Determine if the graph can represent a polynomial function. If so, assume that the end behavior and all turning points are represented in the graph. (a) If the graph is a polynomial, determine the minimum degree of the polynomial. (b) If the graph is a polynomial, determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. (c) If the graph is a polynomial, approximate the real zeros of the function, and determine if their multiplicities are even or odd.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 80E
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Determine if the graph can represent a polynomial function. If so, assume that the end behavior and all turning points are represented in the graph.
(a) If the graph is a polynomial, determine the minimum degree of the polynomial.
(b) If the graph is a polynomial, determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the
polynomial is odd or even.
(c) If the graph is a polynomial, approximate the real zeros of the function, and determine if their multiplicities are even or odd.
Transcribed Image Text:Determine if the graph can represent a polynomial function. If so, assume that the end behavior and all turning points are represented in the graph. (a) If the graph is a polynomial, determine the minimum degree of the polynomial. (b) If the graph is a polynomial, determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. (c) If the graph is a polynomial, approximate the real zeros of the function, and determine if their multiplicities are even or odd.
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