Answered: 57. f(x) = 3(x – 7) (x + 3)? 58. f(x) =…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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In Problems 57–68, for each polynomial function:
(a) List each real zero and its multiplicity.
(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.
(c) Determine the maximum number of turning points on the graph.
(d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of ( x )

57. f(x) = 3(x – 7) (x + 3)?
58. f(x) = 4(x + 4) (x + 3)³
59. f(x) = 4(x² + 1) (x – 2)³
* + 4)*
-(--})'« -
60. f(x) = 2(x – 3) (x² + 4)³
61. f(x) =-2(x +
(x + 4)3
62. f(x) =
(x – 1)3
Y - -
63. f(x) = (x – 5) (x + 4)²
64. f(x) = (x + V3)²(x – 2)*
65. f(x) = 3(x² + 8) (x² + 9)?
66. f(x) = -2(x² + 3)3
67. f(x) = -21 (x? – 2)
68. f(x) = 4x(x – 3)

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