<Dd> − f (x) = f (− x), (\ displaystyle - f (x) = f (- x),) </Dd> <Dl> <Dd> f (x) + f (− x) = 0 . (\ displaystyle f (x) + f (- x) = 0 .) </Dd> </Dl> <Dd> f (x) + f (− x) = 0 . (\ displaystyle f (x) + f (- x) = 0 .) </Dd> <P> Geometrically, the graph of an odd function has rotational symmetry with respect to the origin, meaning that its graph remains unchanged after rotation of 180 degrees about the origin . </P>

Product of two odd functions is even proof