In this activity, students will match their motion to a given graph by moving back and forth in front of a CBR unit. They will then describe their movements by writing a piece-wise defined equation for the motion.

Students graph three functions on the same domain that go through the same three points. They then find the shortest of each of the paths through these points using the CAS of their TI-89 and calculus.

This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.