1. Section 4.5 Summary of Curve Sketching
AP Calculus
October 26, 2009
CASA

2. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
DISAIMIS
O M A I N
N T E R C E P T S
Y M M E T R Y
S Y M P T O T E S
N T E R V A L S
A X
M I N
N F L E C T I O N
K E T C H
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

3. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
DISAIMIS
O M A I N
N T E R C E P T S
Y M M E T R Y
S Y M P T O T E S
N T E R V A L S
A X
M I N
N F L E C T I O N
K E T C H
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

4. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
New Information
You know about vertical asymptotes
You know about horizontal asymptotes
What about other asymptotes?
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

5. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Example
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

6. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Example: D
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

7. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Example: I
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

8. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Example: S
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

9. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Example: A
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

10. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Example: A
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

11. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Example: A
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

12. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Example: I
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

13. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Example: M
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

14. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Example: I
Calculus, Section 4.5, Todd Fadoir, CASA, 2003

15. Calculus, Section 4.5, Todd Fadoir, CASA, 2003
Assignment
Section 4.5, 1, 3, 5, 25
Calculus, Section 4.5, Todd Fadoir, CASA, 2003