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is (1,3), (2,1) ,(3,1) , (4,7) an function?

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No, the set of points (1,3), (2,1), (3,1), (4,7) does not represent a function. In order for a set of points to represent a function, each x-value must correspond to only one y-value. In this case, the x-value 2 corresponds to both the y-values 1 and 7, violating the definition of a function.
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