## odd function symmetric to?

### An odd function is a mathematical function that satisfies the property f(-x) = -f(x) for all values of x in its domain

An odd function is a mathematical function that satisfies the property f(-x) = -f(x) for all values of x in its domain. This means that if you reflect the graph of an odd function across the y-axis, it will look exactly the same, except that it will be flipped upside-down.

The symmetry property of an odd function is actually referred to as “origin symmetry” or “point symmetry”. This is because the origin, which is the point (0,0) on the coordinate plane, acts as the symmetry point for the graph of an odd function.

In other words, if you take any point (x, y) on the graph of an odd function, its reflection across the origin will be (-x, -y), which also lies on the graph. This symmetry can be visually represented by observing that the graph of an odd function is unchanged if you rotate it by 180 degrees about the origin.

Therefore, an odd function is symmetric to the origin.

##### More Answers:

Understanding Even Functions | Properties and ExamplesUnderstanding Even Functions | Symmetry Around the Y-Axis in Mathematics

Understanding Odd Functions | Symmetry, Zeros, and Powers