Question: Suppose the exact time required for an algorithm A is given by the function TA(n) = 280n + (log 2 n)21n 2.5 +12n 3 +101+42n

Suppose the exact time required for an algorithm A is given by the function

TA(n) = 280n + (log2n)21n2.5+12n3 +101+42n

(a) (2 points) Which of the following statements are true?

1. Algorithm A is O(logn)

2. Algoirthm A is O(n)

3. Algoirthm A is O(n3)

4. Algoirthm A is O(2n)

(b) (1 point) Give the correct time complexity for A in big- notation.

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