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4. Order the following functions from smallest asymptotic running time to greatest. Additionally, identify all pairs of functions i and j where fi(n) = 0(f;(n)).

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4. Order the following functions from smallest asymptotic running time to greatest. Additionally, identify all pairs of functions i and j where fi(n) = 0(f;(n)). Justify your answers. (a) fa(n) = 22n (b) fo(n) = V n6 . log-an (c) fe(n) = 5 (d) fa(n) = n* (e) fe(n) = (n + 1000n2) log n (f) ff(n) = log170 n (8) fg(n) = n 2020 (h) fn(n) = ve (i) f (n) = 2 (6)

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