Discontinuities of Rational Functions

The video tutorial covers the concept of discontinuities in functions, focusing on removable and non-removable types. It explains how to identify and differentiate between holes and vertical asymptotes using algebraic simplification of rational expressions. The tutorial includes several examples to illustrate these concepts and concludes with a discussion on continuous functions.

What are the three basic types of discontinuities discussed?

Explain what a removable point discontinuity is.

What characterizes an infinite discontinuity?

Describe the difference between a vertical asymptote and a hole in a graph.

How do you identify a jump discontinuity, and why was it not discussed in the video?

How can you determine if a discontinuity is removable or not?

What steps should you take to simplify a rational expression to identify discontinuities?

In the context of rational expressions, what does it mean if a discontinuity is fixed?

What is the significance of setting the denominator equal to zero when identifying discontinuities?

What is the process for finding the domain of a function with discontinuities?