I learned that even functions have y-axis symmetry and odd functions have origin symmetry. They are both symmetric but in different ways. If a function is even it will have a characteristic that for every -x value f(-x)=f(x). Same goes for odd functions, is it is odd it will have a characteristic that for every -x value f(-x)=-f(x). For example a quadratic function will always be even. In the same way any function to a odd power will be an odd function. Are there any families of functions that are not even or odd?
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