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10 December, 03:16

Which of the following relations represents a function?

{ (4,2), (4,3), (4, 5), (4,7) }

{ (-2, 1), (0,5), (1, - 3), (-2, 0) }

{ (-1, 3) (-2, 3) (-1, 5) (-2,5) }

{ (-3, 1), (1, 4), (-2, 1), (0, 3) }

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  1. 10 December, 03:22
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    { (-3, 1), (1, 4), (-2, 1), (0, 3) }

    Step-by-step explanation:

    If a set of ordered pairs represents a function, then there must not be any first coordinate that repeats itself more than once in any of the ordered pairs.

    In other words, no x-coordinate should correspond to more than one y-coordinate.

    From the given options, the only set of ordered pairs that satisfies the conditions of a function is;

    { (-3, 1), (1, 4), (-2, 1), (0, 3) }

    The correct answer is the last option.
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