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Select the correct answer.Which relation is a function? A. x y4 -25 -36 -27 -3 B. x y3 102 203 304 40 C. x y-5 2-5 3-10 4-10 5 D. x y10 1520 258 3020 35

Question

Select the correct answer.

Which relation is a function? A.

 x	y
4	-25
-36	-27
-3

B.

 x	y
3	102
203	304
40

C.

 x	y
-5	2
-5	3
-10	4
-10	5

D.

 x	y
10	15
20	25
30	20
35
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Solution

A function is a relation in which each input (x-value) has exactly one output (y-value). This means that no two pairs have the same x-value.

Let's examine each option:

A. x y 4 -2 5 -3 6 -2 7 -3

Here, the x-values 4 and 5 are repeated, so this is not a function.

B. x y 3 10 2 20 3 30 4 40

Here, the x-value 3 is repeated, so this is not a function.

C. x y -5 2 -5 3 -10 4 -10 5

Here, the x-values -5 and -10 are repeated, so this is not a function.

D. x y 10 15 20 25 8 30 20 35

Here, the x-value 20 is repeated, so this is not a function.

Therefore, none of the given relations is a function.

This problem has been solved

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