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**2-1 Relations and Functions**

Objective: To graph relations To identify functions

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**Relations A relation is a set of pairs of input and output values.**

You can write a relation as a set of ordered pairs.

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Graphing Relations To graph relations, plot the points.

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Try this Graph {(0,4), (-2,3), (-1,3) (-2,2) (1, -2)}

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Domain and Range The domain of a relation is the set of all inputs, or x coordinates, of the ordered pairs * The domain is all of the x’s

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Domain and Range The range of a relation is the set of all outputs, or y coordinates, of the ordered pairs * The range is all of the y’s

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**Find the domain and range**

The ordered pairs are (-3, 2) (0, 1) (2, 4) (4, -3) The domain is {-3, 0, 2, 4} The range is {2, 1, 4, -3}

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**When listing domain and range, if a number is repeated, write it only once**

Example { (1,4) (1, 5) (2, 5) (3, -2)} The domain is {1, 2, 3} The range is {4, 5, -2}

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Mapping Diagram Another way to show a relation is to use a mapping diagram It links elements of the domain with elements of the range

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**To create a mapping diagram:**

Write the elements of the domain in one region Write the elements of the range in another region Draw arrows to show how each element from the domain is paired with elements from the range

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Example Make a mapping diagram for the relation {(2,8), (-1,5), (0,8) (-1,3) (-2,3)} Domain Range 2 -1 -2 8 5 3

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