Learning how to find the inverse of a quadratic and using restrictions

The video tutorial covers the concept of functions, focusing on the function F(x) = x^2. It explains how to determine if a graph represents a function using the vertical line test. The tutorial then explores inverse functions, highlighting the horizontal line test to check if an inverse is a function. It demonstrates how to find the inverse of a function by swapping variables and solving for y. The video concludes by explaining how to restrict the inverse to the positive square root to make it a function.

What is the significance of the Y = X line in the context of graphing inverses?

How can the graph of the inverse function be represented when applying a restriction?

Discuss why not all inverses of functions are functions, based on the information provided.