a) Show that f(x) = |x|Vx8 + 1 is an even function. b) Find the end behavior of f(x) = -(x – 2)*(x + 1)³. c) Find the MAXIMUM number of turning points of a polynomial with a leading coefficient of 1 and zeros of x = 10 with multiplicity of 4 and x = -1 of multiplicity 2 and no complex zeros.

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 81E
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a) Show that f (x) = |x|Vx8 +1 is an even function.
b) Find the end behavior of f (x) = -(x – 2)*(x + 1)³.
c) Find the MAXIMUM number of turning points of a polynomial with a leading
coefficient of 1 and zeros of x = 10 with multiplicity of 4 and x = -1 of multiplicity 2
and no complex zeros.
d) Find a linear function that passes through the points (2,–4) and (1,5).
Transcribed Image Text:a) Show that f (x) = |x|Vx8 +1 is an even function. b) Find the end behavior of f (x) = -(x – 2)*(x + 1)³. c) Find the MAXIMUM number of turning points of a polynomial with a leading coefficient of 1 and zeros of x = 10 with multiplicity of 4 and x = -1 of multiplicity 2 and no complex zeros. d) Find a linear function that passes through the points (2,–4) and (1,5).
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