Students learn math concepts best when discovering mathematical patterns on their own rather than being told by the teacher. This activity is designed to have the students discover when a polynomial function is even or odd
1. Students have learned the basics of functions
2. Students have learned functional notation
3. Students have been introduced to polynomial functions
4. Students know how to graph a function by hand given a table of values
Students are presented with the definition of an even or odd function. They then have to examine the points on the graph to help them understand how to recognize an even or odd function.
Students are asked to fill out a table to help them find points that are symmetrical with respect to the y-axis (even functions) or symmetrical with respect to the origin (odd functions). They are then given follow-up questions to help them to better understand the underlying concepts in regards to even and odd functions.