Determining the asymptotes of a rational function

The video tutorial explains how to find vertical and horizontal asymptotes in rational functions. It begins with setting the denominator to zero to find vertical asymptotes and discusses how this relates to the domain. The tutorial then covers rules for horizontal asymptotes based on the degrees of polynomials, explaining when the asymptote is zero, a fraction, or nonexistent. The video concludes with a brief mention of slant asymptotes, which will be covered in future lessons.

What is the first step to find the vertical asymptote of a rational function?

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Explain how the vertical asymptote relates to the domain of a function.

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Describe the relationship between vertical asymptotes and the values that are not part of the domain.

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What is the significance of the leading coefficient in determining horizontal asymptotes?

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How do you find the horizontal asymptote when the degrees of the numerator and denominator are equal?

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What happens to the horizontal asymptote if the degree of the numerator is less than that of the denominator?

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What are the rules for determining the horizontal asymptote based on the degrees of the polynomials?

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