even function

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The real function f is an even function if f(−x)=f(x) for all x (in the domain of f). Thus the graph y=f(x) of an even function has the y-axis as a line of symmetry. For example, f is an even function when f(x) is defined as any of the following: 5, x2, x6−4x4+1, 1/(x2−3), cos x.

Subjects: Mathematics.

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