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The following table represents a relation.x y−3 00 −25 −311 −2Does the table represent y as a function of x?Why or why not?

The following table represents a relation.x y−3 00 −25 −311 −2Does the table represent-example-1
User Dolla
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1 Answer

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Given the table:

x y

-3 0

0 -2

5 -3

11 -2

Let's determine if the table represents y as a function of x.

When we say y as a function of x, it means the y value depends on x values.

For a relation to be a function, there must be one value of y for every unique value of x. This means one value of x must not appear twice.

From the given table, no value of x is repeated. Hence, we can say there is one value of y for every value of x.

Therefore, the table represents a function because there are no x-values with more than one y-value.

ANSWER:

Yes, because there are no x-values with more than one y-value.

User Atn
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