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Polynomial Functions and Models
Section 5.1 Polynomial Functions and Models
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OBJECTIVE 1
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The degree of a polynomial function is the largest power of x that appears.
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Summary of the Properties of the Graphs of Polynomial Functions
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OBJECTIVE 2
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OBJECTIVE 3
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Find a polynomial of degree 3 whose zeros are -4, -2, and 3.
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For the polynomial, list all zeros and their multiplicities.
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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)
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Points on the graph where the graph
changes from an increasing function to a decreasing function, or vice versa, are called turning points.
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OBJECTIVE 4
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OBJECTIVE 5
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