Functions

Definition of function

A relation where each input has only one output

Definition of dependent variable

A variable whose value depends on the values of the other variables

Definition of independent variable

A variable whose value determines the values of the other variables

Definition of relation

The matching of elements from domain to the codomain

Elements in the domain

Known as objects

Elements in the codomain that are matched with the objects

Known as images

Definition of one-to-one function

A relation where the object in the domain has only one image

Definition of many-to-one function

A relation where more than one object is matched to the same image

Definition of one-to-many relation

A relation where the object in the domain has more than one image

Definition of many-to-many relation

A relation where at least one object has more than one image, and more than one object has the same image