Piece-wise Function

My IB students are working on a portfolio project that will requires some piece-wise functions to model. I used the function below as a tongue-in-cheek example of a piece-wise function. Including the idea that changes in function type ideally have a contextual reason or event that changed the system or scenario being modeled.

Oddly enough they all understood what I was talking about...

Pseudo Context Minus the Context?

Saw this gem in my textbook today. It's maybe the third or fourth time this year I have cracked the book. This was a good reminder why I do it so infrequently...

The only thing that is decaying is our student's attention or their hope that math class might be remotely interesting.