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

question 46

Multiple Choice

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

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

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