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→ ∞
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.4: Quadratic Functions; Translation And Reflection
Problem 1YT: YOUR TURN For the function y=2x26x1, (a) complete the square, (b) find the y-intercept, (c) find the...
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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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