For each of the following g(n), which are legitimate Big-O, Big-Theta, or Big-Omega for f(n) =...

Question

Question

For each of the following g(n), which are legitimate Big-O, Big-Theta, or Big-Omega for f(n) = n^2 + 2n. List all that apply.

a) n^2

b) n^3

c) n

d) 2^n

e) lg n

engineering Computer-Science

Answer 1

Answer #1

a) n^2
f(n) = Theta(n^2)

b) n^3
f(n) = Big-O(n^3)

c) n
f(n) = Big-Omega(n)

d) 2^n
f(n) = Big-O(2^n)

e) lg n
f(n) = Big-Omega(lg n)

Answer 2

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