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If A={-2,-1,0,1,2} and f:A to B is a sur...

If `A={-2,-1,0,1,2} and f:A to B` is a surjection defined by `f(x)=x^(2)+x+1` then find B.

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Knowledge Check

  • If A = (3, 81) and f: A rarr B is a surjection defined by f(x)=log_(3)x then B=

    A
    `[1, 4]`
    B
    `(1, 4]`
    C
    `(1, 4)`
    D
    `[1, oo)`

  • If f: R to R is defined by: f(x-1) =x^(2) + 3x+2 , then f(x-2) =

    A
    `x^(2)+x`
    B
    `x^(2)-3x+2`
    C
    `x^(2)+2x`
    D
    `x^(2)-x`

  • If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is

    A
    one-one and not onto
    B
    one-one and onto
    C
    not one-one but onto
    D
    neither one-one nor onto

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