Even and Odd Functions

A function y = f(x) is an

even function of x if f(-x) = f(x),

odd function of x if f(-x) = -f(x),

for every x in the function's domain.

this got me a bit confused but now i get it.

ok... so when the function is even, it relfelcts it throught the y -axis.

sort of like a mirror on the y-axis that makes the excact same shape and everything in on the next quadrant.

for example....

this is an even functon because it is mirrored throught the y-axis.

the 2 points are equidistant from the x-axis and the y-axis. thus makin it an even function.

now the odd functioon is different yet similar to the even function.

for the odd function, it is reflected on the quadrtant diaganal to it.

if you think about folding a paper, fold it in half hot dog way then again half hamburger way.

if you dont understand this, then maybe the picture will...

can you see it now??

if not, imagine that it brke at the origin and when it went back up, it left its mark.

well, at least thats my way of understanding it.