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Show that the function f : R to R define...

Show that the function `f : R to R` defined by `f(x) = x^(2) AA x in R` is neither injective nor subjective.

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Knowledge Check

  • Function f: R rarr R , defined by f(x)=x^(2)+x is

    A
    one-one, onto
    B
    one-one, into
    C
    many one, onto
    D
    many one, into

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    A
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    B
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    C
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    D
    d.many one and into

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    Explore conceptually related problems

    Show that the function f : Z to Z defined by f(x) = x^(3), AA x in Z is injective but not surjective.

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