In Problems 59–70, for each polynomial function: anus (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|. od mu Inon a tnolavi (d) 60. f(x) = 4(x + 4) (x + 3)3 59. f(x) 3(x - 7) (x + 3)² 61. f(x) = 7(x² + 4)²(x – 5)³ to ndsie (go 62. f(x) = 2(x – 3) (x² + 4)³ 64. f(x) = (x - ) x - 1 63. f(x) = -21 r + (x + 65. f(x) (x- 5) (x + 4)2 66. f(x) = (x + V3)²(x - 2)* 67. f(x) =(2r² + 9)² (x² + 7) %3D 68. f(x) = -2(x² + 3) ³ n 69. f(x) = -2x²(x² - 2)hi mT m %3D 70. f(x) = 4x(x? - 3)

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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Please help me with 61,67 please step by step please please ????????
In Problems 59–70, 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|.
touches t
To enonbmun owog lodg
focodu mu
Inot s
tnalavi
59. f(x) = 3(x - 7) (x + 3)²
60. f(x) = 4(x + 4) (x + 3) ³
61. f(x) = 7(x² + 4)²(x – 5)³
oblle o
63. (4) = -2(x + })'cr + 4)*
64. (3) = (x - ) cx - 1)'
62. f(x) = 2(x – 3) (x² + 4)³
= -2 x +
(x + 4)3
65. f(x) = (x – 5)³(x + 4)2
66. f(x)
(x + V3)2(x - 2)4
67. f(x) = (2x² + 9)² (x² + 7)
68. f(x) = -2(x² + 3)3
ww 69. f(x) = -2r² (x² – 2) hi mdT mot 70. f(x) = 4x(x² – 3) s
(unctiqn
Transcribed Image Text:In Problems 59–70, 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|. touches t To enonbmun owog lodg focodu mu Inot s tnalavi 59. f(x) = 3(x - 7) (x + 3)² 60. f(x) = 4(x + 4) (x + 3) ³ 61. f(x) = 7(x² + 4)²(x – 5)³ oblle o 63. (4) = -2(x + })'cr + 4)* 64. (3) = (x - ) cx - 1)' 62. f(x) = 2(x – 3) (x² + 4)³ = -2 x + (x + 4)3 65. f(x) = (x – 5)³(x + 4)2 66. f(x) (x + V3)2(x - 2)4 67. f(x) = (2x² + 9)² (x² + 7) 68. f(x) = -2(x² + 3)3 ww 69. f(x) = -2r² (x² – 2) hi mdT mot 70. f(x) = 4x(x² – 3) s (unctiqn
Expert Solution
Step 1

(61) fx=7x2+42x-53

(67) fx=122x2+92x2+7

(a) we have to list each real zero and its multiplicity.

(b) we have to determine whether the graph crosses or touches the x axis at each x-intercept.

(c) we have to determine the maximum number of turning points on the graph.

(d) we have to determine the end behaviour that is we have to find the power function that the graph of f resembles for large values of x

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