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 48. f(x) = -(x + 3)' 49. f(x) = x- 9x %3D 51. f(x) = -x' +x² + 2x 52. f(x) = x - 6x² + 9x %3D 54. f(x) = x³ – x 55. f(x) = 12ro - 36x 48x 57. f(x) = 2x – 6x* – &r 60. f(x) = x' - x² – x + 1 58. f(x) = -5x + 10x 61. f(x) = -(x + 2)(x – 1)² %3D - 5x? %3D
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 48. f(x) = -(x + 3)' 49. f(x) = x- 9x %3D 51. f(x) = -x' +x² + 2x 52. f(x) = x - 6x² + 9x %3D 54. f(x) = x³ – x 55. f(x) = 12ro - 36x 48x 57. f(x) = 2x – 6x* – &r 60. f(x) = x' - x² – x + 1 58. f(x) = -5x + 10x 61. f(x) = -(x + 2)(x – 1)² %3D - 5x? %3D
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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