When using order notation we look at a functions asymptotic behavior because thi

Question

When using order notation we look at a functions asymptotic behavior because this works best with objects It gives us the correct behavior of the function as n gets large. it's easier to calculate. we only execute functions with asymptotically large numbers. Match each type of order notation with what it describes Big o of n Big omega of n Big theta of n If O(f(x)) > O(g(x)) then f(x) > g(x) for all x f(x) > g(x) as x goes to infinity |f(x)| > |g(x)| for all x |f(x)| > |g(x)| as x goes to infinity

Explanation / Answer

1. Asymptotic analysis is a used to describe limiting behavior. In the case of analysis of computer algorithms, it is used when considering the performance of algorithms when applied to very big input dataset. So functions asymptotic behavior gives correct behavior of a function as n gets large.(b)

2. a. Big o of n: Worst case analysis is done to determine when the algorithm will perform worst for the given inputs. It is an upper bound and big O notation is used to denote it.

b. Big omega of n: Best case behavior

c. Big theta of n: Average case behavior

3. f(x) > g(x) as x goes to infinity

ex. f(x) <= ch(x) then we say f(x) is Oh(x) as x increases.

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