SV 2: Unit G Concepts 1-7: Graphing Rational Functions

This problem is about graphing a rational function with a slant asymptote and hole. There are many aspects to this problem that a student needs to find before graphing the function itself. For example, there are slant and vertical asymptotes that restrict where the graph goes, which can be mentioned hand-in-hand with the holes of the graph. Also, there is the domain, y-intercept, and x-intercept to find in the rational function so you the specific points of the graph.

The things a student needs to look for in the problem is the possibility of a hole depending on the vertical asymptote. If you cancel something out when simplifying, you will have a hole and need to pay attention to that as well. The last thing that is notable in the problem are the windows: in this case, we will have to adjust them to see the graph accordingly. In addition, we will have to set our 10 by 10 graph to a different scale and probably count by twos if we want to be able to draw it there.