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) = - 4(x – 8)(x + 8)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. A. The real zero(s) of f is/are. (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There are no real zeros.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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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) = - 4(x – 8)(x + 8)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.
A. The real zero(s) of f is/are.
(Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. There are no real zeros.
Transcribed Image Text: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) = - 4(x – 8)(x + 8)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. A. The real zero(s) of f is/are. (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There are no real zeros.
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