Let's do another one:

 Graph 2 thingsand2 sentences!
 The y-intercept: Find f(0)
 The x-intercept: 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 x-intercepts 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 x-axis 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 x-axis at x = 0... So, once he's below, he'll be stuck there...  and, once he's above, he'll have to stay above!