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Find the best possible relationship using one of the notations: O, ohm, theta, o, omega, for the following pairs of functions: n^3 + 7n^1.5 - 3 and n^log8 - 10n^0.5 + 7: nlgn and n^1.1: 5^n and (5.1)^n: 4^n and n!. Justify each answer. Function f(n) = n^3 + 5000n - 60000 when n lessthanorequalto 50 and f(n) = nlog n+ 100n for n > 50. Write f(n) in asymptotic notation in the simplest possible form