1. Chapter 13: Trigonometric and Circular Functions
Section 13-1:
Introduction to Periodic Functions
Chapter 13: Trigonometric and Circular Functions

2. Objectives
Given a situation from the real world with two related variables:
Sketch a reasonable graph showing how those two variables are related.
Tell whether or not the function is periodic.

3. Example 1
The depth of the water at the beach depends on the time of day due to the motion of the tides.

4. Example 2
The distance required to stop your car depends on how fast you were going when you applied the breaks.

5. Example 3
The temperature of a cup of coffee depends on how long it has been since the coffee was poured.

6. Example 4
As you breathe, the volume of air in your lungs depends on time.

7. Example 5
A gymnast is jumping up and down on a trampoline. Her distance from the floor depends on time.

8. Example 6
The distance you go depends on how long you have been going (at a constant speed).

9. Example 7
As you ride the Ferris wheel at the amusement park, you distance from the ground depends on how long you have been riding.

10. Example 8
The average temperature for any particular day (averaged over many years) depends on the day of the year.

11. Example 9
A pendulum swings back and forth in a grandfather clock. The distance from the end of the pendulum to the left side of the clock depends on time.

12. HOMEWORK:
Finish
Worksheet