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Onto function (Surjective function) and Into functions

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Number of onto and into functions

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Knowledge Check

  • Which of the following function is surjective but not injective?

    A
    `f:RrarrR, f(x)=x^(4)+2x^(3)-x^(2)+1`
    B
    `f:RrarrR,f(x)=x^(3)+x+1`
    C
    `f:RrarrR,f(x)=sqrt(1+x^(2))`
    D
    `f:RrarrR, f(x)=x^(3)+2x^(2)-x+1`

  • Which of the following function is surjective but not injective?

    A
    `f : R to R , f(x) = x^4 + 2x^3 - x^2 + 1`
    B
    `f : R to R , f(x) = x^3 + x + 1`
    C
    `f : R to R^(+), f(x) = sqrt(1 + x^2)`
    D
    `f : R to R, f(x) = x^3 + 2x^2 - x + 1`

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