Foreach of the following pairs of functions either f(n) =O(g(n)), f(n) = (g(n)),

Question

Foreach of the following pairs of functions either f(n) =O(g(n)), f(n) = (g(n)), or f(n) = (g(n)). Determine which relationships are true (andwhy?) for each pair.
a) f(n) = 10;g(n) = log10             b)f(n) =2n; g(n) = 10n2          c) f(n) =2n; g(n) = 3n Foreach of the following pairs of functions either f(n) =O(g(n)), f(n) = (g(n)), or f(n) = (g(n)). Determine which relationships are true (andwhy?) for each pair.
a) f(n) = 10;g(n) = log10             b)f(n) =2n; g(n) = 10n2          c) f(n) =2n; g(n) = 3n

Explanation / Answer

For each of the following pairs of functions either f(n) = O(g(n)), f(n) = (g(n)), or f(n) = (g(n)). Determine which relationships are true (and why?) for each pair. a) f(n) = 10; g(n) = log 10 f(n)=(g(n)) as n=10 so the f(n) will take constant time.. g(n) will also take constant time. and f(n)=(g(n)) shows that the relationship between (g(n)) and f(n) is not less to each other...
b) f(n) = 2n; g(n) = 10n2 f(n)=(g(n))
c) f(n) = 2n; g(n) = 3n f(n)=O(g(n))
the complexi For each of the following pairs of functions either f(n) = O(g(n)), f(n) = (g(n)), or f(n) = (g(n)). Determine which relationships are true (and why?) for each pair. a) f(n) = 10; g(n) = log 10 f(n)=(g(n)) as n=10 so the f(n) will take constant time.. g(n) will also take constant time. and f(n)=(g(n)) shows that the relationship between (g(n)) and f(n) is not less to each other...
b) f(n) = 2n; g(n) = 10n2 f(n)=(g(n))
c) f(n) = 2n; g(n) = 3n f(n)=O(g(n))
the complexi

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