Determine the Equations of the Vertical and Horizontal Asymptotes of the Graph

question 14

Multiple Choice

Determine the equations of the vertical and horizontal asymptotes of the graph of the function $$f ( x ) = \frac { 2 x ^ { 2 } } { x ^ { 2 } - 9 }$$

• A) horizontal: \(y = 2\); vertical: \(x = 3\) and \(x = - 3\)
• B) horizontal: \(x = - 2\); vertical: \(y = 3\) and \(y = - 3\)
• C) horizontal: \(y = - 3\); vertical: \(x = 2\)
• D) horizontal: \(y = 2\); vertical: \(x = 3\)
• E) horizontal: \(x = 3\) and \(x = - 3\); vertical: \(y = - 2\)

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