1. Lesson 8-3: Graphing Rational Functions

2. Definitions
Continuity: graph may not be able to be traced without picking up pencil
Asymptote: a line that the graph of the function approaches, but never touches (this line is graphed as a dotted line)
Point discontinuity: a hole in the graph

3. Vertical Asymptote How to find a Vertical Asymptote:
x = the value that makes the rational expression undefined
*Set the denominator of the rational expression equal to zero and solve.

4. Point Discontinuity How to find point discontinuity:
* Factor completely
* Set any factor that cancels equal to zero and solve. Those are the
x values that are points of discontinuity

5. Graphing Rational Functions
f(x) =

6. Graphing Rational Functions
f(x) =

7. Graphing Rational Functions
f(x) =

8. Graphing Rational Functions
f(x)=

9. Graphing Rational Functions
f(x) =

10. Graphing Rational Functions
f(x) =