Section 5.1 Polynomial Functions and Modelsacademics.triton.edu/faculty/mlarosa/PP111/satg5e_ppt_5.1.pdf · Degree No degree Form f(x) -o 00, 00 f(x) Name Zero function Constant function
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Section 5.1
Polynomial Functionsand 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= − − + −