Answer
The graph represents a function.
(a)
domain: $(-\infty, +\infty)$
range: $(-\infty, 2]$
(b)
x-intercepts:$-3$ and $3$
y-intercept: $2$
(c)
The graph is symmetric with respect to the y-axis.
Work Step by Step
The graph passes the vertical line test since all vertical lines will pass through the graph only once.
Thus, the graph represents a function.
(a)
The graph covers the entire x-axis.
Thus, the domain is $(-\infty, +\infty)$.
The graph covers the y-values below $2$.
Thus, the range is $(-\infty, 2]$.
(b)
The graph crosses the x-axis at $(-3, 0)$ and $(3, 0)$.
Thus, the x-intercepts are: $-3$ and $3$.
The graph crosses the y-axis at $(0, 2)$.
Thus, the y-intercept is $2$.
(c)
The graph is symmetric with respect to the y-axis.