General Mathematics - Functions and Relations (Key Terms)

Vocabulary flashcards covering key terms from the notes on relations and functions, including domain, range, types of correspondences, and different representations of functions.

Relation

A relation is a set of ordered pairs.

Ordered Pair

A pair (x, y) representing an input-output in a relation.

Domain

The domain is the set of all x-values (first coordinates) in a relation.

Range

The range is the set of all y-values (second coordinates) in a relation.

Function

A function is a relation in which every x has a unique y.

f(x)

f(x) denotes the function value at x, read 'f of x'.

One-to-One Correspondence

Each input x is paired with exactly one output y.

Many-to-One Correspondence

Many inputs x can map to the same output y.

One-to-Many Correspondence

One input x can map to multiple outputs y.

Not a Function

A relation that is not a function because some x maps to more than one y.

Function in Ordered Pair Form

A function represented as a set of ordered pairs, e.g., {(1,6), (2,7), (3,8)}.

Function in Tabular Form

A function represented as a table of input-output pairs.

Function in Set Notation / Open Sentence

A function described using set notation or an open sentence (e.g., y = f(x)).

Function in Arrow Diagram / Mapping

A visual representation showing how each input maps to its output.

Function in Graphical Form

A graph illustrating the relationship between x and y for the function.