CPM Homework Help : PC Problem 8-26

Sketch the graph of $f(x)=\frac{x^2-6x+10}{(x-3)^2}$ . If you do not have a graphing calculator, think about what happens when $x$ approaches $∞$ and $–∞$ . What happens when $x$ gets close to $3$ . You can try numbers close to $3$ (like $3.001$ ) to get an idea. Evaluate the following limits.

$\lim \limits_ { x \rightarrow \infty } f ( x )$

$\lim \limits_ { x \rightarrow 3 ^ { - } } f ( x )$

$\lim \limits_ { x \rightarrow 3 ^ { + } } f ( x )$

$\lim \limits_ { x \rightarrow - 3 } f ( x )$

What happens at $x = 3$ ?

What happens at $x = −3$ ?

Complete the table in the eTool below.
Click the link at right for the full version of the eTool: 8-26 eTool