VocabularyChapter 4

In a relationship between variables, the variable that changes with respect to another variable is called the

Dependent variable and the variable it changes in response to is the

Independent variable.

Values of the independent variable are the

Inputs and values of the dependent variable are the

Outputs.

A relationship that pairs each input value with exactly one output value is called a

Function.

A function whose graph is a nonvertical line or part of a nonvertical line is called a

Linear function.

A function whose graph is not a line or part of a line is called a

Nonlinear function.

An equation that describes a function is called a

Function rule.

A graph that is unbroken is called a

Continuous graph.

A graph composed of isolated points is called a

Discrete graph.

A pairing of numbers from one set with numbers from another set is called a

Relation.

A relation is often represented as a set or ordered pairs (x, y). In this case the set of all x-values is called the

domain. And the set of all y-values is called the

Range.

An ordered list of numbers that often form a pattern is called a

Sequence.

Each number in a sequence is called a

Term of the sequence.

If the difference between consecutive terms of a sequence is constant then the sequence is called an

Arithmetic sequence.

In an arithmetic sequence the difference between consecutive terms is called the

Common difference.

If the first term of an arithmetic sequence is a and the common difference is d, then the function rule for the nth term, A(n) is given by

A(n) = a + (n – 1)d