\"\"

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The relation is

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
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x

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                 \"\" \

y

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(x, y)

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        \"\"1 \

\"\"

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   \"\"12       (\"\"1, 3)
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0

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\"\"

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   \"\"4

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(0, \"\"4)

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1

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\"\"

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\"\"12   

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(1, \"\"12)

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2

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\"\"

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\"\"20  

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(2, \"\"20)

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Express the relation as ordered pairs\"\".\"\"

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Create a coordinate system and plot the ordered pairs.

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Draw a line through the points.

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\"graph

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Since x can be any real number, there are an infinite number of ordered pairs that can be graphed. All of them lie on the line shown.\"\"

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Every real number is the x-coordinate of some point on the line.

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So, the domain (x-coordinates on the line) is set of all real numbers.

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Every real number is the y-coordinate of some point on the line.

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So, the range (y-coordinates on the line) is also set of all real numbers.

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The relation is Continuous.

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\"\"

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Draw the vertical lines through the points. Observe that there is no vertical line contains more than one of the points. This graph passes the vertical line test.

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For each x-value, there is exactly one y-value, so the equation \"\" represents a function.

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\"graph

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\"\"

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The domain (x-coordinates on the line) is set of all real numbers.

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The range (y-coordinates on the line) is also set of all real numbers.

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The relation is Continuous.The equation \"\" represents a function.