Download presentation

Presentation is loading. Please wait.

1
**9.2 Graphing Simple Rational Functions**

2
**Rational Function A function of the form**

where p(x) & q(x) are polynomials and q(x)≠0.

3
**Hyperbola A type of rational function.**

x=0 A type of rational function. Has 1 vertical asymptote and 1 horizontal asymptote. Has 2 parts called branches. (blue parts) They are symmetrical. We’ll discuss 2 different forms. y=0

4
**Hyperbola (continued)**

One form: Has 2 asymptotes: x=h (vert.) and y=k (horiz.) Graph 2 points on either side of the vertical asymptote. Draw the branches.

5
**Hyperbola (continued)**

Second form: Vertical asymptote: Set the denominator equal to 0 and solve for x. Horizontal asymptote: Graph 2 points on either side of the vertical asymptote. Draw the 2 branches.

6
**Ex: Graph State the domain & range.**

Vertical Asymptote: x=1 Horizontal Asymptote: y=2 x y Left of vert. asymp. Right of vert. asymp. Domain: all real #’s except 1. Range: all real #’s except 2.

7
**Ex: Graph State domain & range.**

Vertical asymptote: 3x+3=0 (set denominator =0) 3x=-3 x= -1 Horizontal Asymptote: x y Domain: All real #’s except -1. Range: All real #’s except 1/3.

8
Assignment p 290 from 20-29

Similar presentations

OK

Graphing Simple and General Rational Functions Section 9.2 and 9.3.

Graphing Simple and General Rational Functions Section 9.2 and 9.3.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on bionics instrument Ppt on seven stages of life Ppt on cse related topics of psychology Ppt on classical economics adam Ppt on information and network security Ppt on edgeworth box Ppt on history of atoms Ppt on mumbai as financial capital of india Download ppt on pedal powered washing machine Ppt on search engine working