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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