1. Task 2: The Design A roller coaster can be based on mathematical functions, but they are more likely to be made up of pieces, each of which is a different mathematical function. This allows much more flexibility. Use piecewise functions to design your own roller coaster. (You will actually be modeling the height of the roller coaster over time.) Include a graph of the roller coaster. Your roller coaster MUST fit the following criteria:

2. A.Each of the pieces are connected to each other A.Uses at least 5 DIFFERENT functions/pieces

3. Once you have decided on a design of your roller coaster and have graphed it answer the following questions using the graph and the function. A.What is its starting height? 0 b. How long does the ride last? 15 c. What is its ending height? 2.25

4. d. Approximate how long it takes to reach its highest point? 3 e. Why would it be useful to be able to have equations for a roller coaster? so, the roller coaster should be continues line.

5. f. What kinds of things might you be able to figure out about the roller coaster? g. How might it help you to design or change the design?