The definition for an even function would be f(x) = f (-x), when the graph is symmetrical about the y axis.
If you were to plug in 1 for x, then it would be -1 for -x, pretty simple.
y = x is probably a really easy example of an even funtion.

Odd:
The definition of an odd funtion would be f(-x) = -f(x) ( when the graph flips over the y axis, like the even funtion, then shifts over the x axis, so basically symmetrical to the origin)
x^3 is an example of an odd function
f changing to -f causes the graph to flip over the x axis
and -x changing to x would flip it over the y axis
how do you get the graphs?? I got mine off from google. but is there a way to draw the graphs ourselves?
ReplyDelete