## Calculus (3rd Edition)

$f(x)$ is left continuous at $x=2$. Jump discontinuity at $x=2$.
One can see that $\lim _{x \rightarrow 2^-} f(x)=-1=f(2)$ $\lim _{x \rightarrow 2^+} f(x)=1\neq f(2)$ Hence, $f(x)$ has a jump discontinuity at $x=2$ and is left continuous at $x=2$.