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
Related questions
Question
Q19
![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-8)³(x + 5)²
(a) Find any real zeros off. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O 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.)
OB. There are no real zeros.
The multiplicity of the larger zero is
(Type a whole number.)
C
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbafcd83-01c0-4a70-b139-5a5a0d7792ec%2F797ff17e-6c37-4447-a662-1f1408c83885%2Fzaydjt_processed.png&w=3840&q=75)
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) = (x-8)³(x + 5)²
(a) Find any real zeros off. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O 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.)
OB. There are no real zeros.
The multiplicity of the larger zero is
(Type a whole number.)
C
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
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