Question: Question 3 (Order Of Growth) 120 Pointsl Put these functions in order. Put the following function……

Please do all parts of the question

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Question 3 (Order Of Growth) 120 Pointsl Put these functions in order. Put the following functions in a list by increasing order of growth. That means, in your final list, if f comes before g, then f O(g). Iff (g) meaning the have the same order of complexity, then either one can come first n log2 n 100n2 6n 2n3 n2 324 232n nlog2 n 50n0.5 log2 n no.51 3n Deliverables of Question 3 (1) In the report, write the functions in their increasing order of growth (2) State which functions fall into the same order (that is, have the same order)

Lets give index to each function

1)nlog(n)                    4)12n^(0.5)             7)1/n        10)n^(log(n))
2)100n^2+6n                  5)n^(0.51)              8)n^2-312    11)50n^(0.5)
3)2*n^3                      6)3^n                   9)2^32n      12)log(n)

(part 2)the groups having same theta complexity are as follows:

group (1/n) : 7
group (log(n)): 12
group (n^0.5): 4 , 11
group (n^(0.51)): 5
group (n) : 9
group (n*log(n)): 1
group (n^2) : 2 , 8
group (n^3) : 3
group (n^(logn)):10
group (3^n) : 6

(part 1)Increasing order is as follows:(function within [] can be interchanged)

7 , 12 , [4 , 11] , 5 , 9 , 1 , [2 , 8 ], 3 , 10 , 6

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