Polynomial Functions and Models

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Presentation transcript:

Polynomial Functions and Models Section 5.1 Polynomial Functions and Models

OBJECTIVE 1

The degree of a polynomial function is the largest power of x that appears. …

Summary of the Properties of the Graphs of Polynomial Functions

OBJECTIVE 2

OBJECTIVE 3

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

For the polynomial, list all zeros and their multiplicities. …

f(0) = -03 (0 – 3)2 (0 – 2) = 0 y-intercept x-intercepts are 0, 3, and -2 (c) 0 (multiplicity of 3), 3 (multiplicity of 2), -2 (multiplicity of 1)

Points on the graph where the graph changes from an increasing function to a decreasing function, or vice versa, are called turning points.

…

…

OBJECTIVE 4

OBJECTIVE 5