Even/Odd Functions

A function is even if, for each x in the domain of f ,   f( x )=f( x ) .  Even functions have reflective symmetry across the y -axis.

Example of an even function:

f( x )= x 2 f( x )= ( x ) 2 = x 2 =f( x )

        

 

A function is odd if, for each x in the domain of f f( x )=f( x ) .  Odd functions have 180° rotational symmetry about the origin.    

Example of an odd function:

f( x )= x 3 f( x )= ( x ) 3 = x 3 =f( x )