The document outlines an agenda for a class that includes: - An exam on Wednesday covering Chapter 3 - A discussion of Section 3.6 on polynomial functions of degrees 2, 4, and 5 - Examples of basic graphs of polynomials of degrees 3 and 4 - A discussion of end behavior and the number of peaks/valleys in polynomial graphs - A strategy for graphing polynomials that involves determining the degree, finding x-intercepts, y-intercepts, end behavior, and additional points to plot and sketch the graph

1. Today’s Agenda
 Attendance / Announcements
◦ Exam 3 – Wednesday 2/25
Covers Chapters 3
 Questions?
 Section 3.6

2. Polynomial Functions
73)( 2
 xxf
26)( 24
 xxxg
5
532)( xxxh 
Degree of 2
Degree of 4
Degree of 5

3. Basic Graphs
3
)( xxf 

4. Basic Graphs
3
)( xxf 

5. Basic Graphs
4
)( xxf 

6. Basic Graphs
4
)( xxf 

8. End Behavior

9. End Behavior

10. End Behavior

11. End Behavior

12. End Behavior

13. Graphs of Polynomials
The number of “peaks/valleys” for a
graph of a polynomial is at most n – 1,
where n is the degree of the polynomial

18. Strategy for Graphing Polynomials
• Determine the Degree
• Find x-intercepts (set y = 0)
– Use Factoring / Zero Product Property
• Find y-intercepts
• Think of End Behavior
• Find a few additional points
• Plot points and sketch graph

19. 𝑓 𝑥 = 𝑥 − 5 𝑥 − 1 𝑥 + 1

20. 𝑓 𝑥 = 𝑥2 𝑥 + 2 𝑥 − 2

21. 𝑓 𝑥 = 𝑥3
+ 3𝑥2
− 10𝑥

22. Use calculator to graph
𝑓 𝑥 = 𝑥3
− 11𝑥2
− 32𝑥 + 24

23. Classwork
• Page 193
•5 – 14 all
•15 – 21 odd
•23 – 26 all
•31