How to determine the VA of a function

The video tutorial explains vertical asymptotes as points where a function becomes undefined, typically in rational functions. It describes how to find vertical asymptotes by setting the denominator equal to zero. An example is provided to illustrate the process, showing that the vertical asymptote occurs at a value where the function is undefined. The tutorial concludes with a reminder of the importance of identifying vertical asymptotes in mathematical analysis.

What are vertical asymptotes in the context of a function?

• Points where the function is continuous

• Points where the function is undefined

• Points where the function has a maximum

• Points where the function is defined

How do you determine the vertical asymptotes of a rational function?

• By finding the derivative of the function

• By setting the numerator equal to zero

• By setting the denominator equal to zero

• By solving for the x-intercepts

In the example provided, what is the value of the vertical asymptote?

• 0

• 1

• 2

• Undefined

Why is the vertical asymptote considered a point of discontinuity?

• Because the function has a derivative at that point

• Because the function is undefined at that point

• Because the function is continuous at that point

• Because the function has a maximum at that point

What happens to the function at the vertical asymptote?

• The function becomes constant

• The function becomes negative

• The function becomes infinite

• The function becomes zero