Find the equations of any vertical asymptotes.
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A) x = 5, x = -8
B) x = -5
C) y = 5, y = -8
D) x = 10, x = -10

Question

Find the equations of any vertical asymptotes.
-
A) x = 5, x = -8 
B) x = -5 
C) y = 5, y = -8 
D) x = 10, x = -10

Quizplus · Accepted Answer

Vertical asymptotes occur when the denominator of a rational function (a function that is a ratio of two polynomials) equals zero, but the numerator does not. Looking at the graph, we see that there are two vertical asymptotes: one at x=5 and one at x=-8. Therefore, choice A is the best answer. Vertical asymptotes occur at the values of x that make the denominator of a rational function equal to zero. Therefore, in the given function, the vertical asymptotes occur at x=5 and x=-8, which are choice A.

Find the Equations of Any Vertical Asymptotes