How to find the inverse of functions by using restrictions

The video tutorial covers graph transformations, finding inverses, and domain restrictions. It explains how to sketch graphs, find inverses of functions, and restrict domains to ensure the inverse is a function. The tutorial also discusses analyzing quadratic functions and understanding domain and range, emphasizing the importance of correct notation and visualization.

In the context of graph transformations, why is it important to restrict the domain when finding an inverse?

What is the process for graphing a quadratic function, and how does it differ when considering restrictions on the domain?

How do you determine the range of a function based on its graph, and how does this relate to the domain of its inverse?