Answer
We can see one possible graph below.
Work Step by Step
$\lim\limits_{x \to 0}f(x) = 1$
The value of the function gets closer to $y = 1$ as $x$ gets closer to $x=0$
$\lim\limits_{x \to 3^-}f(x) = -2$
The value of the function gets closer to $y = -2$ as $x$ gets closer to $x=3$ from the left side.
$\lim\limits_{x \to 3^+}f(x) = 2$
The value of the function gets closer to $y = 2$ as $x$ gets closer to $x=3$ from the right side.
$f(0) = -1$
$f(3) = 1$
We can see one possible graph below.