1 / 8

Understanding Slant and Horizontal Asymptotes in Rational Functions

This section explains how to identify slant (oblique) and horizontal asymptotes in rational functions based on the degrees of the numerator and denominator. When the degree of the numerator is exactly one more than that of the denominator, the graph will exhibit a slant asymptote. The section also covers the conditions for horizontal asymptotes, detailing how to determine them based on the relationship between the degrees of the numerator and denominator. Practice problems are provided for further understanding.

albany
Télécharger la présentation

Understanding Slant and Horizontal Asymptotes in Rational Functions

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. Section 1-4 continued

  2. Definition If the degree of the numerator is exactly one more than the degree of the denominator then the graph has a slant (oblique) asymptote

  3. 6.

  4. 7.

  5. 8.

  6. Horizontal Asymptotes Horizontal Asymptotes are found by comparing the degrees of N(x) and D(x) a. If n<d the line y=0 is a horizontal asymptote b. If n = d the line is a horizontal asymptote c. If n > d the graph has no horizontal asymptote

  7. Find Horizontal Asymptotes 9.

  8. Assignment: Practice Worksheet 1-4

More Related