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26 November, 00:06

Decide whether the relation defines a function.

{ (-8, 2), (-8, 8), (1, 4), (6, - 4), (10, 2) }

A. Function

B. Not a function

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Answers (1)
  1. 26 November, 00:32
    0
    B

    Step-by-step explanation:

    When given an ordered pair in defining a function, we have to note that each x value pairs up with a unique y value. If there is more than 1 y-value for any x-value, this would NOT be a function.

    If there is ordered pair as shown below:

    (2, 7), (4, 5), (-2, 3), (2, 7)

    We can think that there are two 2's and this isn't a function, but wait!

    2 pairs with 7 and the next one, 2 also pairs with 7, so it is a function, eventhough it is written twice. They are the same.

    Now, looking at the ordered pair given in this problem:

    { (-8, 2), (-8, 8), (1, 4), (6, - 4), (10, 2) }

    -8 is paired with "2"

    as well

    -8 is paired with "8"

    So, there are "2" y-values for a single value of x, - 8

    So, it is not a function

    Correct answer is B
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