Answer
The curve represents a function of $x$.
Domain: $[-3, 2]$
Range: $[-2, 2]$
Work Step by Step
RECALL:
The Vertical Line test states that if all vertical lines will pass through a graph in at most one point, then the graph represents a function of $x$.
Note that all vertical lines will pass through the given graph in at most one point only.
Thus, the given graph represents a function of $x$.
The domain is the set of $x$ values covered by the graph, while the range is the set of $y$ values covered by the graph of the function.
The graph covers the x-values from $-3$ to $2$.
Thus, the domain is $[-3, 2]$.
The graph covers the y-values from $-2$ to $2$,
Thus, the range is $[-2, 2]$.