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Even and odd functions
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Even functions satisfy f(−x)=f(x) and have symmetry in the y-axis, while odd functions satisfy f(−x)=−f(x) and have origin symmetry.
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Even functions
AHL 2.14
An even function is one for which
f(−x)=f(x) for all x∈R
Graphically, this means the function is symmetric in the y-axis:
Odd functions
AHL 2.14
An odd function is one for which
f(−x)=−f(x) for all x∈R
Graphically, this means the function has pointwise symmetry with the origin:
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