Even Functions
- Author:
- Accesscd
- Topic:
- Function Graph, Reflection
Use the checkboxes to show the graphs of the functions one at a time. Each function will have a point that you can drag along the function. A point, marked as a prime point, will show the reflection of the point across the y-axis. A function is even if the reflections of the point always map back onto the graph itself.
1. Which functions are even - y = |x|, cos(x), or sin(x)?
2. The third checkbox displays the equation y = x to the nth power. Change the value of n.
a. What happens when n is a positive even number?
b. What happens when n is a positive odd number?
c. What happens when n is a negative even number?
d. What happens when n is a negative odd number?