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Concept

Odd Symmetry

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
An odd symmetry means graphically that the graph is rotated about the origin. Therefore, changing the sign of the -value also changes the sign of the function value.

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