In Exercises 47-64, for each polynomial function given: (a) list each real zero and its multiplicity; (b) determine whether the graph touches or crosses at each x-intercept; (c) find the y-intercept and a few points on the graph; (d) determine the end behavior; and (e) sketch the graph. 47. f(x) = (x - 2) 50. f(x) = -x' + 4x 53. f(x) = -x- 3x 48. f(x) = -(x+ 3)³ 49. f(x) = x' - 9x 51. f(x) = -x' +x² + 2x 52. f(x) = x- 6x² + 9x %3D 54. f(x) = x° – x³ 55. f(x) = 12xo - 36x - 48x* 56 14.4 213

College Algebra
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Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 42E: In Exercises 33-48, (a) find all real zeros of the polynomial function, (b) determine whether the...
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In Exercises 47-64, for each polynomial function given: (a) list each real zero and its multiplicity; (b) determine whether the
graph touches or crosses at each x-intercept; (c) find the y-intercept and a few points on the graph; (d) determine the end
behavior; and (e) sketch the graph.
47. f(x) = (x - 2)
50. f(x) = -x' + 4x?
53. f(x) = -x- 3x
56. f(x) = 7x- 14x 21x
59. f(x) = x'- xr - 4x + 4
62. f(x) = (x - 2)(x + 1)
48. f(x) = -(x + 3)³
49. f(x) = x' - 9x
51. f(x) = -x' + x² + 2x
52. f(x) = x - 6x2 + 9x
%3D
54. f(x) = x³ – x
55. f(x) = 12x° – 36x-48x
57. f(x) = 2x - 6x* – 8r
60. f(x) = x' – x² - x + 1
58. f(x) = -5xr + 10x-5x2
61. f(x) = -(x + 2)(x – 1)²
63. f(x) = x²(x – 2)°(x + 3)²
64. f(x) = -x'(x - 4)(x + 2)²
Transcribed Image Text:In Exercises 47-64, for each polynomial function given: (a) list each real zero and its multiplicity; (b) determine whether the graph touches or crosses at each x-intercept; (c) find the y-intercept and a few points on the graph; (d) determine the end behavior; and (e) sketch the graph. 47. f(x) = (x - 2) 50. f(x) = -x' + 4x? 53. f(x) = -x- 3x 56. f(x) = 7x- 14x 21x 59. f(x) = x'- xr - 4x + 4 62. f(x) = (x - 2)(x + 1) 48. f(x) = -(x + 3)³ 49. f(x) = x' - 9x 51. f(x) = -x' + x² + 2x 52. f(x) = x - 6x2 + 9x %3D 54. f(x) = x³ – x 55. f(x) = 12x° – 36x-48x 57. f(x) = 2x - 6x* – 8r 60. f(x) = x' – x² - x + 1 58. f(x) = -5xr + 10x-5x2 61. f(x) = -(x + 2)(x – 1)² 63. f(x) = x²(x – 2)°(x + 3)² 64. f(x) = -x'(x - 4)(x + 2)²
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