#### Answer

$\lim\limits_{x \to 3}f(x) = -\infty$
$\lim\limits_{x \to \infty} = 2$
$f(0) = 0$
$f$ is even

#### Work Step by Step

$\lim\limits_{x \to 3}f(x) = -\infty$
As $x$ approaches $3$ from the left and the right, the value of the function becomes larger magnitude negative numbers.
$\lim\limits_{x \to \infty} = 2$
As $x$ approaches larger magnitude positive numbers, the value of the function gets closer and closer to 2
$f(0) = 0$
$f$ is even
That is, $f(-x) = f(x)$ for all values of $x$
The graph is reflected about the y-axis.