Learning to identify horizontal and vertical asymptotes of a function

The video tutorial explains how to find vertical and horizontal asymptotes of a function. It begins by discussing the identification of vertical asymptotes, emphasizing the importance of checking for discontinuities and ensuring the function cannot be simplified further. The process involves setting the denominator equal to zero and solving for x. The tutorial then shifts to horizontal asymptotes, explaining the need to compare the degrees of the numerator and denominator. If the degrees are the same, the horizontal asymptote is the ratio of the leading coefficients. The video concludes with a calculation example, demonstrating the steps to find both types of asymptotes.

What is the first step in identifying vertical asymptotes?

• Find the highest degree term

• Simplify the function completely

• Set the denominator equal to zero

• Set the numerator equal to zero

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

• x = 1

• x = -3

• x = 3

• x = 0

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

• By adding the coefficients

• By subtracting the coefficients

• By dividing the leading coefficients

• By multiplying the coefficients

Why is it important to write the polynomial in descending order when finding horizontal asymptotes?

• To find the vertical asymptote

• To easily identify the leading coefficient

• To simplify the function

• To eliminate discontinuities

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

• y = 0

• y = 1

• y = -1

• y = 3