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Functions question

2022 · 28 Jun · Shift 1 · Q24
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  5. /2022 · 28 Jun · Shift 1 · Q24

Functions question

2022 · 28 Jun · Shift 1 · Q24

JEE MainMathematicsFunctionsMCQ+4 / −1
Let a function f : N →\to→ N be defined by f(n)=[2n,n=2,4,6,8,......n−1,n=3,7,11,15,......n+12,n=1,5,9,13,......f(n) = \left[ {\begin{matrix} {2n,} & {n = 2,4,6,8,......} \\ {n - 1,} & {n = 3,7,11,15,......} \\ {{{n + 1} \over 2},} & {n = 1,5,9,13,......} \\ \end{matrix} } \right.f(n)=​2n,n−1,2n+1​,​n=2,4,6,8,......n=3,7,11,15,......n=1,5,9,13,......​ then, f is
  1. A
    one-one but not onto
  2. B
    onto but not one-one
  3. C
    neither one-one nor onto
  4. D
    one-one and onto
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