Algorithm complexity: The complexity of a computer algorithm is the number of op

Question

Algorithm complexity: The complexity of a computer algorithm
is the number of operations or steps the algorithm needs to com-
plete its task assuming there are n pieces of input (for example,
the number of steps needed to put numbers in ascending order).
Four algorithms for doing the same task have complexities of A: n^3/2, B: nlog base2 of n, C: n(log base2 of n)^2, and D: sqrt(n)(log base2 of n)
Rank the
algorithms in order of increasing efficiency for large values of n.
Graph the complexities as they vary with n and comment on your
observations.

Explanation / Answer

The time complexity is defined by the big oh function so the time complexities are A: O(n^3/2), B: O(nlog base2 of n), C: O(n(log base2 of n)^2), and D: (sqrt(n)(log base2 of n)) from the graph of O(n) we get the efficiency of the algorithm

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