Identify any horizontal or vertical asymptotes of a rational function

Identify any horizontal or vertical asymptotes of a rational function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find horizontal and vertical asymptotes of a function. It begins with an introduction to asymptotes, followed by a detailed explanation of the horizontal asymptote test, which involves comparing the exponents of the leading terms in the numerator and denominator of a polynomial. The tutorial then discusses vertical asymptotes, focusing on domain constraints and the conditions under which vertical asymptotes do not exist. The video concludes with a summary of the key points covered.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the purpose of the horizontal asymptote test?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the horizontal asymptote when the exponents of the leading terms are the same?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the vertical asymptote in relation to the domain?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What values of X create a constraint on the domain for the polynomial discussed?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn about the existence of vertical asymptotes in the given polynomial?

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