1 / 8

2.7 Graphs of Rational Functions

2.7 Graphs of Rational Functions. Steps of Graphing. Find the domain of the function Simplify the function Find and plot the y-intercept by evaluating f(0) Find and plot the x-intercept by solving N(x) = 0 Find and graph the vertical asymptotes by solving D(x) = 0

elu
Download Presentation

2.7 Graphs of 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. 2.7 Graphs of Rational Functions

  2. Steps of Graphing • Find the domain of the function • Simplify the function • Find and plot the y-intercept by evaluating f(0) • Find and plot the x-intercept by solving N(x) = 0 • Find and graph the vertical asymptotes by solving D(x) = 0 • Find and graph the horizontal asymptotes by comparing the degrees • Find additional points • Draw smooth curves to complete the graph

  3. Graph

  4. Graph

  5. Graph

  6. Graph

  7. Slant asymptotes • If the degree in the numerator is exactly one more than the degree in the denominator, then a slant asymptote exists. • To find the equation for the slant asymptote • Using synthetic or long division divide • The equation is the quotient without the remainder

  8. Graphing with slant Asymptotes

More Related