Algebra 94 - Rational Functions with Oblique or Curvilinear Asymptotes

The video tutorial by Professor von Schmohawk explores the concept of asymptotes in rational functions. It distinguishes between vertical and non-vertical asymptotes, explaining that rational functions can have multiple vertical asymptotes but only one non-vertical asymptote. The tutorial covers horizontal, oblique, and curvilinear asymptotes, detailing how to determine their shapes and positions using polynomial functions. Examples are provided to illustrate the calculation of these asymptotes. The video concludes with a preview of upcoming topics on logarithmic and exponential functions.

How does the degree of the numerator and denominator affect the type of asymptote?

What is the relationship between the exponents of the numerator and denominator in determining oblique asymptotes?

What steps would you take to calculate the asymptote for the function X^2 - X + 1 over X?

In what scenarios would a rational function have a curvilinear asymptote?