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Lesson: Determining Horizontal and Vertical Asymptotes

In this lesson, we discuss the definition of asymptotes, then focus on the horizontal and vertical asymptotes of a function and learn how to evaluate them.

Worksheet: Determining Horizontal and Vertical Asymptotes • 9 Questions

Q1:

Find the vertical and horizontal asymptotes of the function .

A The function has no vertical asymptote and a horizontal asymptote at .
B The function has no vertical asymptote and a horizontal asymptote at .
C The function has a vertical asymptote at and no horizontal asymptote.
D The function has a vertical asymptote at and no horizontal asymptote.
E The function has no vertical asymptote and a horizontal asymptote at .

Q2:

Determine the vertical and horizontal asymptotes of the function .

A The vertical asymptote is at , and the horizontal asymptote is at .
B The vertical asymptote is at , and the function has no horizontal asymptote.
C The vertical asymptote is at , and the horizontal asymptote is at .
D The function has no vertical asymptote, and the horizontal asymptote is at .
E The vertical asymptote is at , and the horizontal asymptote is at .

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