Determine Which of the Following Rational Functions Has a Vertical $x = - 2 , x = - 3$

question 31

Multiple Choice

Determine which of the following rational functions has a vertical asymptote of $x = - 2 , x = - 3$ and no horizontal asymptote. Function I : $f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } + 5 x + 6 }$ Function IV : $f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } - x - 6 }$ Function II : $f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } - 5 x + 6 }$ Function V : $f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - x - 6 }$ Function III : $f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 5 x + 6 }$

• A)Function V
• B)Function II
• C)Function IV
• D)Function I
• E)Function III

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