For the polynomial function f(x) =x (x-3)°(x +5) answer parts a through e a. Use the Leading Coefficient Test to determine the graph's end behavior. Which of the following is the correct statement about the end behavior of the given function? O A. The graph rises to the left and to the right. O B. The graph falls to the left and to tho right O C. The graph rises to the left and falls to the right O D. The graph falls to the left and risos to the right. 6. Find the x-intercept(s). The x-intercept(s) islare (Type an integer or a decimal. Use a comma to separate answers as needed.) At which zero(s) does the graph of the function cross the X-axis? Select the correct choice below and if necessary hil in the answer box to complete your choice O A. The graph crosses the x-axis at the zero(s) (Type an integer or a decimal Use a comma to separate answers as needed) O B. There are no zeros at which the graph crosses the x-axis At which zero(s) does the graph of the function touch the x-axis and turn around? Select the coirect chioice below and, if necessary, fill in the answer box to complete your choice O A. The graph touches the x-axis and furns around at the zero(s) (Type an integer or a decimal. Use a comma to separate answers as needed) O B. There are no zeros at which the graph touches the x-axis and turns around.
For the polynomial function f(x) =x (x-3)°(x +5) answer parts a through e a. Use the Leading Coefficient Test to determine the graph's end behavior. Which of the following is the correct statement about the end behavior of the given function? O A. The graph rises to the left and to the right. O B. The graph falls to the left and to tho right O C. The graph rises to the left and falls to the right O D. The graph falls to the left and risos to the right. 6. Find the x-intercept(s). The x-intercept(s) islare (Type an integer or a decimal. Use a comma to separate answers as needed.) At which zero(s) does the graph of the function cross the X-axis? Select the correct choice below and if necessary hil in the answer box to complete your choice O A. The graph crosses the x-axis at the zero(s) (Type an integer or a decimal Use a comma to separate answers as needed) O B. There are no zeros at which the graph crosses the x-axis At which zero(s) does the graph of the function touch the x-axis and turn around? Select the coirect chioice below and, if necessary, fill in the answer box to complete your choice O A. The graph touches the x-axis and furns around at the zero(s) (Type an integer or a decimal. Use a comma to separate answers as needed) O B. There are no zeros at which the graph touches the x-axis and turns around.
Chapter5: Polynomial And Rational Functions
Section5.2: Power Functions And Polynomial Functions
Problem 62SE: For the following exercises, use the information about the graph of a polynomial function to...
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Transcribed Image Text:For the polynomial function f(x) =x-(x-3)°(x +5) answer parts a through e
a. Use the Leading Coefficient Test to determine the graph's end behavior.
Which of the following is the correct statement about the end behavior of the given function?
O A. The graph rises to the left and to the right.
O B. The graph falls to the left and to tho right
O C. The graph rises to the left and falls to the right
O D. The graph falls to the left and risos to the right
6. Find the x-intercept(s).
The x-intercept(s) islare
(Type an integer or a decimal. Use a comma to separate answers as needed.)
At which zero(s) does the graph of the function cross the x-axis? Select the correct choice below and, if necessary hill in the answer box to complete your choice.
O A. The graph crosses the x-axis at the zero(s)
(Type an integer or a decimal. Use a comma to separate answers as needed)
O B. There are no zeros at which the graph crosses the x-axis
At which zero(s) does the graph of the function touch the x-axis and turn around? Select the coirecl chioice below and, if necessary, fill in the answer box to complete your choice.
O A. The graph touches the x-axis and furns around at the zero(s)
(Type an integer or a decirmal. Use a comma to separate answers us needed)
O B. Theree are no zeros at which the graph touches the x-axis and turns around.
c. Find the y-intercept
Transcribed Image Text:For the polynomial function f(x) x (x- 3)°(x + 5), answer parts a through e
------ - r
O A. The graph touches the x-axis and turns around at the zero(s)
(Type an integer or a decimal, Use a comma to separate answers as needed)
O B. There are no zeros at which the graph touches the x-axis and turns around
c. Find the y-intercept.
The y-intercept is
(Simplify your answer.)
d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither.
Which of the following is the correct statement about the symmetry given function?
O A. The graph of f is symmetric aboul the origin.
O B. The graph of f is syImetric about the y-axis
O C. The graph of f is neither symmetric about the y axis nor symmetric about the origin
e. Il necessary, find a few additional points and graph the function Use the maximum number of turning points to check whether it is drawn correctly Choose the correct graph bolow
Oc.
OD.
O B.
O A
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