Asymptotes of a Rational Function
This lesson focuses on determining the asymptotes of a rational function. The teacher first shows how to find the vertical asymptote by setting the bottom of the equation equal to zero. The domain of the function is also discussed, as it is closely related to the vertical asymptote. Next, the teacher explains the rules for finding the horizontal asymptote, based on the degrees of the polynomials in the equation. The three rules are: if M is equal to N, divide the coefficients of the leading terms, if M is less than N, the horizontal asymptote is 0, and if M is greater than N, there is no horizontal asymptote.
Determining the asymptotes of a rational function
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- How do I find the vertical and horizontal asymptotes of a rational function?
- How do I find the domain of a rational function?
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Staff Review
This video uses a rational function to show how to find the domain, vertical asymptote, and horizontal asymptote of the function.
