Odd functions
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A function that identically satisfies f(-x) = -f(x). For example, f(x) = x 3 , f(x) = sin x. A function is called an even function when it identically satisfies f(-x) = f(x). For example, f(x) = x 2 , f(x) = cos x. A graph of y = f(x) is symmetric about the origin if it is an odd function, and symmetric about the y-axis if it is an even function. Any function can be uniquely expressed as the sum of an odd function and an even function. Source : Heibonsha Encyclopedia About MyPedia Information |
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恒等的にf（−x）＝−f（x）を満足する関数。たとえばf（x）＝x3，f（x）＝sin x。恒等的にf（−x）＝f（x）を満足するときは偶関数という。たとえばf（x）＝x2，f（x）＝cos x。y＝f（x）のグラフは奇関数なら原点に関し対称，偶関数ならy軸に関し対称。任意の関数は奇関数と偶関数の和で一意的に表される。
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