## What is a cubic function in math?

## What is the domain of the cube function?

- This is
**the**Cube**Function**: It has origin symmetry. And it is an odd**function**. Its Domain is**the**Real Numbers: Its Range is also**the**Real Numbers:

## How many possible graphs are there for a cubic function?

- Up to an affine transformation, there are only three possible graphs for cubic functions. Cubic functions are fundamental for cubic interpolation . The roots, stationary points, inflection point and concavity of a cubic polynomial x3 − 3 x2 − 144 x + 432 (black line) and its first and second derivatives (red and blue).

## Why is the inflection point the origin of a cubic function?

- For a cubic
**function**of**the**form**the**inflection point is thus**the**origin. As such a**function**is an odd**function**, its graph is symmetric with respect to**the**inflection point, and invariant under a rotation of a half turn around**the**inflection point. As these properties are invariant by similarity,**the**following is true for all cubic functions.

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