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

Question 31

Multiple Choice

Determine which of the following rational functions has a vertical asymptote of x=2,x=3x = - 2 , x = - 3 and no horizontal asymptote. Function I : f(x) =x3x2+5x+6f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } + 5 x + 6 } Function IV : f(x) =x2x2x6f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } - x - 6 } Function II : f(x) =x2x25x+6f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } - 5 x + 6 } Function V : f(x) =x3x2x6f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - x - 6 } Function III : f(x) =x3x25x+6f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 5 x + 6 }


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

Correct Answer:

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