Find the Vertical, Horizontal and Slant Asymptote

The video tutorial covers how to find X and Y intercepts, vertical, horizontal, and slant asymptotes of a rational function. It explains that the X intercept does not exist due to imaginary roots, while the Y intercept is found by setting X to zero. Vertical asymptotes are determined by setting the denominator to zero. The tutorial also discusses the absence of horizontal asymptotes and the presence of a slant asymptote, which is calculated using synthetic division.

What is the definition of the X intercept?

How do you find the Y intercept of a function?

What is the significance of the vertical asymptote in a rational function?

What does it mean if a function has no horizontal asymptote?

What is the relationship between the degrees of the numerator and denominator in determining the type of asymptote?

Explain the process of finding a slant asymptote.

Describe the steps involved in using synthetic division to find the slant asymptote.