Home > PC3 > Chapter 7 > Lesson 7.2.4 > Problem7-117

7-117.

Sketch a graph of $f(x)=-\frac{1}{x-3}+2$. Then evaluate $\lim\limits_ { x \rightarrow - \infty } f ( x )$.

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

What does that graph look like?

Reflect the parent graph vertically. Then shift it $3$ units right and $2$ units up.