Which ordered pair can be removed so that the resulting graph represents a function?

Question

Which ordered pair can be removed so that the resulting graph represents a function?

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Sarah 1 month 2021-08-21T22:20:02+00:00 2 Answers 0 views 0

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    0
    2021-08-21T22:21:03+00:00

    Step-by-step explanation:

    (1, 3) can be removed so that the resulting graph represents a function.

    Solution-

    A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y.

    Here,

    X = {-5, -4, -2, 1, 2, 5}

    Y = {-4, -3, -2, 1, 2, 3}

    Relation from X to Y : {(-5, -3), (-4, -4), (-2, 2), (1, -2), (1, 3), (2, 1), (5, -4)}

    This relation is not a function from X to Y because the element 1 in X is related to two different elements, -2 and 3

    So, we have to remove either (1, -2) or (1, 3) in order to make this a function.

    0
    2021-08-21T22:21:22+00:00

    Answer:

    (1, 3) can be removed so that the resulting graph represents a function. A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y.

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