Which of the following represents a function?
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A: represents a function

Explanation:

Every other option, A,  has two y for one x.

It can be a function if there is 1x for 1y.

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Choice A is not a function because x = 2 leads to more than one y value (y = 1 and y = 7  at the same time)

Choice B is not a function for similar reasoning. Here we have x = 1 lead to y = 2 and y = 5 simultaneously.

Choice D is also not a function because of the two points (5,2) and (5,4). This tells us we have x =  5 lead to y = 2 and y = 4 at the same time.

A function is only possible if you have any input lead to exactly one output. Choice C shows this. Note how it passes the vertical line test. It is impossible to draw a vertical line through more than two points on the function curve.

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