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Question

# Each open sentence defines a relation, and x and y are real numbers. Graph each relation and tell whether it is a function. {(x, y): y=-|x|}

Solution

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Step 1
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Relation:

$y=-|x|$

Substitute $x=-2$ to evaluate the corresponding value of $y$ for ordered pairs for graph:

$y=-|-2|=-(2)=-2$

Substitute $x=0$ to evaluate the corresponding value of $y$ for ordered pairs for graph:

$y=-|0|=-(0)=0$

Substitute $x=2$ to evaluate the corresponding value of $y$ for ordered pairs for graph:

$y=-|2|=-(2)=-2$

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