Answer
The function is discontinous at $x=-2$ and also shows that $\lim\limits_{x \to 2^-}f(x)=f(2)$ and $\lim\limits_{x \to 2^+}f(x)\ne f(2)$.
Work Step by Step
The graph of $y=f(x)$ must have discontinuity at $x=-2$ with $\lim\limits_{x \to -2^-}f(x)\ne f(-2)$ and also $\lim\limits_{x \to -2^+}f(x)\ne f(-2)$. This graph also shows that $\lim\limits_{x \to 2^-}f(x)=f(2)$ and $\lim\limits_{x \to 2^+}f(x)\ne f(2)$. Which is shown below,
