logo

Video encyclopedia

Even and odd functions

2:44

How to Determine If a Function is Even or Odd

3:48

Is a Function Even or Odd?

3:56

Even and odd functions: Equations | Transformations of functions | Algebra 2 | Khan Academy

2:33

Both Even And Odd Function

3:06

Even and odd functions - problem type 1

In mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses. They are important in many areas of mathematical analysis, especially the theory of power series and Fourier series. They are named for the parity of the powers of the power functions which satisfy each condition: the function f(x) = xn is an even function if n is an even integer, and it is an odd function if n is an odd integer.