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Find the Domain of the Function and Identify Any Vertical f(x)=x2x24f ( x ) = \frac { x - 2 } { x ^ { 2 } - 4 }

Question 402

Multiple Choice

Find the domain of the function and identify any vertical and horizontal asymptotes.
f(x) =x2x24f ( x ) = \frac { x - 2 } { x ^ { 2 } - 4 }


A) The domain is all real numbers x except x = ±2. There is a vertical asymptote at x = -2, and a horizontal asymptote at y = 0.
B) The domain is all real numbers x except x = ±2. There is a vertical asymptote at x = -2, and a horizontal asymptote at y = 12\frac { 1 } { 2 } .
C) The domain is all real numbers x. There is a vertical asymptote at x = -4, and a horizontal asymptote at y = 0.
D) The domain is all real numbers x except x = ±4. There is a vertical asymptote at x = -4, and a horizontal asymptote at y = 0.
E) The domain is all real numbers x except x = ±4. There is a vertical asymptote at x = -2, and no horizontal asymptote.

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