How to find the Asymptotes and Intercepts of a Rational Function

The video tutorial covers the concepts of horizontal and vertical asymptotes, explaining how to determine them using the degree of the numerator and denominator. It also discusses the zero product property to find values that make the function undefined. Additionally, the tutorial explains how to find X and Y intercepts by setting the numerator and constants to zero. A brief school lockdown announcement interrupts the lesson.

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

• y = -1

• y = x

• y = 0

• y = 1

How do you determine the vertical asymptotes of a function?

• By solving for x-intercepts

• By finding the derivative

• By setting the denominator to zero

• By setting the numerator to zero

What should you do to ensure there are no holes in the function?

• Check the degree of the numerator

• Factor both the numerator and denominator

• Find the derivative

• Set the numerator to zero

How can you find the x-intercept of a function?

• Find the derivative

• Use the constant term

• Set the denominator to zero

• Set the numerator to zero

What is the y-intercept of a function if the constant terms are -2 and -5?

• -5/2

• 2/5

• -2/5

• 5/2