1 / 13

Section 4.1 – Rational Functions and Asymptotes

Section 4.1 – Rational Functions and Asymptotes. Graphing and Analyzing Rational Functions. Domain Vertical Asymptotes (x = ) Horizontal Asymptotes (y = ) Holes (x, y) Intercepts Graph. Find the equations of the horizontal asymptotes of:. Domain: . Vertical Asymptotes:.

kevlyn
Télécharger la présentation

Section 4.1 – Rational Functions and 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. Section 4.1 – Rational Functions and Asymptotes

  2. Graphing and Analyzing Rational Functions • Domain • Vertical Asymptotes (x = ) • Horizontal Asymptotes (y = ) • Holes (x, y) • Intercepts • Graph

  3. Find the equations of the horizontal asymptotes of:

  4. Domain: Vertical Asymptotes: Horizontal Asymptotes: Holes: Intercepts:

  5. Domain: Vertical Asymptotes: Horizontal Asymptotes: Holes: Intercepts:

  6. Domain: Vertical Asymptotes: Horizontal Asymptotes: Holes: Intercepts:

  7. Domain: Vertical Asymptotes: Horizontal Asymptotes: Holes: Intercepts:

  8. Extension: The graph contains an hole at x = -3 Note: Cancelled and eliminated Extension: The graph contains an asymptote at x = 3 Note: not eliminated

  9. Domain: Vertical Asymptotes: Horizontal Asymptotes: Holes: Intercepts:

  10. Extension: The graph contains a hole at x = -2 Note: cancelled and eliminated

  11. Domain: Vertical Asymptotes: Horizontal Asymptotes: Holes: Intercepts:

  12. Graph the rational function which has the following characteristics Vert Asymp at x = 1, x = -3 Horz Asymp at y = 1 Intercepts (-2, 0), (3, 0), (0, 2) Passes through (-5, 2)

  13. Graph the rational function which has the following characteristics Vert Asymp at x = 1, x = -1 Horz Asymp at y = 0 Intercepts (0, 0) Passes through (-0.7, 1), (0.7, -1), (-2, -0.5), (2, 0.5)

More Related