# Periodic Function Action!

- Author:
- Tim Brzezinski

- Topic:
- Trigonometric Functions

The applet below dynamically depicts what it means for a function to be classified as a

**periodic****function.**Interact with the applet below for a few minutes. As you do, be sure to move the 5 points anywhere you'd like. Answer the questions that follow.## 1.

What does the term "periodic" mean? What events in life would you classify as predictably "periodic"? Why would you classify these events this way?

## 2.

The **length of the purple segment** is said to be the **period** of the function *f*. Suppose the **period **of the function above = **5 units**. Also, suppose *f*(2) = 8. Given this information, **what other input values for function f would also result in an output of 8?**

## 3.

Suppose a function *f* has **period c**. How would you describe what it means for a function

*f*to be periodic in terms of

*x*and

**c**?