Algebra/Chapter 11/Extrema and Continuity

Even and odd functions Even functions An even function is defined as a function such that . Geometrically an even function can be defined as a function that exhibits a mirror image symmetry across the y-axis (the vertical line that passes through the origin). An example of an even function is because and because for all real numbers x. Odd functions An odd function is defined as a function such that . Geometrically an odd function can be defined as a function that exhibits a 180 degree rotational symmetry about the origin. An example of an odd function is because for all real numbers x, for example