Chapter 13:Trigonometric andCircular Functions

Section 13-1:Introduction to

Periodic Functions

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.

Example 1

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

Example 2

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

Example 3

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

Example 4

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

Example 5

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

Example 6

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

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.

Example 8

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

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.

HOMEWORK:

Finish Worksheet