Which one of the following statements is TRUE for all positive functions…

PYQ GATE 2022

Which one of the following statements is TRUE for all positive functions f(n)f(n) ?

  1. A.

    f(n2)=θ(f(n)2)f(n^2) = \theta (f(n)^2), when f(n)f(n) is a polynomial

  2. B.

    f(n2)=O(f(n)2)f(n^2) = \mathcal{O} (f(n)^2)

  3. C.

    f(n2)=O(f(n)2)f(n^2) = \mathcal{O} (f(n)^2),when f(n)f(n) is an exponential function

  4. D.

    f(n2)=Ω(f(n)2)f(n^2) = \Omega (f(n)^2)

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