One last problem:
Graph 

2
things 

yintercepts: Find
f(0) 



xintercepts:
numerator =
0, solve 



Vertical asymptotes:
denominator =
0, solve 



Horizontal asymptote: 
Look at 

Hey  it's a
slant! 

Slant asymptote: 


OK, Skippy  are you ready to graph this bad boy?
Intercepts and asymptotes:
First, let's think about the left and right neighborhoods:
Here's what we've got  see if you can figure it out!
Graphs hug asymptotes.
These guys are functions.
He can ONLY cross the xaxis at x = 0.
Can he do this?
So, it must be like this:
What about the middle neighborhood?
We'll need to quickie plot two points... Try it before going on.


NOTE: A common mistake that students make is to think that a graph cannot cross a slant or horizontal asymptote. This is not the case! A graph CAN cross slant and horizontal asymptotes (sometimes more than once). It's those vertical asymptote critters that a graph cannot cross. This is because these are the bad spots in the domain.
YOUR TURN:
Graph 
