Find the Domain of the Function and Identify Any Vertical $f ( x ) = \frac { x + 4 } { x ^ { 2 } - 16 }$

Multiple Choice

Find the domain of the function and identify any vertical and horizontal asymptotes.
$f ( x ) = \frac { x + 4 } { x ^ { 2 } - 16 }$

A) 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.
B) The domain is all real numbers x except x = ±4. There is a vertical asymptote at x = -16, and a horizontal asymptote at y = 0.
C) The domain is all real numbers x except x = ±16. There is a vertical asymptote at x = -16, 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 = ±16. There is a vertical asymptote at x = -4, and a horizontal asymptote at y = 0.