Find the equations of any vertical asymptotes.
-
A) y = 1, y = -4
B) x = 1, x = -4
C) x = -1, x = 4
D) y = 3

Question

Find the equations of any vertical asymptotes.
-
A) y = 1, y = -4 
B) x = 1, x = -4 
C) x = -1, x = 4 
D) y = 3

Quizplus · Accepted Answer

Vertical asymptotes occur when the denominator of a rational function equals zero, causing the function to increase or decrease without bound as it approaches that point. To find the vertical asymptotes of this function, we need to identify where the denominator is equal to zero.

Setting the denominator equal to zero, we get:

(x - 1)(x + 4) = 0

This gives us two solutions: x = 1 and x = -4. Therefore, the equations of the vertical asymptotes are x = 1 and x = -4, which corresponds to choice B. Vertical asymptotes occur when the denominator of a rational function equals zero. Looking at the graph, we can see that there are vertical asymptotes at x=1 and x=-4. Therefore, the correct choice is B, which gives the equations of the vertical asymptotes as x=1 and x=-4.

Find the Equations of Any Vertical Asymptotes