### Functions

### Lesson 5: Periodic Function

(1) What is the meaning of "periodic"?

A periodic function f is one that repeats its values in regular intervals of length I. (I.e. its graph repeats itself every interval of length I.

I is also known as the "period" of the function.

Notation:

Example 1

f (x) = sin x is a periodic function with a period .

Example 2

A function g is defined as follows:

Sketch the graph of g for and find the value of g(17).

Solution