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{{ printedBook.courseTrack.name }} {{ printedBook.name }} An odd function is a function for which $f(-x)=-f(x)$ for all $x$ in its domain. The graph of an odd function has odd symmetry, which means that it is symmetric about the origin. The functions $y=x$ and $y=x_{3}$ are two examples of odd functions.

There are infinitely many odd functions and the shapes of their graphs display a large variety.

A function that is not odd, is either an even function or neither even nor odd.