An even function is symmetrical with respect to the y-axis.
An odd function looks like this
An odd function is symmetrical with respect to the orgin (0,0)
These graphs are exactly the same as saying an even function is f(-x) = f(x) and an odd function is f(-x) = -f(x).
Even Function:
This is so because for any function of f(x),when you alter the input (x) the graph of the function transforms. In this case when the input is made negative, the image of the graph is mirrored. Therefor for, if a graph that is symmetrical about the y-axis is transformed into f(-x) it will be exactly the same as the orginal function.
Odd Function:
nice...btw i copied your odd function image..
ReplyDeletei hope its ok
hey like the pictures,,they are very accurate!,,i was looking for some like those but could't find any..lucky !
ReplyDeleteOoh, excellent job on that last paragraph. What about for odd functions though?
ReplyDelete