andrewb7 wrote:I have no idea how to do this with a rational function.

please do as many of the needed .u dont have to explain

Ouch! They were supposed to have taught you this much of this stuff back in algebra!

As you read, we don't "do" students' work here (such as "doing as much as we can, but without bothering to explain what we're doing, so the student can hand it in as though he'd done the homework himself).

If you "have no idea how to do" something, the first step is to learn, so we provide links to lessons. Therefore:

Functions: Domain and Rangex- and y-InterceptsAsymptotesGraphing Rational FunctionsDifferentiation FormulasProduct and Quotient RulesCritical PointsThe Shape of a Graph: Part IThe Shape of a Graph: Part IIHigher Order DerivativesPlease give yourself at least a couple of weeks to study and learn this material. Then please attempt the exercise. If you get stuck, you can then reply with a clear listing of your steps and reasoning so far, at which point we can begin to work with you.

Thank you!