Question

How to check for vertical asymptotes in an equation?

A. Set the denominator equal to zero and solve for x.
B. Set the numerator equal to zero and solve for x.
C. Take the limit as x approaches infinity.
D. Find the critical points and evaluate the function at those points.

Answer 1

To check for vertical asymptotes in an equation, set the denominator equal to zero and solve for x. Then, take the limit as x approaches the values obtained to determine if there is a vertical asymptote.

Step-by-step explanation:

To check for vertical asymptotes in an equation, you need to follow these steps:

1. Set the denominator equal to zero and solve for x. This will give you the values of x for which the function is undefined.
2. Take the limit as x approaches the values obtained in step 1. If the limit is infinite or does not exist, there is a vertical asymptote at that x value.

Option A in the question is correct: Set the denominator equal to zero and solve for x.