What is a slant asymptote

The video tutorial explains vertical, horizontal, and slant asymptotes. It focuses on slant asymptotes, which occur when the degree of the numerator is greater than the degree of the denominator in a rational function. The tutorial demonstrates how to find slant asymptotes using long division, emphasizing that the remainder approaches zero as it goes to infinity. The slant asymptote is represented by a linear equation with a slope, unlike horizontal asymptotes, which have a slope of zero.

What is a slant asymptote and how does it differ from vertical and horizontal asymptotes?

How does the degree of the numerator and denominator affect the existence of slant asymptotes?

What conditions must be met for a function to have a slant asymptote?

Explain the process of finding a slant asymptote using long division.

Describe the significance of the quotient in determining the slant asymptote.