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Which set of ordered pairs does not represent a function? A (4, 1), (6, 2), (7, 5), (9, 2) B (0, 5), (1, 7), (2, 9), (3, 11) C (−2, 5), (0, 2), (9, −6), (8, 7) D (5, 5), (6, 10), (10, 15), (5, 20)

Question

Which set of ordered pairs does not represent a function? A (4, 1), (6, 2), (7, 5), (9, 2) B (0, 5), (1, 7), (2, 9), (3, 11) C (−2, 5), (0, 2), (9, −6), (8, 7) D (5, 5), (6, 10), (10, 15), (5, 20)

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Solution

The set of ordered pairs that does not represent a function is D (5, 5), (6, 10), (10, 15), (5, 20). This is because in a function, each input (or 'x' value) must correspond to exactly one output (or 'y' value). In option D, the input 5 corresponds to two different outputs (5 and 20), so it does not represent a function.

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