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For the graph of y=x -3x² +4 shown to the right, discuss its symmetry, indicate whether the graph crosses the x-axis at each x-intercept, and determine whether y→∞ or y→ - ∞ as xx and x-∞. 15- -5 5 X Which symmetry does the graph illustrate? Choose the correct answer below. A. The graph of the function is symmetric about the y-axis. B. The graph of the function is symmetric about the origin. OC. The graph of the function has neither type of symmetry. 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.) A. The graph crosses the x-axis at the x-intercept(s) B. The graph touches but does not cross the x-axis at the x-intercept(s) 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) OD. The graph does not have any x-intercepts. Find the behavior of the given graph as x → ∞ and x → ∞. Choose the correct answer below. A. as x∞o, y → ∞ and as x → ∞o, y → ∞ O B. as x∞, y→ ∞ and as x→ ∞, y→ ∞ ○ C. as x∞, y→∞ and as x→ ∞, y→∞ OD. as x∞, y→∞ and as x→ - ∞, y→ ∞

For the graph of y=x -3x² +4 shown to the right, discuss its symmetry, indicate whether the graph crosses the x-axis at each x-intercept, and determine whether y→∞ or y→ - ∞ as xx and x-∞. 15- -5 5 X Which symmetry does the graph illustrate? Choose the correct answer below. A. The graph of the function is symmetric about the y-axis. B. The graph of the function is symmetric about the origin. OC. The graph of the function has neither type of symmetry. 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.) A. The graph crosses the x-axis at the x-intercept(s) B. The graph touches but does not cross the x-axis at the x-intercept(s) 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) OD. The graph does not have any x-intercepts. Find the behavior of the given graph as x → ∞ and x → ∞. Choose the correct answer below. A. as x∞o, y → ∞ and as x → ∞o, y → ∞ O B. as x∞, y→ ∞ and as x→ ∞, y→ ∞ ○ C. as x∞, y→∞ and as x→ ∞, y→∞ OD. as x∞, y→∞ and as x→ - ∞, y→ ∞

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.2: Graphs Of Exponential Functions
Problem 7SE: The graph of f(x)=2(14)x20 is shifted downward 4 units, and then shifted left 2 units,stretched...
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For the graph of y=x -3x² +4 shown to the right, discuss its symmetry, indicate whether the graph crosses the x-axis at each x-intercept, and determine whether y→∞ or y→ - ∞ as xx and x-∞. 15- -5 5 X Which symmetry does the graph illustrate? Choose the correct answer below. A. The graph of the function is symmetric about the y-axis. B. The graph of the function is symmetric about the origin. OC. The graph of the function has neither type of symmetry. 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.) A. The graph crosses the x-axis at the x-intercept(s) B. The graph touches but does not cross the x-axis at the x-intercept(s) 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) OD. The graph does not have any x-intercepts. Find the behavior of the given graph as x → ∞ and x → ∞. Choose the correct answer below. A. as x∞o, y → ∞ and as x → ∞o, y → ∞ O B. as x∞, y→ ∞ and as x→ ∞, y→ ∞ ○ C. as x∞, y→∞ and as x→ ∞, y→∞ OD. as x∞, y→∞ and as x→ - ∞, y→ ∞
Transcribed Image Text:For the graph of y=x -3x² +4 shown to the right, discuss its symmetry, indicate whether the graph crosses the x-axis at each x-intercept, and determine whether y→∞ or y→ - ∞ as xx and x-∞. 15- -5 5 X Which symmetry does the graph illustrate? Choose the correct answer below. A. The graph of the function is symmetric about the y-axis. B. The graph of the function is symmetric about the origin. OC. The graph of the function has neither type of symmetry. 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.) A. The graph crosses the x-axis at the x-intercept(s) B. The graph touches but does not cross the x-axis at the x-intercept(s) 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) OD. The graph does not have any x-intercepts. Find the behavior of the given graph as x → ∞ and x → ∞. Choose the correct answer below. A. as x∞o, y → ∞ and as x → ∞o, y → ∞ O B. as x∞, y→ ∞ and as x→ ∞, y→ ∞ ○ C. as x∞, y→∞ and as x→ ∞, y→∞ OD. as x∞, y→∞ and as x→ - ∞, y→ ∞
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