1. Periodic Function Repeats a pattern at regular intervals

2. · A lot of things in the real world have periodic patterns over time.

4. In a periodic function f(x + nP) = f(x) If you add even amounts to “x”, you get the same answer for “y.”

5. A periodic function must repeat the exact same thing over and over again.

6. Yes No

7. All trigonometric functions are periodic . Because if you add 360o
All trigonometric functions are periodic  Because if you add 360o (or 2 radians), you will get the same result.

8. Period . How long it takes before. the function starts to. repeat 
Period  How long it takes before the function starts to repeat  Also called wavelength

10. Period = 1 Period = 2 Period = 5

11. Center  The y-value (often zero) that is in the middle of the graph.  Also called “vertical shift”

13. Center = 1 Center = 2 Center = .5

14. Amplitude . How far above and below. the center the graph. extends 
Amplitude  How far above and below the center the graph extends  “Height” (though only half) of the graph

16. Amplitude = .5 Amplitude = 6 Amplitude = 6