For the polynomial function f(x)= x (x- 2)°(x + 3), 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?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter3: Graphing Linear Functions
Section: Chapter Questions
Problem 5CA
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For the polynomial function f(x)= x(x- 2)°(x+ 3), 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 rises to the right.
B. The graph rises to the left and falls to the right.
C. The graph rises to the left and to the right.
D. The graph falls to the left and 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.)
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)
(Type an integer or a decimal. Use a comma to separate answers as needed.)
B. There are no zeros at which the graph touches the x-axis and turns around.
c. Find the y-intercept.
O Time Remaining: 01:274
Transcribed Image Text:For the polynomial function f(x)= x(x- 2)°(x+ 3), 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 rises to the right. B. The graph rises to the left and falls to the right. C. The graph rises to the left and to the right. D. The graph falls to the left and 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.) 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) (Type an integer or a decimal. Use a comma to separate answers as needed.) B. There are no zeros at which the graph touches the x-axis and turns around. c. Find the y-intercept. O Time Remaining: 01:274
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