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Draw the graph of the function: f: R to ...

Draw the graph of the function: `f: R to R` defined by `f(x) = x^(3), x in R`.

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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

  • Let f: R to R be defined by f(x) = x^(4) , then

    A
    f is one-one but not onto
    B
    f is neither one-one nor onto
    C
    f is one-one and onto
    D
    f may be one-one and onto

  • The domain of the function f: Rto R defined by f(x) = sqrt(x^(2) - 7x + 12) is

    A
    `(-oo,3]uu[4,oo)`
    B
    `(-oo,3]nn[4,oo)`
    C
    `(-oo,3]uu(4,oo)`
    D
    (3,4)

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    Prove that the function f : R to R defined by f(x) = 3 - 4x , AA x in R is bijective.

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    Show that the function f: R to R given by f (x) = x ^(3) is injective.

    The function f : R rarr R defined by f(x) = 7^x + 7^|x| is

    Let f : R to R be defined by f(x)=x^(4) , then

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