Periodic Functions Worksheet with Answer Key

What's on the worksheet

1. Each list gives the values of a function at x = 0, 1, 2, in order.
   3, 1, 1, 5, 3, 1, 1, 5, 3, 12, 7, 7, 2, 7, 7, 2, 7, 7, 24, −1, 2, 4, −1, 0, 4, −1, 2, 4, −1, 0, 41, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1
2. The figure shows part of a heartbeat trace, with h the height of the trace in millimeters on the paper strip and t the time in seconds.
3. Find the period of each function.
   (-1)^{\lfloor x \rfloor}\lfloor 2x \rfloor - 2\lfloor x \rfloor\sin x + |\sin x|
4. Maya makes a playlist of four songs that play in order, song 1 to song 4, and then start over with no gaps.
5. Carlos, a park ranger, works a repeating schedule: