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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