Determine the horizontal and vertical asymptotes

The video tutorial explains how to identify removable and non-removable discontinuities in functions, focusing on vertical and horizontal asymptotes. It covers the process of determining the domain and range of a function, emphasizing the absence of discontinuities when the denominator never equals zero. The tutorial also discusses the rules for horizontal asymptotes based on the degree of the numerator and denominator.

What are removable discontinuities and how do they differ from non-removable discontinuities?

How do you determine the vertical asymptote of a function?

Explain why the vertical asymptote may not exist for certain functions.

What is the domain of a function with no discontinuities?

What is the significance of the horizontal asymptote in relation to the degrees of the numerator and denominator?