Functions and Relations Review

Flashcards for reviewing lecture notes on functions and relations.

Function

A special kind of relation in which no two distinct ordered pairs have the same first element.

Independent Variable

The input value of a function.

Dependent Variable

The output value of a function.

Piecewise Function

A function composed of two or more expressions for different parts of the domain.

Relation

A set of objects grouped with one another representing a pattern, or simply a set of ordered pairs.

One-to-One Correspondence

Each value of the independent variable (x) is unique and associated with a unique value of the dependent variable (y).

Many to One Correspondence

Two or more values of x are associated with the same value of y.

One to Many Correspondence

Some values of x are associated with more than one value of y.

Many to Many Correspondence

Some values of x and y are associated with more than one value of their counterpart.

Vertical Line Test

A test to determine if a graph represents a function; a vertical line should intersect the graph at only one point.

Table of Values

A graphic organizer or chart that helps with evaluating functions.