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30 June, 19:38

Write five ordered pairs in a table to represent a relation that is not a function.

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  1. 30 June, 20:10
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    Therefore, the relation of the given ordered pairs does NOT represent a function as that x-coordinate values are repeated.

    Step-by-step explanation:

    We know that a relation is basically a set of input and output values, which are expressed in ordered pairs.

    A relation may have any set of ordered pairs.

    We also know that a function is a set of ordered pairs in which each x-element has only one y-element associated with it.

    Consider the five ordered pairs

    x y

    -2 1

    3 - 4

    -2 - 7

    4 6

    5 7

    The relation is: { (-2, 1), (3, - 4), (-2, - 6), (4, 6), (5, 7) }

    From the table, it is clear that x-coordinate values are repeated.

    In other words, x = - 2 twice.

    Therefore, the relation of the given ordered pairs does NOT represent a function.
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