Answer
The given relation does not represent $y$ as a function of $x$.
domain: $[-6, 6]$
range: $[-6, 6]$
Work Step by Step
RECALL: Vertical Line Test
If all vertical lines will pass through the graph of a relation in at most one point only, then the relation defines $y$ as a function of $x$.
To know if the given graph represents $y$ as a function of $x$, perform the vertical line test.
Note that a number of vertical lines (e.g., $x=0$) will pass through the graph at two points. This means that the graph fails the vertical line test.
Thus, the given relation does not represent $y$ as a function of $x$.
The x-values vary from $-6$ to $6$ so the domain is $[-6, 6]$.
The y-values vary from $-6$ to $6$ so the range is $[-6, 6]$.
