Graph Piecewise Functions

The video tutorial covers graphing functions separately, starting with y = 3, a basic algebra topic. It explains transformations, including shifts and asymptotes, and how to graph with constraints. The instructor adjusts graph values to avoid errors and identifies the domain and range of the function.

What is the first function mentioned in the text, and how is it represented?

Explain how the graph of y = 1/X is transformed when a value is added or subtracted.

What are asymptotes, and how do they change when the graph is shifted?

Describe the significance of the point (1,1) in the context of the graph discussed.

What does the term 'hole' refer to in the context of graphing functions?

What is the domain of the function discussed, and why is it important?

How does the range of the function relate to its graph?