A1 Vocabulary Intro to Functions

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Continuous function

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A function whose graph is an unbroken line or curve with no gaps or breaks. Values continue unbroken over the specified domain.

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Discrete function

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A function whose graph consists of isolated points. Values are distinct and separate and not connected; values are not continuous. Defined by their domain. Looks like a scatter plot.

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Domain

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Set of INPUT values for the INDEPENDENT variable over which the function is defined. 'x' values.

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Function

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Relation in which each element of the domain (x) is paired with exactly ONE element of the range (y). No x value is repeated.

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Function notation

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Notation that describes a specific function such as f(x) = x. Basically, 'f(x)' replaces 'y' in the equation. Pronounced 'f of x.' 'f(x)' is the output, 'x' is the input.

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Inequality notation

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Notation in which the solution is represented by an inequality statement.

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Range

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Set of OUTPUT values for the DEPENDENT variable over which the function is defined. 'y' values.

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Relation

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A set of ordered pairs (x, y).

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Interval notation

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A way to describe the solution set of an inequality, using parenthesis, brackets, and commas.

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Scatter Plot

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A graph in the coordinate plane representing a set of bivariate data. (can represent a discrete function).