Learning to identify horizontal and vertical asymptotes of function

The video tutorial explains how to identify vertical and horizontal asymptotes in a function. It begins by discussing the importance of checking the denominator for vertical asymptotes and ensuring the function cannot be simplified further. The process involves setting the denominator equal to zero and solving for x. For horizontal asymptotes, the tutorial explains how to compare the degrees of the numerator and denominator, and use the ratio of their leading coefficients to find the asymptote. The video concludes with a summary of these methods.

What is the first step in identifying vertical asymptotes?

• Simplify the numerator

• Set the numerator equal to zero

• Find the highest degree term

• Set the denominator equal to zero

Why is it important to check for discontinuities when finding vertical asymptotes?

• They can be either holes or asymptotes

• They always simplify the function

• They are irrelevant to asymptotes

• They determine the degree of the numerator

What is the vertical asymptote of the function given in the video?

• X = 0

• X = -3

• X = 1

• X = 3

How do you determine the horizontal asymptote when the degrees of the numerator and denominator are the same?

• By multiplying the coefficients

• By dividing the leading coefficients

• By adding the coefficients

• By subtracting the coefficients

What is the horizontal asymptote of the function discussed in the video?

• y = 1

• y = -1

• y = 0

• y = 3