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3 September, 17:11

Which set of ordered pairs represents y as a function of x?

Group of answer choices

A{ (0, 0), (1, 1), (2, 4), (3, 9), (3, 16) }

B{ (0, 0), (0, 1), (0, 2), (0, - 1), (0, - 2) }

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

D{ (0, 0), (-1, - 0.5), (-2, - 1), (-3, - 1.5), (-4, - 2) }

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Answers (1)
  1. 3 September, 20:33
    0
    D{ (0, 0), (-1, - 0.5), (-2, - 1), (-3, - 1.5), (-4, - 2) }

    Step-by-step explanation:

    A function is a relation in which we take every element of the first group and assign an unique element of the second group.

    So, the set of ordered pairs that represents y as a function of x is the set that take every value of x and assign an unique value of y.

    Then, the set A is not a function because we have the ordered pairs (3,9) and (3,16) in which we have two values of y for the value of x=3.

    At the same way, we can said that B and C aren't functions.

    Finally, D is the set of ordered pairs that represents y as a function of x because every x has an unique value of y.
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