CPM Homework Help : PC3 Problem 5-10

Sketch the graph of $f(x)=x^2(x+3)^2(x-1)^2$ without using a graphing calculator. Do not scale your axes, but be sure to label the important points. Describe the end behavior.

Hint:

Set each factor equal to $0$ to determine the $x$ -intercepts.
Since each factor is squared, your curve should "bounce" at each $x$ -intercept.