Section%201.2 - Section 1.2 Functions and Graphs A function...

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Math 1513 Sec 1.2 1 Section 1.2 Functions and Graphs A function is a correspondence or relationship between two sets of variables. The first set of variables is the domain or independent variables. The second set is the range or dependent variables. The correspondence is such that each value of the independent variable corresponds to exactly one value of the dependent variable. Independent variables Dependent variables Domain Range x ’s y ’s This function could also be written as these ordered pairs. (1,4) (2,6) (5,10) (7,-3) Each value of the independent variable (domain) corresponds with exactly one value of the dependent variable (range). This is not a function: Why?
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Math 1513 Sec 1.2 2 Is this set of ordered pairs a function? (1,2) (3,4) (4, 3) (5, 2) (2, 6) What is the domain? _________ What is the range? ________ One x cannot be paired with more than one y . However, it is OK for one y to be paired with more than one x Consider pairing players on a basketball team with their heights. Player 1 6’ 2” Player 2 6’ 5” Player 3 6’ 8” Player 4 6’ 4” Player 5 In the examples below, a group of boys is paired with their girlfriends. (Not only is the second example not a function, but Robert is probably going to have a problem if Amy and Sara find out.)
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Math 1513 Sec 1.2 3 One of the most common ways to represent a function is by a formula or a rule.
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Section%201.2 - Section 1.2 Functions and Graphs A function...

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