define odd and even function
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in mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses. They are important in many areas of mathematical analysis, especially the theory of power series and Fourier series.
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A function is "odd" when:
−f(x) = f(−x) for all x
Note the minus in front of f(x): −f(x).
And we get originA function is "even" when:
f(x) = f(−x) for all x
In other words there is symmetry about the y-axis (like a reflection):
Even Function symmetry:
Step-by-step explanation:
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