This activity is a great way for students to review the first and second derivative tests and describe key features of a function. Students will work in pairs (recommended) to take a function and use the first and second derivative tests to find intervals of increase and decrease as well as intervals of concavity. Students will be given the following:

- 10 function cards (A-J)

- 10 first derivative test conclusions (colors)

- 10 second derivative test conclusions (food)

Students will find a group of 3 that represents the function, increasing and decreasing intervals and intervals of concavity to create a set

(example: A – Green – Pizza).

There are polynomials, radicals, rational and trigonometric functions in this activity (no exponential or logarithmic).

I recommend printing a number of copies with assorted color paper and laminating them if you do plan on using them again.

Answer sheet and answer key is provided.