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Which of the following relations are fun...

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range:
(i) {(2,1), (3,1),(4,2)}
(ii) {(2,2),(2,4),(3,3),(4,4)}
(iii) {(2,1),(5,1),(8,1),(11,2),(14,2),(17,2)}
(iv) {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)}
(v){(2,1),(4,2),(6,3),(8,4),(10,5)}
(vi) {(1,2),(2,3),(3,4),(3,5),(3,7),(4,8)}

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Knowledge Check

  • There are three relations R_(1) , R_(2) and R_(3) such that R_(1) = {(2,1),(3,1),(4,2)} , R_(2) = {(2,2),(2,4),(3,3),(4,4)} and R_(3) = {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} then

    A
    `R_(1) and R_(2)` are functions
    B
    `R_(2) and R_(3)` are functions
    C
    `R_(1) and R_(3)` are functions
    D
    Only `R_(1)` is a function

  • There are three relations R_1,R_2 and R_3 such that R_1 = {(2,1),(3,1),(4,2), R_2 = {(2,2),(2,4),(3,3),(4,4)} and R_3 = {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} Then,

    A
    `R_1` and `R_2` are functions
    B
    `R_2` and `R_3` are functions
    C
    `R_1` and `R_3` are functions
    D
    Only `R_1` is a function

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