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Identify Any Horizontal and Vertical Asymptotes of the Function Below f(x)=2x8x+6f ( x ) = \frac { 2 x - 8 } { | x | + 6 }

Question 5

Multiple Choice

Identify any horizontal and vertical asymptotes of the function below.
f(x) =2x8x+6f ( x ) = \frac { 2 x - 8 } { | x | + 6 }


A) vertical asymptotes: x=2x = - 2 and x=2x = 2 ; horizontal asymptotes: y=6y = - 6 and y=6y = 6
B) vertical asymptotes: x=2x = - 2 and x=2x = 2 ; horizontal asymptotes: none
C) vertical asymptotes: x=6x = - 6 and x=6x = 6 ; horizontal asymptotes: none
D) vertical asymptotes: none; horizontal asymptotes: y=2y = - 2 and y=2y = 2
E) vertical asymptotes: x=6x = - 6 and x=6x = 6 ; horizontal asymptotes: y=2y = - 2 and y=2y = 2

Correct Answer:

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