How do we know if a graph has a horizontal asymptote? What are the three options?
- A graph has a horizontal asymptote only when the degrees of the numerator and the denominator are being compared. When the degree in the denominator is bigger, the asymptote will be y=0. When the degree of the the numerator and the denominator are the same, then the asymptote will be the ratio of the coefficients. Although, if the degree is bigger in the numerator, there is no horizontal asymptote.
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