1 / 15

Asymptotes

Asymptotes. Objective: -Be able to find vertical and horizontal asymptotes. Asymptotes:. An asymptote is a line or curve that describes the behavior of a graph. The two kinds of asymptotes we will be working with are vertical and horizontal. Types of Asymptotes.

carrollb
Download Presentation

Asymptotes

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Asymptotes Objective: -Be able to find vertical and horizontal asymptotes

  2. Asymptotes: • An asymptote is a line or curve that describes the behavior of a graph. • The two kinds of asymptotes we will be working with are vertical and horizontal.

  3. Types of Asymptotes Vertical Horizontal x = a y = b

  4. Finding a Vertical Asymptote • Vertical asymptotes have an equation of x = a, where a is a value that makes only the denominator equal zero

  5. Examples 1) Find the vertical asymptote(s) of

  6. Examples 2) Find the vertical asymptote(s) of

  7. Examples 3) Find the vertical asymptote(s) of

  8. Examples 4) Find the vertical asymptote(s) of

  9. Finding a Horizontal Asymptote • Horizontal asymptotes of a function, f(x), have an equation of y = b, where

  10. Examples 5) Find the horizontal asymptote(s) of

  11. Examples 6) Find the horizontal asymptote(s) of

  12. Examples 7) Find the horizontal asymptote(s) of

  13. Examples 8) Find the horizontal asymptote(s) of

  14. Examples 9) Find the horizontal asymptote(s) of

  15. In summary: • We will be working with two types of asymptotes: vertical and horizontal • To find a vertical asymptote, find where only the denominator is equal to zero • To find a horizontal asymptote, find

More Related