Sunday, September 23, 2012

Unit G Summary Question 1: horizontal asymptotes

1. How do we know if a graph has a horizontal asymptote? What are the three options?
A horizontal asymptote would jut be a horizontal dotted line. To figure out the horizontal asymptotes you have to compare the degrees of the numerator and the denominator. The first option will be if the bigger degree is on the bottom the asymptote will be y=0. Second, if both the numerator and denominator have the same degree then the asymptote is the ratio of the coefficients. But, if there is a bigger degree on top, there will be no asymptote. One thing we got to remember about horizontal asymptotes is that graphs can sometimes cross through them but only towards the middle not to the far left or right. 


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