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Let A={9,10,11,12,13} and let f: A to N ...

Let A={9,10,11,12,13} and let `f: A to N` be defined by f(n)= the highest prime factor of n. Find the range of f.

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Knowledge Check

  • The function f: N to N defined by f(n) =2n+3 is

    A
    surjective
    B
    injective
    C
    bijective
    D
    neither one-one nor onto

  • Let the function f: R to R be defined by f(x) = 2x + sinx for x in R , then f is

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

  • Let f : N rarr N be defined by f(x)=x^(2)+x+1, x in N . Then f is

    A
    one-one onto
    B
    many-one onto
    C
    one-one but not onto
    D
    into

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    f: N to R be any function then show that f is continuous on N .

    If N denotes the set of all positive integers and if f : N to N is defined by f(n) = the sum of positive divisors of n then, f(2^(k)3) , where k is a positive integer, is

    If f : N to R is defined by f(1) = -1 and f(n+1)=3f(n)+2 for n gt 1 , then f is

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