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Consider each function fi : Z + R +: f1(n) = 3(n + 1)^2 , f2(n) = 2^(100) , f3(n) = 2^(lg n) , f4(n)

Consider each function fi : Z + R +: f1(n) = 3(n + 1)^2 , f2(n) = 2^(100) , f3(n) = 2^(lg n) , f4(n) = 3n^2 + 4n and f5(n) = ( 7n2 + 4n 1). Enclose functions with the same asymptotic growth rate in a pair of braces, separated by commas. List the classes in order of increasing asymptotic time complexity.

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