Mathematical Functions and Notations

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Domain

Back

The set of the first numbers of the ordered pairs in a relation; the set of x-values to be evaluated by a function.

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Codomain

Back

The set of all the y-values that could possibly result from the evaluation of the function.

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Range

Back

The set of second numbers of the ordered pairs in a relation; the set of y-values that actually result from the evaluation of the function.

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One-to-One Function

Back

A function for which each element of the range is paired with exactly one element of the domain; no repeated y-values.

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Onto Function

Back

A function for which the codomain is the same as the range.

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Continuous Function

Back

A function that can be graphed with a line or an unbroken curve.

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Discontinuous Function

Back

A function that is not continuous.

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Discrete Function

Back

A function in which the points on the graph are not connected.

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Algebraic Notation

Back

Mathematical notation that describes a set by using algebraic expressions.

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Set-Builder Notation

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Mathematical notation that describes a set by stating the properties that its members must satisfy.