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Lesson: Determining Horizontal and Vertical Asymptotes

In this lesson, we will learn how to find the horizontal and vertical asymptotes of given functions.

Question Video: Rational Functions and Asymptotes

01:56

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:

What are the two asymptotes of the hyperbola ?

  • A
  • B
  • C
  • D
  • E

Q3:

Find the vertical and horizontal asymptotes of the function .

  • A The horizontal asymptote is , and there are no vertical asymptotes.
  • B The horizontal asymptote is , and there are no vertical asymptotes.
  • C There are no horizontal asymptotes, and the vertical asymptote is .
  • D There are no horizontal asymptotes, and the vertical asymptote is .
  • E Horizontal asymptote at , and there are no vertical asymptotes.
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