Answer the following questions for the function $$f(x) = \frac{x^{3}}{x^{2}-4} .$$

Enter "INF" for $\infty$ and "-INF" for $- \infty$.

A. The function $f(x)$ has two vertical asympototes:
$x=$

B. $f(x)$ has one local maximum and one local minimum occuring at $x$ values :
$x_{\hbox{max}} =$ and $x_{\hbox{min}} =$

C. For each interval, tell whether $f(x)$ is increasing (type in INC) or decreasing (type in DEC).
$(- \infty, \max)$
$(\max, -2)$
$(-2, 0)$
$(0,2)$
$(2, \min)$
$(\min, + \infty)$

D. $f(x)$ is concave up on the open intervals: .

E. The inflection point for this function occurs at $x=$

F. Sketch the graph of $f(x)$ and bring it to class.