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**A set of ordered pairs is called a __________.**

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**A set of ordered pairs is called a relation.**

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A ________ is a set of ordered pairs in which no two ordered pairs have the same first coordinate and different second coordinates.

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A function is a set of ordered pairs in which no two ordered pairs have the same first coordinate and different second coordinates.

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**The ________ of a function is the set of all the _____ coordinates of the ordered pairs.**

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**The domain of a function is the set of all the first (x) coordinates of the ordered pairs.**

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**The ________ of a function is the set of all the ______ coordinates.**

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**The range of a function is the set of all the second (y) coordinates.**

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**The domain is the _____variable.**

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**The domain is the x variable.**

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**The range is the _____ variable.**

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**The range is the y variable.**

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Functional Notation f ( x)

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**Vertical Line Test for Functions**

A graph is the graph of a function if and only if no vertical line intersects the graph at more than one point.

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**Increasing, Decreasing and Constant Functions**

If a and b are elements of an interval I that is a subset of the domain of a function f, then

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**Increasing, Decreasing and Constant Functions**

If a and b are elements of an interval I that is a subset of the domain of a function f, then f is increasing on I if f(a) < f(b) whenever a < b.

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**Increasing, Decreasing and Constant Functions**

If a and b are elements of an interval I that is a subset of the domain of a function f, then f is increasing on I if f(a) < f(b) whenever a < b. f is decreasing on I is f(a) > f(b) whenever a > b.

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**Increasing, Decreasing and Constant Functions**

If a and b are elements of an interval I that is a subset of the domain of a function f, then f is increasing on I if f(a) < f(b) whenever a < b. f is decreasing on I is f(a) > f(b) whenever a > b. f is constant on I if f(a) = f(b) for all a and b.

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Horizontal Line Test If every horizontal line intersects the graph of a function at most once, then the graph is the graph of a one to one function.

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Functions whose graphs can be drawn without lifting the pencil off the paper are called continuous functions.

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**Functions with holes, breaks, or gaps have discontinuities.**

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**Greatest Integer Function**

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