Find the vertical asymptote(s) of the graph of the given function.
-$$h ( x ) = \frac { x ^ { 2 } - 100 } { ( x - 2 ) ( x + 4 ) }$$
A) $x = - 2$
B) $x = 2 , x = - 4$
C) $y = 2 , y = - 4$
D) $x = 10 , x = - 10$

Question

Find the vertical asymptote(s) of the graph of the given function.
-$$h ( x ) = \frac { x ^ { 2 } - 100 } { ( x - 2 ) ( x + 4 ) }$$
A) $x = - 2$ 
B) $x = 2 , x = - 4$ 
C) $y = 2 , y = - 4$ 
D) $x = 10 , x = - 10$

Quizplus · Accepted Answer

The function $h(x)$ is undefined when the denominator equals zero, which occurs at $x = 2$ and $x = -4$, making these the values for which the function does not exist.

Find the Vertical Asymptote(s) of the Graph of the Given h(x)=x2−100(x−2)(x+4)h ( x ) = \frac { x ^ { 2 } - 100 } { ( x - 2 ) ( x + 4 ) }h(x)=(x−2)(x+4)x2−100​

Find the Vertical Asymptote(s) of the Graph of the Given $h ( x ) = \frac { x ^ { 2 } - 100 } { ( x - 2 ) ( x + 4 ) }$