Functions and Their Graphs

Module 1:  Exponential Functions

The attributes of exponential functions are examined in this module.  Students find that in contrast, exponential functions grow multiplicatively whereas linear functions grow additively.  The growth patterns in exponential functions are identified and connections made.   These connect the graph to the equation, including transformations of the parent function.

Module 2:  Functional Relationships

The module begins with a distinction of what is and what is not a function.  The  emphasis in this module is on quadratic functions. Connections are made between the equation and the graph.  This includes transformations, i.e., identifying horizontal and vertical shifts.  In the third lesson, students build functions from other functions.