Answer
Discontinuitiy at $x=0.$
Work Step by Step
$x=0$ is of interest to us, as it is the only value where $f(x)$ can have a discontinuity.
Left-sided limit:$\qquad \displaystyle \lim_{x\rightarrow 0^{-}}f(x)=0+2=2$
Right-sided limit:$\qquad \displaystyle \lim_{x\rightarrow 0^{+}}f(x)=2(0)-1=-1$
They are not equal $\Rightarrow$ a limit does not exist at $x=0.$
We have a discontinuity at $x=0.$
