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Is the relation shown below a function? Explain

Is the relation shown below a function? Explain.
(4, 16), (5, 25), (3, 9), (6, 36), (2, 4), (1, 1)




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1 Answer

  1. Yes, the relation shown is a function. A relation is considered a function if each input (the first number in each ordered pair) is associated with exactly one output (the second number). In this case, the inputs are 4, 5, 3, 6, 2, and 1, and each of these inputs has a unique output (16, 25, 9, 36, 4, and 1, respectively). Since no input is repeated and each has a single corresponding output, it meets the definition of a function.

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