Answer
x-intercepts: $-4$, $0,$ and $2$
y-intercepts: $-2, 0$ and $2$
Work Step by Step
RECALL:
(1) The x-intercepts are the x-coordinates of the points where the graph crosses or touches the x-axis.
(2) The y-intercepts are the y-coordinates of the points where the graph crosses or touches the y-axis.
Notice that the graph touches or crosses the x-axis at $(-4, 0)$, $(0,0),$ and $(2, 0)$ and the y-axis at $(0, 2)$, $(0, 0)$, and $(0, -2)$.
Thus, the intercepts are:
x-intercepts: $-4$, $0,$ and $2$
y-intercepts: $-2, 0$ and $2$