Learn how to find the horizontal asymptote

The video tutorial explains rational functions, focusing on their structure with a function in the numerator and a different one in the denominator. It covers the standard form of polynomials, emphasizing the importance of arranging terms by degree and identifying leading coefficients. The tutorial then introduces tests for horizontal asymptotes, explaining how the degrees of the numerator and denominator affect the asymptote. Finally, an example is provided to demonstrate calculating a horizontal asymptote using leading coefficients.

What is a rational function composed of?

• A single polynomial

• Two identical functions

• A function in the numerator and a different function in the denominator

• A constant value

In standard form, what do A and B represent in a polynomial?

• The degree of the polynomial

• The constant terms

• The leading coefficients

• The roots of the polynomial

What is the horizontal asymptote if the degree of the numerator is less than the degree of the denominator?

• y = 0

• There is no horizontal asymptote

• y = a / b

• y = 1

If the degrees of the numerator and denominator are equal, how is the horizontal asymptote determined?

• By the sum of the leading coefficients

• There is no horizontal asymptote

• By the quotient of the leading coefficients

• By the difference of the leading coefficients

In the given example, what is the horizontal asymptote when the degrees of the numerator and denominator are both one?

• y = 7

• y = 0

• y = 1

• There is no horizontal asymptote