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Let A={1,2,3},B={5,6,7} and f:A to B be ...

Let `A={1,2,3},B={5,6,7}` and `f:A to B` be a function defined as `f={(1,6),(2,5),(3,7)}` Then f is :

A

one -one but not onto

B

onto but not one-one

C

both one - one onto

D

neither one - one nor onto

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Knowledge Check

  • Let A = {1,2,3}, B {5,7,6} and f : A to B be defined as f = {(1,7), (2,6),(3,5)}. Then f is :

    A
    one-one
    B
    onto
    C
    many-one
    D
    bijective

  • Let A={1,2,3,4,5}, B={1,2,3,4) and f:A rarr B is a function, the

    A
    number of onto functions, if n(f(A))=4 is 240
    B
    number of onto functions, if n(f(A))=3 is 600
    C
    number of onto functions, if n(f(A))=2 is 180
    D
    number of onto functions, if n(f(A))=1 is 4

  • Let f:R to R be a function defined b f(x)=cos(5x+2). Then,f is

    A
    injective
    B
    surjective
    C
    bijective
    D
    none of these

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    Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2,5), (3, 6)} be a function from A to B. Based on the given information, f is best defined as:

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