This is an activity for Algebra 2 classes on the study of function inverses. This activity focuses on the graphically representation of linear and quadratic inverses. It is aligned with the Common Core Standard F-BF 4.
The activity is a station activity with four stations. Each student is given the general note/activity sheet to follow with them through the stations. The students go to each station and write down what they observe about the two graphs that are presented. (I would give 5 minutes for each station)
Once each student goes through the stations I would give the students a highlighter or colored pencil and have them draw the line y=x so they can see that the inverse of functions is the reflection about the line y=x.
My closure would be for the students to now create their own linear equation with its' inverse.