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 end behavior; that is, find the power function that the graph of f resembles for large values of [x]. f(x)=(x-6)³(x + 2)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. O A. The real zero(s) off is/are (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use 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 [x]. y= comma to separate answers as needed.)

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 end behavior; that is, find the power function that the graph of f resembles for large values of [x]. f(x)=(x-6)³(x + 2)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. O A. The real zero(s) off is/are (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use 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 [x]. y= comma to separate answers as needed.)

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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