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Tool to check the parity of a function (even or odd functions): it defines it's ability to verify symmetrical relations.

Answers to Questions

How to check if a function is even?

A function is even if the equality $$ f(x) = f(-x) $$ is true for all x from the domain of definition.

Graphically, this involves that opposed abscissae have the same ordinates, this means that the ordinate axis is an axis of symmetry of the curve representing f.

How to check if a function is odd?

A function is odd if the equality $$ f(x) = -f(-x) $$ is true for all x from the domain of definition.

Graphically, this involves that opposed abscissae have opposed ordinates, this means that the origin (central point) (0,0) is a symmetry center of the curve representing f.

NB: if an odd function is defined in 0, then the curve passes at the origin: $$ f(0) = 0 $$

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