Relations and Functions

Relation

Set of ordered pairs

Function

Relation in which each input is assigned to exactly one output

Domain

Set of inputs

Range

Set of outputs

Continuous function

When domain includes all real numbers

Discrete function

When domain includes just whole numbers or integers

One – to – one function

If no two elements of the domain map to the same element in the range

Maps

Moves

translation

Shifts each point of the graph of a function the same distances (up, down, left, right)

Transformation

Maps each point of its graph to a new location