SV #2: Unit G Concept #1-7: Rational Functions

This problem shows you how to find a rational function when the degree on top is bigger than the degree on bottom. This means that it is a slant asymptote and this means that there is no horizontal asymptote. This problem consists of various steps that are all explained in the video above. To graph this, we must find the x and y intercepts, the domain, and a couple of points to help us plot our lines into the graph. This example contains a numerator with a degree of three, a denominator with a degree of two, one vertical asymptote, one hole, and two x-intercepts.

In this problem, we must focus on the degrees of the beginning of the problem. This is important because this tells us what asymptote it is. When there is a slant asymptote, there is no horizontal assymptote and when there is a horizontal, there is no slant. To find a slant asymptote, we need to use long division. The remainder does not matter in this case. The equation you get is for the line that goes on the graph. The viewer must also pay close attention to finding the correct vertical asymptote. If it is done correctly, then it makes you a step closer in having a correct graph. The viewer must also pay attention to the holes the problem has. The viewer must plot points correctly on the graph (x/y inercepts., holes).