Discontinuities of Functions

The video tutorial explores the concept of discontinuities in mathematical functions, focusing on how to identify them in equations and graphs. It covers vertical asymptotes, jump discontinuities, and holes, using graphing tools like Desmos for visualization. The tutorial also delves into piecewise functions and demonstrates how algebraic manipulation can reveal discontinuities not visible on graphs.

Describe the process of determining where a function is undefined based on its denominator.

How does graphing technology help in understanding discontinuities, and what are its limitations?

What steps should be taken to analyze a piecewise function for discontinuities?