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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

Find the Domain of the Function and Identify Any Vertical f(x)=x+4x2−16f ( x ) = \frac { x + 4 } { x ^ { 2 } - 16 }f(x)=x2−16x+4​

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