Today’s Agenda

Attendance / Announcements

◦Exam 3 – Wednesday 2/25

Covers Chapters 3

Questions?

Section 3.6

Polynomial Functions

73)( 2 xxf

26)( 24 xxxg

5532)( xxxh

Degree of 2

Degree of 4

Degree of 5

Basic Graphs3)( xxf

Basic Graphs3)( xxf

Basic Graphs4)( xxf

Basic Graphs4)( xxf

End Behavior

End Behavior

End Behavior

End Behavior

End Behavior

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

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

𝑓 𝑥 = 𝑥 − 5 𝑥 − 1 𝑥 + 1

𝑓 𝑥 = 𝑥2 𝑥 + 2 𝑥 − 2

𝑓 𝑥 = 𝑥3 + 3𝑥2 − 10𝑥

Use calculator to graph

𝑓 𝑥 = 𝑥3 − 11𝑥2 − 32𝑥 + 24

Classwork

• Page 193

•5 – 14 all

•15 – 21 odd

•23 – 26 all

•31