Answer
discontinuous at $x=-1$ and $x=0$
Work Step by Step
Step 1. Examining the graph of $f$ carefully, we can identify two x-values where the function is discontinuous: $x=-1$ and $x=0$
Step 2. At $x=-1$, we have $\lim_{x\to-1^-}f(x)\ne \lim_{x\to-1^+}f(x)$
Step 3. At $x=0$, we have $\lim_{x\to0}f(x)\ne f(0)$
