Let's do another one:
Graph 
 2 things 
 The yintercept: Find f(0) 

 The xintercept: numerator = 0, solve 


 Vertical asymptotes: denominator = 0, solve 


 Horizontal asymptote: 
Look at 


*When this is the case, we're going to be forced to "quickie plot" a few points to nail the graph. No, this is not being a sissy  we'll have no choice. Calculus will take care of this though!
OK, let's start graphing!
Let's get our intercepts and asymptotes down:
Since we've got that pesky y = 0 horizontal asymptote, we can't use our "nowhere else" info on the xintercepts to figure out the "upstairs" or "downstairs" stuff. Until we have Calculus, we're going to have to humble ourselves and plot some points  kind of! We're going to avoid taking that pathetic trip to Sissyville by cheating a little bit... I call it "quickie plotting."
Four strategically located points will do it and all we really need to know is if he's above or below the xaxis at each point.
We'll be plugging x's into the factored form:
*We only care about positives and negatives  see if you can do it! 
Now we've got it!
*Remember that he can only cross the xaxis at x = 0... So, once he's below, he'll be stuck there... and, once he's above, he'll have to stay above! 
YOUR TURN:
Graph  (You already have all the pieces!) 
*Remember that, when you are working these things out  write out all of your work in a neat and organized way! This is one of the main reasons you have to take math classes  they teach you to organize your thoughts AND TO THINK!