1 / 8

Notes 8.2

Notes 8.2. Graph Simple Rational Functions. Rational Functions. Ratio of two polynomial functions f(x) = p(x)/q(x) , q(x) ≠ 0 Inverse Function is rational function f(x) = a/x. Inverse Function. Graph is a hyperbola Symmetrical parts Vertical and Horizontal Asymptotes

shaw
Download Presentation

Notes 8.2

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. Notes 8.2 Graph Simple Rational Functions

  2. Rational Functions • Ratio of two polynomial functions • f(x) = p(x)/q(x) , q(x) ≠ 0 • Inverse Function is rational function • f(x) = a/x

  3. Inverse Function • Graph is a hyperbola • Symmetrical parts • Vertical and Horizontal Asymptotes • Domain and Range: all nonzero real numbers (x ≠ 0, y ≠ 0)

  4. To graph simple rational functions: y = a/(x-h) + k Step 1) Sketch the asymptotes: x = h and y = k vertical horizontal Step 2) Use a basic table of values to plot 2-3 points on each side of the vertical asymptote (i.e. x = h-3, h-2, h-1,& h+1, h+2, h+3) (or multiples of a) Step 3) Sketch the two halves of the hyperbola. Step 4) Label the graph with the equation, and label all asymptotes.

  5. EX. y = a/x • Vertical Asymptote: y = 0 • Horizontal Asymptote: x = 0 • x = -2, -1, 1, 2

  6. EX. y = -3/(x + 2) -1 Asymptotes: x = -2, y = -1

  7. Graph and Label

  8. Your Turn • 561 (graphs = 3 parts) get 5pt • Level A: 3,5, 11,13, 27 • Level B: 8, 16,18, 31 • Level C:10 22, 34

More Related