Even vs Odd Function Relationship

Even and Odd Functions
By Mai Tyler

An Even function exists when a function is symmetric to the Y-Axis, remaining the same after it is reflected about the Y-axis. An Even function fulfills the equation  F(x)=F(-x) for all x.

A graph of an Even function appears as follows:

An Odd function is a function symmetric with respect to the Origin, essentially meaning that the graph remains the same as it is rotated about the Origin. An Odd function fulfills the equation  ‑F(x)=F(-x) for all x.

A graph of an Odd function appears as follows:

It is important to note that some functions may be classified as neither odd nor even.