Even function:
"for all real numbers x in its domain, f(x) = f(-x)"
Odd function:
"for all real numbers x in its domain, f(x) = -f(-x)"
Symmetrical domain:
"for these definitions to be valid, the demain D of f has to be symmetrical about 0: if x is in the domain, so is -x"
Theorem:
"any function f with a symmetrical domain can be written as the sum of an even function g and and odd funtion h"
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