1. For each function on the left representing a running time, give a function g(n) which is as simple as possible (one of our "nice" functions) with f(n) = (g(n)). f(n) (a) f(n) = 2n3 + 25 lg n + 10000 (b) f(n) 200n lgn + 5n² + 19 (c) f(n) =3n8+1.5.2"+9n4 (b) f(n)=3+ 3n¹gn + 7n² (c) f(n)=5.4 +2n lgn+n! g(n) [10 pts]

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1. For each function on the left representing a running time, give a function g(n) which is as
simple as possible (one of our "nice" functions) with f(n) = (g(n)).
f(n)
(a) f(n) = 2n3 + 25 lg n + 10000
(b) f(n) 200n lgn + 5n² + 19
(c) f(n) =3n8+1.5.2"+9n4
(b) f(n)=3+ 3n¹gn + 7n²
(c) f(n)=5.4 +2n lgn+n!
g(n)
[10 pts]
Transcribed Image Text:1. For each function on the left representing a running time, give a function g(n) which is as simple as possible (one of our "nice" functions) with f(n) = (g(n)). f(n) (a) f(n) = 2n3 + 25 lg n + 10000 (b) f(n) 200n lgn + 5n² + 19 (c) f(n) =3n8+1.5.2"+9n4 (b) f(n)=3+ 3n¹gn + 7n² (c) f(n)=5.4 +2n lgn+n! g(n) [10 pts]
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