Determine the horizontal and vertical asymptotes

Determine the horizontal and vertical asymptotes

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify removable and non-removable discontinuities in functions, focusing on vertical and horizontal asymptotes. It covers the process of determining the domain and range of a function, emphasizing the absence of discontinuities when the denominator never equals zero. The tutorial also discusses the rules for horizontal asymptotes based on the degree of the numerator and denominator.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are removable discontinuities and how do they differ from non-removable discontinuities?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the vertical asymptote of a function?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the vertical asymptote may not exist for certain functions.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the domain of a function with no discontinuities?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the horizontal asymptote in relation to the degrees of the numerator and denominator?

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