Piecewise Function with Holes

The video tutorial introduces piecewise functions, explaining their characteristics and how to graph them. It covers the concept of domain and range in piecewise functions, using examples to illustrate these ideas. The tutorial also explores quadratic piecewise functions and provides guidance on using Desmos for graphing. Throughout, the instructor emphasizes understanding the graphical representation and the importance of defining domain and range.

What is the domain and range of the piecewise function discussed in the text?

How does the graph of a quadratic function behave when it has a restriction like X cannot equal -2?