Ivan Shishkin, Birch Grove

Even function

Definition / Other / Usable

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Usable. This concept is clear enough to use, but has not yet been reviewed by another trusted user.

A function f:R→Rf:\R \rightarrow \R is even if, for all x∈Rx\in \R, f(−x)=f(x)f(-x)=f(x).

Examples and remarks

Practice this concept with exercises

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  • Montrer que les fonctions suivantes sont paires.
    1) x∈R⟼1+x2+2x4x\in\R\longmapsto 1+x^2+2x^4
    2) x∈R⟼x2+1x\in\R\longmapsto \sqrt{x^2+1}

    Open exercise
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