In this lesson, students will first be introduced to adding two constant functions graphically to develop an understanding of how to add two functions together.  Next students will add a constant function to a linear function and discover how that translates the graph of the linear function.  Students will also begin building the connection between the graphical sums and algebraic sums.  Students will be exposed to adding two linear functions together graphically before function notation is introduced.  Students will also be exposed to adding a constant and exponential function together as exponential functions are a key function type in Secondary Math 1.   Lastly, students will be challenged with adding a linear function and quadratic function together.  Students will make the connection that adding a linear function and quadratic function together will result in a quadratic function.

The intent of this problem is to have students think about how function addition works on a fundamental level, so formulas have been omitted on purpose.