# What is a Function

A function is a relationship between two sets. Most often, the elements of these sets are called x and y. These quantities are called definition range (definition quantity) and value range (value quantity). The definition range is formed by the x values (arguments), the value range by the assigned y values. These y-values are also called function values or ordinates. The function can be described by an equation and represented as a function graph in a coordinate system.

A function is an assignment that

each element xx from a set XX (also called a domain of definition)

clearly

assigns an element yy to a set YY (also called value range).

The element yy is called the function value at the point xx.

What is a function in simple definition?

What is the function in the math?

What is a function example?

What are functions in algebra?