Given the relation R = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation R a function?

Question

Given the relation R = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation R a function?

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Peyton 3 weeks 2021-10-04T02:06:34+00:00 1 Answer 0 views 0

Answers ( )

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    2021-10-04T02:07:51+00:00

    SOLUTION

    TO CHOOSE THE CORRECT OPTION

    Given the relation R = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation R a function

    (a) 8

    (b) 6

    (c) -3

    (d) 1

    CONCEPT TO BE IMPLEMENTED

    FUNCTION

    Let A and B are two non empty sets. A Mapping ( function ) f from A to B is a rule that assigns to each element x of A a definite element y in B

    EVALUATION

    Here the given relation

    R = {(6,4), (8,-1), (x,7), (-3,-6)}

    Take A = { 6 , 8 , x , – 3 }

    B = { – 6 , – 1 , 4 , 7 }

    In order to satisfy all requirement for R to be mapping is R will have to assign to each element x of A a definite element y in B

    Since R has mapped 6 , 8 , – 3 already

    So R can not map 6 , 8 , – 3 again

    So R can not be any of 6 , 8 , – 3

     \sf{ \therefore \:  \: x = 1}

    FINAL ANSWER

    The correct option is (d) 1

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