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

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

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

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

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

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

9 The domain is the _____variable.

10 The domain is the x variable.

11 The range is the _____ variable.

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12 The range is the y variable.

13 Functional Notation f ( x)

14 Vertical Line Test for FunctionsA graph is the graph of a function if and only if no vertical line intersects the graph at more than one point.

15 Increasing, Decreasing and Constant FunctionsIf a and b are elements of an interval I that is a subset of the domain of a function f, then

16 Increasing, Decreasing and Constant FunctionsIf 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)

17 Increasing, Decreasing and Constant FunctionsIf 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 is decreasing on I is f(a) > f(b) whenever a > b.

18 Increasing, Decreasing and Constant FunctionsIf 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 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.

19 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.

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