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Does This Table Represent a function? Why Or Why Not?

Does This Table Represent a function? Why Or Why Not?-example-1

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it is no because of A
User Alex Lacayo
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1 vote

Answer: The correct option is

(A) No, because one x-value correspond to two different y-values.

Step-by-step explanation: We are given to check whether the table represent a function or not.

From the table, we note that

the corresponding values of x and y in form of ordered pairs are

(x, y) = (2, 1), (2, 4), (3, 4), (4, 2) and (5, 5).

We know that a set of ordered pairs (x, y) represents a function of no value of x correspond to more than one one value of y.

But, in the given table, when the value of x is 2, then we are getting two different values of y, 1 and 4.

That is, one value of x correspond to two different values of y.

Thus, the given table DOES NOT represent a function, because one x-value correspond to two different y-values.

Option (A) is CORRECT.

User Josh Sandlin
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