SV #2: Unit G Concepts 1-7 - Finding All Parts and Graphing A Rational Function

        This problem elaborates upon rational functions, and (kind-of) how to graph them. In just this one problem, we utilize many different concepts, such as factoring and all that, yet the foremost important things, however, are to remember what to do to find asymptotes/points. And all of that, we have committed to memory, through DIVAH. Anyways, to find the intercepts and all, we just have to remember to set the other value to 0. Graphing is pretty easy, as all you really do is make the values that head on to infinity, slowly approach the asymptotes (basically, you just make something nearly parallel to the asymptotes).
        Some special things that you need to remember are what to do to find stuff, how to graph, and how to put all of this into your calculator to make it easier and or check. Anyways, you always have either a horizontal asymptote (ratio for same degree on top and bottom, y = 0 for degree being bigger on bottom), a slant asymptote (when the top degree is bigger by 1, y equals the numerator divided by the denominator, leaving out the remainder), or none (when the top degree is bigger by more than 1). To graph, all you do is just kind-of make lines parallel to the asymptotes, and that will reach infinity on some value. To put all of this into your calculator, you might have to just do it. That is all.