Michael F. answered • 09/02/18

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odd and even functions are symmetrical with respect to the y axis or with respect to the orgin

f(-x) = f(x) is symmetrical to the y axis and is an even function; example f(x) = x^2

f(-x) = f(x) is symmetrical to the orgin and is an odd function; example f(x) = x^3

Now consider the shifted functions f(x) = (x-2)^2 and f(x) = x^3 - 2 which are neither even nor odd functions.

Arturo O.

f(-x) = f(x)is symmetrical to the y axis and is an even function; example f(x) = x^2f(-x) = -f(x)is symmetrical to the origin and is an odd function; example f(x) = x^309/02/18