For the polynomial function below: (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 power function that the graph of f resembles for large values of [x]. f(x) = (x-8)³ (x + 5)² (a) Find any real zeros of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The real zero(s) of f is/are (Type an exact answer, using radicals as needed. Use integers fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. There are no real zeros. The multiplicity of the larger zero is (Type a whole number.) The multiplicity of the smaller zero is (Type a whole number.) (b) The graph the x-axis at the larger x-intercept. The graph the x-axis at the smaller x-intercept. (c) The maximum number of turning points on the graph is (d) Type the power function that the graph of f resembles for large values of Ix. y=0

For the polynomial function below: (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 power function that the graph of f resembles for large values of [x]. f(x) = (x-8)³ (x + 5)² (a) Find any real zeros of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The real zero(s) of f is/are (Type an exact answer, using radicals as needed. Use integers fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. There are no real zeros. The multiplicity of the larger zero is (Type a whole number.) The multiplicity of the smaller zero is (Type a whole number.) (b) The graph the x-axis at the larger x-intercept. The graph the x-axis at the smaller x-intercept. (c) The maximum number of turning points on the graph is (d) Type the power function that the graph of f resembles for large values of Ix. y=0

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

Section4.2: Polynomial Functions

Problem 40E

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