How to determine if a function graph has an inverse and if the inverse is a function

The video tutorial explains the concept of functions, focusing on the vertical line test to determine if a graph represents a function. It introduces one-to-one functions, which require the horizontal line test to verify if a function has an inverse. The tutorial also covers graphing inverse functions by reflecting over the y=x line and discusses scenarios where inverses do not exist.

Discuss the implications of a graph failing the horizontal line test.

What does it mean for a graph to be reflective about itself in the context of inverses?

What steps would you take to determine if a given graph has an inverse?