Judging the parity of function f (x) - f (- x) | Math enthusiast | Mathematical art

Judging the parity of function f (x) - f (- x)

g(x)= f(x)-f(-x)
g(-x)= f(-x)-f(x)=-g(x)
therefore
If the axis of symmetry is not symmetric about the origin, it is a non odd non even function
If the axis of symmetry is symmetric about the origin, it is an odd function

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