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A function f on R is an even function if for all x in the domain of f,

f(x) = f(-x).

Such a function is symmetric with respect to the y-axis when graphed.

A function f on R is an odd function if for all x in the domain of f,

-f(x) = f(-x).

Such a function has rotational symmetry with respect to the origin.

Examples

is a even function but is odd. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X^5 +56x+909} is neither.

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