Even and odd Functions

(redirected from Odd and even functions)
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

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 = x2 are even functions, and y = sin x, y = x3 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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.