Answer
We can see one possible graph below.
Work Step by Step
$\lim\limits_{x \to 0^-}f(x) = 2$
The value of the function gets closer to $y = 2$ as $x$ gets closer to $x=0$ from the left side.
$\lim\limits_{x \to 0^+}f(x) = 0$
The value of the function gets closer to $y = 0$ as $x$ gets closer to $x=0$ from the right side.
$\lim\limits_{x \to 4^-}f(x) = 3$
The value of the function gets closer to $y = 3$ as $x$ gets closer to $x=4$ from the left side.
$\lim\limits_{x \to 4^+}f(x) = 0$
The value of the function gets closer to $y = 0$ as $x$ gets closer to $x=4$ from the right side.
$f(0) = 2$
$f(4) = 1$
We can see one possible graph below.