The applet below graphically illustrates what it means for a function to be classified as an [color=#666666][b]EVEN FUNCTION[/b][/color][b]. [br][/b] [br]No matter where you choose to place the WHITE POINTS, the [color=#666666][b]gray function will always remain an[br]EVEN FUNCTION[/b][/color]. Feel free to place the [color=#1e84cc][b]BIG BLUE POINT[/b][/color] wherever you'd like as well. [br][br]After interacting with this applet for a few minutes, please answer the questions that follow.
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 [color=#666666][b]EVEN FUNCTION[/b][/color].
What can you conclude about the graph of any even function?
[i][b]Hint:[/b] [/i]Consider any symmetry that might be involved!