Provide an appropriate response.
-Find the vertical asymptote(s) of the graph of the given function.
A) y = -3
B) x = -8
C) x = -6
D) y = 8

Question

Provide an appropriate response.
-Find the vertical asymptote(s) of the graph of the given function. 
A) y = -3 
B) x = -8 
C) x = -6 
D) y = 8

Quizplus · Accepted Answer

The vertical asymptote(s) of a rational function occur where the denominator of the function is equal to zero and the numerator is not equal to zero. In this case, the denominator is (x + 6)(x + 8), so the vertical asymptotes occur at x = -6 and x = -8. Therefore, the best choice is C. In order to find the vertical asymptote(s) of a function, we need to find the value(s) of x that would make the denominator of the function equal to zero. Looking at the graph, we can see that there is a vertical line where the function approaches infinity in both directions. This would occur when x is equal to -6, making the denominator of the function zero. Therefore, the correct answer is C) x = -6.

Provide an Appropriate Response