This is an engaging Calculus drag and drop activity on interval of monotonicity and relative and absolute extrema of polynomial, rational and radical functions. Students have 12 task cards - 6 per slide. Each card contains two problems A and B.

Slide 1 (cards 1-6) -students have to determine the interval(s) of increasing/decreasing of the functions given. The first function is polynomial and the second is rational or radical. On slide 2 students have two tables and the answers are given there as movable pieces. Students have to drag and drop each interval into its correct place in the table on the left where there is typed the designation of each problem like 1A, 3C, etc.

Slide 2 (cards 7-12) - problem A is finding the relative extrema of a function and problem B is computing the absolute extrema of a function on a given interval. Slide 4 is like slide 2.

Slides 5 and 6 are the answer key slides.

Students can work independently or in pairs to complete the cards.