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Input

A value that is substituted for the independent variable (x) in a relation or function.

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Output

The value that results from the substitution of a given input into an expression or function.

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Function

An input-output relationship that has exactly one output for each input.

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Domain

The set of x-coordinates of the set of points on a graph; the set of x-coordinates of a given set of ordered pairs. The value that is the input in a function or relation.

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Range

The y-coordinates of the set of points on a graph. Also, the y-coordinates of a given set of ordered pairs. The range is the output in a function or a relation.

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Relation

A mapping or pairing of input values with output values.

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Independent Variable

(X axis) The variable (input) that determines the dependent variable (output).

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Dependent Variable

(Y Axis) The variable (output) that is determined by the independent variable (input).

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Vertical Line Test

If you place a vertical line on a graph, you can tell whether it is a function. If the line intersects the graph at only one point, then the relationship is a function.

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Discrete Domain

A set of input values that consists of only certain numbers in an interval. On a graph, do not draw a line connecting points.

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Continuous Domain

A set of input values that consists of all numbers in an interval. On a graph, you could draw a line connecting points.

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