Section 4.1

Polynomial Functions and Models

OBJECTIVE 1

5 4 3 2

133

2

(a) 3 4 2 5 (b) 3 5 10

(c) 3 5 (d) 2 3 8

(e) 5 (f) 3 2 1

f x x x x g x x x

h x x F x x x

G x H s s s

Summary of the Properties of the Graphs of Polynomial Functions

OBJECTIVE 2

5Graph: 2 x

4Graph: - 2 1x

OBJECTIVE 3

Find a polynomial of degree 3 whose zeros are -4, -2, and 3.

3 44 2f x x x

For the polynomial, list all zeros and their multiplicities.

23For the polynomial 3 2f x x x x

OBJECTIVE 4

2Analyze the graph of the polynomial function 4 1 2f x x x x

3 2

Analyze the graph of the polynomial function

3.12 3.512 5.1354f x x x x

OBJECTIVE 5