# Even and odd Functions

(redirected from*Odd functions*)

## Even and odd Functions

in mathematics. The function *y* = *f*(*x*) is said to be even if its value does not change when the sign of the independent variable changes—that is, if *f*(*–x*) = *f*(*x*). If, however, *f*(*–x*) = *–f*(*x*), then the function *f*(*x*) is said to be odd. For example, *y* = cos *x* and *y* = *x*^{2} are even functions, and *y* = sin *x, y* = *x*^{3} are odd functions. The graph of an even function is symmetric with respect to the *y*-axis, and the graph of an odd function is symmetric with respect to the origin.