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!)