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

Question 2

Multiple Choice

Determine the equations of the vertical and horizontal asymptotes of the graph of the function f(x) =5x2x24f ( x ) = \frac { 5 x ^ { 2 } } { x ^ { 2 } - 4 } .


A) horizontal: y = -2;vertical: x = 5
B) horizontal: x = 2 and x = -2;vertical: y = -5
C) horizontal: y = 5;vertical: x = 2 and x = -2
D) horizontal: x = -5;vertical: y = 2 and y = -2
E) horizontal: y = 5;vertical: x = 2

Correct Answer:

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