Even and Odd Functions

Symmetry: odd function?

The function, $f(x)=x^3-9x$ is odd since the graph is symmetric about the origin. One can also check that any point is symmetric about the origin: for example, does $(-1,8)$ yield $(1,-8)$? Yes, those two points are symmetric about the origin.

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"Original figure by Julien Coyne. Licensed CC BY-SA 4.0."

Julien Coyne CC BY-SA 3.0.

Even and Odd Functions

Symmetry: odd function?

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