Using a technique from art class, this activity helps students visualize the reflection of the graph of a function about the line y=x when sketching a function and its inverse. Students who went on to calculus tell me this was one of the activities they remembered from my Pre-Calc class.
Be sure to turn on the annotations (if it is off) to see the directions and comments. This time, I decided to spare you from my voice and some random Creative Commons licensed background music I would usually add to videos.
I suppose you can also use this strategy in Geometry to help students visualize reflections. The novelty factor from doing this in a Pre-Calc class really helped students remember how a function and its inverse are connected graphically. This is especially useful when learning about logarithmic functions.
PS: This is my first time playing with annotations on youtube.