Vertical and Horizontal asymptotes of a rational function

Vertical and Horizontal asymptotes of a rational function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find vertical and horizontal asymptotes in rational functions. It begins with factoring the denominator to identify vertical asymptotes and setting them to zero. The tutorial then covers horizontal asymptotes, focusing on comparing the degrees of the numerator and denominator and using leading coefficients. The video concludes with a brief mention of potential holes in the graph and hints at further problem-solving examples.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you factor the denominator to find vertical asymptotes?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a discontinuity to be non-removable?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are vertical asymptotes and how can they be determined?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of finding horizontal asymptotes based on the degrees of the numerator and denominator.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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