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For the graph of y=x" - 4x +6 shown to the right, discuss its symmetry, indicate whether the graph crosses the x-axis at each x-intercept, and determine whether y-oo or y- oo as x-oo and x- o. Which symmetry does the graph illustrate? Choose the correct answer below. O A. The graph of the function has neither type of symmetry. B. The graph of the function is symmetric about the y-axis. OC. The graph of the function is symmetric about the origin. Find the x-intercept(s) and determine whether the graph of the function crosses the x-axis at each x-intercept (Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed) O A. The graph crosses the x-axis at the x-intercept(s) O B. The graph touches but does not cross the x-axis at the x-intercept(s) OC. The graph crosses the x-axis at the x-intercept(s) and touches but does not cross the x-axis at the x-intercept(s) O D. The graph does not have any x-intercepts. Find the behavior of the given graph as x 0o and x - 0o. Choose the correct answer below O A. as x-+00, y0o and as x- 00, y00 B. as xoo, y00 and as x- 00, y - 00 C. as x 00. y - 00 and as x - 00, y 00 O D. as x-00. y- 00 and as x- 00, y 00

For the graph of y=x" - 4x +6 shown to the right, discuss its symmetry, indicate whether the graph crosses the x-axis at each x-intercept, and determine whether y-oo or y- oo as x-oo and x- o. Which symmetry does the graph illustrate? Choose the correct answer below. O A. The graph of the function has neither type of symmetry. B. The graph of the function is symmetric about the y-axis. OC. The graph of the function is symmetric about the origin. Find the x-intercept(s) and determine whether the graph of the function crosses the x-axis at each x-intercept (Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed) O A. The graph crosses the x-axis at the x-intercept(s) O B. The graph touches but does not cross the x-axis at the x-intercept(s) OC. The graph crosses the x-axis at the x-intercept(s) and touches but does not cross the x-axis at the x-intercept(s) O D. The graph does not have any x-intercepts. Find the behavior of the given graph as x 0o and x - 0o. Choose the correct answer below O A. as x-+00, y0o and as x- 00, y00 B. as xoo, y00 and as x- 00, y - 00 C. as x 00. y - 00 and as x - 00, y 00 O D. as x-00. y- 00 and as x- 00, y 00

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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For the graph of y=x" - 4x +6 shown to the right, discuss its symmetry, indicate whether the graph crosses the x-axis at each x-intercept, and determine whether y0o or y- oo as x0o and x- 00. 15- -15 Which symmetry does the graph illustrate? Choose the correct answer below. A. The graph of the function has neither type of symmetry. B. The graph of the function is symmetric about the y-axis. OC. The graph of the function is symmetric about the origin. Find the x-intercept(s) and determine whether the graph of the function crosses the x-axis at each x-intercept (Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O A. The graph crosses the x-axis at the x-intercept(s) O B. The graph touches but does not cross the x-axis at the x-intercept(s) O C. The graph crosses the x-axis at the x-intercept(s) and touches but does not cross the x-axis at the x-intercept(s) O D. The graph does not have any x-intercepts. Find the behavior of the given graph as x - 0o and x - 0o. Choose the correct answer below A. as x00, y0o and as x- 00, y00 B. as xoo, y0o and as x - 00, y - 00 OC. as x →00. y -0o and as X -00, y →00 D. as x00. y-00 and as x- 00, y- 00 6. O O O
Transcribed Image Text:For the graph of y=x" - 4x +6 shown to the right, discuss its symmetry, indicate whether the graph crosses the x-axis at each x-intercept, and determine whether y0o or y- oo as x0o and x- 00. 15- -15 Which symmetry does the graph illustrate? Choose the correct answer below. A. The graph of the function has neither type of symmetry. B. The graph of the function is symmetric about the y-axis. OC. The graph of the function is symmetric about the origin. Find the x-intercept(s) and determine whether the graph of the function crosses the x-axis at each x-intercept (Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O A. The graph crosses the x-axis at the x-intercept(s) O B. The graph touches but does not cross the x-axis at the x-intercept(s) O C. The graph crosses the x-axis at the x-intercept(s) and touches but does not cross the x-axis at the x-intercept(s) O D. The graph does not have any x-intercepts. Find the behavior of the given graph as x - 0o and x - 0o. Choose the correct answer below A. as x00, y0o and as x- 00, y00 B. as xoo, y0o and as x - 00, y - 00 OC. as x →00. y -0o and as X -00, y →00 D. as x00. y-00 and as x- 00, y- 00 6. O O O
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