Definition and Examples
The concept of evenness or oddness is only defined for functions whose domain and range both have an additive inverse. This includes additive groups, all rings, all fields, and all vector spaces. Thus, for example, a real-valued function of a real variable could be even or odd, as could a complex-valued function of a vector variable, and so on.
The examples are real-valued functions of a real variable, to illustrate the symmetry of their graphs.
Read more about this topic: Even And Odd Functions
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