Master How to determine the horizontal asymptotes of a rational function

Master How to determine the horizontal asymptotes of a rational function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine horizontal asymptotes of rational functions. It begins with a brief overview of vertical asymptotes and then delves into the horizontal asymptote test. The test involves comparing the degrees of the numerator and denominator polynomials. If the numerator's degree is greater, there is no horizontal asymptote. If it's less, the asymptote is y=0. If the degrees are equal, the asymptote is y=a/b, where a and b are the leading coefficients. The tutorial includes examples and emphasizes the importance of writing polynomials in descending order.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of leading coefficients in finding horizontal asymptotes?

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