Determine the Vertical and Slant Asymptotes of the Rational Function $F ( x ) = \frac { x ^ { 3 } - 9 } { x ^ { 2 } - 4 }$

question 51

Multiple Choice

Determine the vertical and slant asymptotes of the rational function below. $F ( x ) = \frac { x ^ { 3 } - 9 } { x ^ { 2 } - 4 }$

• A) \(x = - 9,\) \(x = 2,\) \(y = x\)
• B) \(x = - 2,\) \(x = 2,\) \(y = - x\)
• C) \(x = - 2,\) \(x = 2,\) \(y = x\)
• D) \(x = - 9,\) \(x = 9,\) \(y = x\)
• E) \(x = - 9,\) \(x = 9,\) \(y = - x\)

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