
\text{
a function
}\\\text{Domain: }
[-4,4]
\\\text{Range: }
[0,2]
.\end{array}