Intervals of Increase and Decrease of a Function
- Amanda Von Ehwegen
The turtle below (let's call her Poly) has decided to leave her home and head off to college. Of course, turtles can't drive cars so she has to walk. Unfortunately for Poly, she has to walk up a few hills before she arrives at her destination. Each time she reaches the top or the bottom of a hill, she takes a break. Click on Poly when she stops and think about how Poly might be feeling after each stop.
Answer the following questions and be prepared to share your answers with the class. 1) When Poly left for college, was she walking up hill or down dill? 2) After Poly's first break (Point D), was she walking up hill or down hill? 3) After Poly's second break (Point E), was she walking up hill or down hill? 4) Mathematically, what do we call point D and point E? 5) Point D and E are important. What happened every time Poly reached point D and E? 6) Poly traveled from west to east. How would you describe Poly's movement from west to east? Would you use the x coordinate or the y coordinate? 7) Poly had to go up some hills and down some hills. Using the words increasing and decreasing, describe Poly's movement as she went up and down the hill.