Algebra 93 - Rational Functions and Nonvertical Asymptotes

The video tutorial explores the concept of asymptotes in rational functions, focusing on vertical, horizontal, and curvilinear types. It explains how vertical asymptotes occur when the denominator is zero, while non-vertical asymptotes are approached as x values grow. The tutorial details how to determine the type of asymptote by comparing the leading terms of the numerator and denominator. Examples illustrate horizontal asymptotes, and the video concludes with a discussion on oblique and curvilinear asymptotes.

How do curvilinear asymptotes differ from vertical asymptotes?

Explain how the behavior of a rational function changes as X approaches large positive or negative values.

What is the significance of the coefficients of the leading terms in determining the position of horizontal asymptotes?

What is an oblique asymptote and how is it determined?