(a) Construct a table containing the values of the fourth- degree polynomials f(x) = 2x", g(x) = 2r – 5x? + 1, h(x) = 2r + 5x? - 1, %3D and k(x) = 2r – x' + 2r, %3D when x = +20, ±40, and +60. (b) As |x| becomes large, how do the values for each func- tion compare? (c) Which term has the greatest influence on each func- tion's value when |x| is large?

(a) Construct a table containing the values of the fourth- degree polynomials f(x) = 2x", g(x) = 2r – 5x? + 1, h(x) = 2r + 5x? - 1, %3D and k(x) = 2r – x' + 2r, %3D when x = +20, ±40, and +60. (b) As |x| becomes large, how do the values for each func- tion compare? (c) Which term has the greatest influence on each func- tion's value when |x| is large?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra

Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...

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