### Home > PC > Chapter 5 > Lesson 5.2.3 > Problem5-73

5-73.

Sketch the graph of $f ( x ) = - \frac { 1 } { x - 3 } + 2$, then evaluate $\lim \limits _ { x \rightarrow- \infty } f ( x )$

The parent graph of $f(x)$ is $y = \frac{1}{x}$.

What does that graph look like?

$y=\frac{1}{x}$

What does a negative sign do to a graph?
What about $\left(x − 3\right)$ and $+2$?

Use the graph to evaluate the limit.