What is the horizontal asymptote test

The video tutorial explains the concept of horizontal asymptotes in rational functions. It begins with a brief overview of vertical and horizontal asymptotes, then delves into the conditions required to determine the presence of a horizontal asymptote. The tutorial emphasizes the importance of leading coefficients and degrees of terms in the numerator and denominator. It explains how to handle cases where the degrees are equal and concludes with a summary of the horizontal asymptote test.

What is the primary difference between vertical and horizontal asymptotes?

• Vertical asymptotes occur when the denominator is zero.

• Horizontal asymptotes are determined by the coefficients of the terms.

• Horizontal asymptotes occur when the numerator is zero.

• Vertical asymptotes occur when the numerator is zero.

When is a horizontal asymptote present at y = 0?

• When the degree of the numerator is greater than the degree of the denominator.

• When the degrees of the numerator and denominator are equal.

• When the leading coefficient of the numerator is zero.

• When the degree of the numerator is less than the degree of the denominator.

How do you find the horizontal asymptote when the degrees of the numerator and denominator are equal?

• By subtracting the coefficients of the leading terms.

• By adding the coefficients of the leading terms.

• By dividing the coefficients of the leading terms.

• By multiplying the coefficients of the leading terms.

What happens when the degree of the denominator is greater than the degree of the numerator?

• There is a horizontal asymptote at y = 1.

• There is no horizontal asymptote.

• There is a horizontal asymptote at y = 0.

• There is a vertical asymptote.

If the leading coefficient of the numerator is 3 and the denominator is 6, what is the horizontal asymptote when their degrees are equal?

• y = 3

• y = 6

• y = 2

• y = 0.5