More Examples • For each of the following pairs of functions, either f(n) is O(g(n)), f(n) is (g(n)), or f(n) = O(g(n)). Determine which relationship is correct. %3D -f(n) = log n2; g(n) = log n + 5 f(n) = n; g(n) = log n? - f(n) = log log n: g(n) = log n - f(n) = n; g(n) = log? n f(n) = n log n + n; g(n) = log n - f(n) = 10; g(n) = log 10 f(n) = 2n: g(n) = 10n2 - f(n) = 2n: g(n) = 3n f(n) = © (g(n)) f(n) = 2(g(n)) f(n) = O(g(n)) f(n) = 2(g(n)) f(n) = 2(g(n)) f(n) = ©(g(n)) f(n) = 2(g(n)) f(n) = O(g(n)) %3D %3D %3D %3D %3D %3D %3D %3D %3D 32

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