Find the Horizontal and Vertical Asymptotes of a rational function

The video tutorial explains how to find the domain and asymptotes of a rational function. It begins by identifying the domain by setting the denominator to zero. The tutorial then covers horizontal asymptotes by comparing exponents of the polynomials and determining the asymptote based on their relationship. Vertical asymptotes are found by setting the numerator to zero. The lesson concludes with a brief interruption.

What is the domain of a rational function if the denominator is set to zero and solved for x?

• Only positive numbers

• All real numbers

• All real numbers except the solutions to the denominator

• Only negative numbers

When the exponents of the numerator and denominator are equal, what is the horizontal asymptote?

• y = 0

• y = a/b

• y = x

• No horizontal asymptote

If the exponent of the numerator is less than that of the denominator, what is the horizontal asymptote?

• y = x

• No horizontal asymptote

• y = a/b

• y = 0

What happens to the horizontal asymptote when the exponent of the numerator is greater than that of the denominator?

• y = a/b

• y = x

• y = 0

• No horizontal asymptote

How do you find the vertical asymptote of a rational function?

• Set the numerator equal to zero

• Set both numerator and denominator equal to zero

• Solve for y

• Set the denominator equal to zero