For the polynomial function f(x) = x? (x - 4)° (x+ 2), 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 falls to the left and to the right. O B. The graph rises to the left and to the right. OC. The graph falls to the left and rises to the right. O D. The graph rises to the left and falls to the right. b. Find the x-intercept(s). The x-intercept(s) is/are D: (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, fill in the answer box to complete your choice.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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For the polynomial function f(x) = x(x - 4)° (x+2), 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 falls to the left and to the right.
O B. The graph rises to the left and to the right.
O C. The graph falls to the left and rises to the right.
O D. The graph rises to the left and falls to the right.
b. Find the x-intercept(s).
The x-intercept(s) is/are
(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, fill 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 correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The graph touches the x-axis and turns around at the zero(s)
(Tvpe an inteaer or a decimal. Use a comma to separate answers as needed.)
Transcribed Image Text:For the polynomial function f(x) = x(x - 4)° (x+2), 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 falls to the left and to the right. O B. The graph rises to the left and to the right. O C. The graph falls to the left and rises to the right. O D. The graph rises to the left and falls to the right. b. Find the x-intercept(s). The x-intercept(s) is/are (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, fill 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 correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The graph touches the x-axis and turns around at the zero(s) (Tvpe an inteaer or a decimal. Use a comma to separate answers as needed.)
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