Answer
The graph of the function $y=f(x)$ is sketched below.
Work Step by Step
The graph of the function $y=f(x)$ is sketched below.
- The graph passes point $(0,0)$.
- As $x$ approaches $0^+$, $f(x)$ approaches $2$, but since $f(0)=0$, there must be a break there.
- As $x$ approaches $0^-$, $f(x)$ approaches $-2$, but since $f(0)=0$, there must also be a break there.
- As $x$ approaches $\pm\infty$, $f(x)$ approaches $0$.