Answer
The graph represents a function.
(a)
domain: $(-\infty, +\infty)$.
range: $(-\infty, 5]$.
(b)
x-intercepts: $-1$ and $2$
y-intercept: $4$
(c)
The graph is not symmetric with respect to the x-axis, the y-axis, or the origin.
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 the entire x-axis.
Thus, the domain is $(-\infty, +\infty)$.
The graph covers the y-values below $5$.
Thus, the range is $(-\infty, 5]$.
(b)
The graph touches the x-axis at $(-1, 0)$ and $(2, 0)$.
Thus, the x-intercepts are: $-1$ and $2$.
The graph crosses the y-axis at $(0, 4)$.
Thus, the y-intercept is $4$.
(c)
The graph is not symmetric with respect to the x-axis, the y-axis, or the origin.