Given the following Case 2 rational function, 1 f(x) = х- 2 X +4 Simplify the right side of the function to a single fraction. Then, identify the matching response for each of the following graph characteristics. Coordinates of y-intercept A. none exists Coordinates of x-intercept(s) B. (-2,0) , (-1,0) Equation(s) of the Vertical Asymptote(s) C.(-10,1) Equation of the Horizontal Asymptote D. (0,0) Points that sit on the Horizontal Е. (0,-1/4) Asymptote F. x = -4 , x=2 G. (0,-4) H. x = 1 I. y = 1 J. x = -10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given the following Case 2 rational function,
1
f(x)
-2
X +4
Simplify the right side of the function to a single fraction. Then, identify the matching response
for each of the following graph characteristics.
v Coordinates of y-intercept
A. none exists
Coordinates of x-intercept(s)
B. (-2,0) , (-1,0)
VEquation(s) of the Vertical Asymptote(s) C. (-10,1)
Equation of the Horizontal Asymptote
D. (0,0)
Points that sit on the Horizontal
Е. (0,-1/4)
Asymptote
F. x = -4 , x=2
G. (0,-4)
H.x = 1
I. y = 1
J. x = -10
Transcribed Image Text:Given the following Case 2 rational function, 1 f(x) -2 X +4 Simplify the right side of the function to a single fraction. Then, identify the matching response for each of the following graph characteristics. v Coordinates of y-intercept A. none exists Coordinates of x-intercept(s) B. (-2,0) , (-1,0) VEquation(s) of the Vertical Asymptote(s) C. (-10,1) Equation of the Horizontal Asymptote D. (0,0) Points that sit on the Horizontal Е. (0,-1/4) Asymptote F. x = -4 , x=2 G. (0,-4) H.x = 1 I. y = 1 J. x = -10
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