Brett has contributed a great piecewise function lesson. In my own curriculum, I concentrate on piecewise linear functions. In my own belief, this is the extent to which we should cover piecewise. But, we have been seeing multiple piecewise functions show up on the New York State CC Algebra I exam that have various types of functions in them. So, Brett made up this great lesson to address those.
I’m posting it in both pdf and Word formats because I had a bit of a problem with the Word format on my home computer. Take a look if you want a nice lesson that addresses more complex piecewise functions.