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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 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

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Solution

A function is a relation in which each input has only one output. In other words, no two ordered pairs have the same first element.

Let's check each option:

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

Here, the input 4 and 6 both have the same output -2. So, this is not a function.

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

Here, the input 3 has two different outputs 10 and 30. So, this is not a function.

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

Here, the inputs -5 and -10 both have two different outputs. So, this is not a function.

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

Here, the input 20 has two different outputs 25 and 35. So, this is not a function.

Therefore, none of the given relations is a function.

This problem has been solved

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