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{{ printedBook.courseTrack.name }} {{ printedBook.name }} If a function has a symmetry, it is either *even* or *odd*. The symmetry is odd when the graph is symmetric about the origin.

If a function has odd symmetry, the rule it must follow is $f(-x)=-f(x).$ An odd symmetry means graphically that the graph is rotated $180_{∘}$ about the origin. Therefore, changing the sign of the $x$-value also changes the sign of the function value.

If this rule is satisfied on the entire domain, the function has odd symmetry.