Roller Coaster Project - Investigate Piecewise Functions
al
Congratulations! You've graduated college as a Physics & Mathematics double major, and
you've scored your dream job working at Six Flags to help them design new roller coasters. In
the graph below, you will see that your boss has started developing the plan for a new roller
coaster · THE TIGER - but needs you to finish the job. Answer the questions below based on the
given piecewise function and the graph that is attached.
Given: The function f(x) will model the roller coaster's height from the ground in feet over
time, measured in seconds since the ride started.
5(2), 0 < x < 4 A
-5x2 + 40x
43x7 B
35, 75x9 С
--5(x - 12)2 + 80, 9
f
12
15 < x < 17 F
2.5x - 22.5, 17
G
-15x + 380, 23 Sx<25 H
5, 25 SX 27
1
f(x) =
Part I: Graphing
1) Graph the boundary lines for this function on the provided graph paper.
2) Based on the graph provided, use points on the line to determine the function for
Part E
3) Based on the graph provided, determine the function for Part F.
4) Graph parts A, B, C, D, G, H, and I on the graph paper.
