# Odd Functions!

- Author:
- Tim Brzezinski

- Topic:
- Functions, Function Graph

The applet below graphically illustrates what it means for a function to be classified as an

**ODD FUNCTION****.**No matter where you choose to place the WHITE POINTS, the**gray function will always remain an ODD FUNCTION**. Feel free to place the**BIG BLUE POINT**wherever you'd like as well. After interacting with this applet for a few minutes, please answer the questions that follow.## 1.

Based solely upon your observations (and without looking it up on another tab in your web browser), describe what it means for a function to be classified as an **ODD FUNCTION**.

## 2.

What can you conclude about the graph of any odd function?

## 3.

Examine the function whose graph is shown in the applet below.
Feel free to adjust the value(s) of *a* and/or *b*.
Is this the graph of an odd function? Algebraically show why, using your conclusion from (1) as the basis for your reasoning. (Be sure to drag the **BIG BROWN POINT** around!)