For the polynomial function f(x) = 2(x²+4) (x-5)³ answer the following questions. (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 Ix. (a) Find any real zeros of f. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The real zero of f is with multiplicity of (Simplify your answer. Type integers or fractions. Type each answer only once.) OB. The smallest zero off is with multiplicity of and the largest zero off is (Simplify your answers. Type integers or fractions. Type each answer only once.) OC. There are no real zeros. (b) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The graph touches the x-axis at (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) with multiplicity of OB. The graph crosses the x-axis at. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OC. The graph touches the x-axis at and crosses at (Type integers or simplified fractions. Use a comma to separate answers as needed.) OD. The graph neither crosses nor touches the x-axis. (c) The maximum number of turning points on the graph is (Type a whole number.)
For the polynomial function f(x) = 2(x²+4) (x-5)³ answer the following questions. (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 Ix. (a) Find any real zeros of f. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The real zero of f is with multiplicity of (Simplify your answer. Type integers or fractions. Type each answer only once.) OB. The smallest zero off is with multiplicity of and the largest zero off is (Simplify your answers. Type integers or fractions. Type each answer only once.) OC. There are no real zeros. (b) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The graph touches the x-axis at (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) with multiplicity of OB. The graph crosses the x-axis at. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OC. The graph touches the x-axis at and crosses at (Type integers or simplified fractions. Use a comma to separate answers as needed.) OD. The graph neither crosses nor touches the x-axis. (c) The maximum number of turning points on the graph is (Type a whole number.)
Chapter5: Polynomial And Rational Functions
Section5.2: Power Functions And Polynomial Functions
Problem 40SE: For the following exercises, determine whether the graph of the function provided is a graph of a...
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Please help me answer this question. Thanks.
![For the polynomial function f(x) = 2 (x²+4)²(x - 5)³ answer the following questions.
(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].
(a) Find any real zeros off. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The real zero of f is
with multiplicity of
(Simplify your answer. Type integers or fractions. Type each answer only once.)
OB. The smallest zero of f is with multiplicity of and the largest zero of fis with multiplicity of
(Simplify your answers. Type integers or fractions. Type each answer only once.)
O C. There are no real zeros.
(b) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
OA. The graph touches the x-axis at
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
OB. The graph crosses the x-axis at
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
OC. The graph touches the x-axis at and crosses at
(Type integers or simplified fractions. Use a comma to separate answers as needed.)
O D. The graph neither crosses nor touches the x-axis.
(c) The maximum number of turning points on the graph is
(Type a whole number.)
(d) The power function that the graph of f resembles for large values of |x| is y=[
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56dda719-03db-48ea-b20a-1a92b437a8a1%2Fe3aeaa5c-63d7-4389-ac42-c678178b73cc%2Fqjzmvuw_processed.png&w=3840&q=75)
Transcribed Image Text:For the polynomial function f(x) = 2 (x²+4)²(x - 5)³ answer the following questions.
(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].
(a) Find any real zeros off. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The real zero of f is
with multiplicity of
(Simplify your answer. Type integers or fractions. Type each answer only once.)
OB. The smallest zero of f is with multiplicity of and the largest zero of fis with multiplicity of
(Simplify your answers. Type integers or fractions. Type each answer only once.)
O C. There are no real zeros.
(b) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
OA. The graph touches the x-axis at
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
OB. The graph crosses the x-axis at
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
OC. The graph touches the x-axis at and crosses at
(Type integers or simplified fractions. Use a comma to separate answers as needed.)
O D. The graph neither crosses nor touches the x-axis.
(c) The maximum number of turning points on the graph is
(Type a whole number.)
(d) The power function that the graph of f resembles for large values of |x| is y=[
C
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