What is the horizontal line rule? It's a variation of the vertical line test, of course. Find out what it means to take the inverse of a function and restrict the domain.

Resources

- Notes: Inverse of a Function

Assignment

- p51 #1-6, 8, 9, 12, 15, 20, 21 C1 C2 C3

Things you should know after today:

- how to find the equation for the inverse of a function
- how the coordinates of a function,
*f(x)*, are related to the coordinates of the inverse function,*f*^{-1}(x) - how the graphs of a function and its inverse are like reflections
- how the line
*y=x*is important to reflections, functions and their inverse - the horizontal line rule
- why a domain is restricted when making an inverse
- determine what happens when you do
*f(f*^{-1}(x))