1. How do we know if a graph has a horizontal asymptote? What are the three options?
We know if a graph has a horizontal asymptote by comparing the degrees of the numerator and denominator. There are three options for the horizontal asymptotes. If the bigger degree is on bottom the asymptote is y=0. If they have the same degree, the asymptote is the ratio of the coefficients. If the bigger degree is on top, there is no horizontal asymptote. Also, since it is a horizontal asymptote the equation is y=___. In addition, the graphs can sometimes cross towards the middle of a horizontal asymptotes but never the far left or right.
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