Finding the horizontal and vertical asymptotes of a function

What is the first step in finding the vertical asymptotes of a rational function?

• Find the derivative of the function

• Set the denominator equal to zero

• Set the numerator equal to zero

• Integrate the function

Why can't a graph cross a vertical asymptote?

• Because it would make the function undefined

• Because it would make the function quadratic

• Because it would make the function continuous

• Because it would make the function linear

How do you determine the vertical asymptotes after factoring the denominator?

• Set the numerator equal to one and solve for x

• Set the numerator equal to zero and solve for x

• Set each factor equal to one and solve for x

• Set each factor equal to zero and solve for x

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

• y = infinity

• y = 1

• y = x

• y = 0

How do you compare the degrees of the numerator and denominator to find horizontal asymptotes?

• By multiplying the degrees

• By comparing which is larger

• By subtracting the degrees

• By adding the degrees