Which of the following time complexities indicates the slowest growing function?
Question
Which of the following time complexities indicates the slowest growing function?
Solution
The question seems to be incomplete as there are no options provided for the time complexities. Time complexity refers to the computational complexity that describes the amount of time an algorithm takes in terms of the amount of input to the program. It is usually expressed using Big O notation, such as O(1), O(n), O(n^2), O(log n), etc.
The slowest growing function is the one with the lowest order of growth. For example, among O(1), O(n), O(n^2), and O(log n), O(1) is the slowest growing function because it represents constant time complexity, meaning the time to complete the task remains the same regardless of the size of the input data set.
However, without specific options provided in your question, I can't give a definitive answer. Please provide the options for the time complexities.
Similar Questions
Which of the following time complexities indicates the slowest growing function?O(n!)O(2^n)O(n^3)O(n log n)
Which of the following functions grows the SLOWEST?A.𝑔(𝑡)=3𝑡2−𝑡g(t)=3t 2 −tB.𝑗(𝑡)=14ln(𝑡200)j(t)= 41 ln(t 200 )C.𝑎(𝑡)=𝑡52a(t)=t 25 D.𝑖(𝑡)=ln(𝑡100)i(t)=ln(t 100 )E.𝑏(𝑡)=𝑡4−3𝑡+9b(t)=t 4 −3t+9
Which of the following functions grows the fastest?A.𝑓(𝑡)=2𝑡−𝑡3f(t)=2 t −t 3 B.𝑑(𝑡)=(1.1)𝑡d(t)=(1.1) t C.𝑏(𝑡)=𝑡4−3𝑡+9b(t)=t 4 −3t+9D.ℎ(𝑡)=5𝑡+𝑡5h(t)=5 t +t 5 E.𝑐(𝑡)=𝑡2−5𝑡c(t)= t 2 −5t
Please rank the following functions by their rate of growth and prove your answer.
Which of the following functions grows the LEAST?A.𝑔(𝑡)=3𝑡2−𝑡g(t)=3t 2 −tB.𝑐(𝑡)=𝑡2−5𝑡c(t)= t 2 −5t C.𝑒(𝑡)=𝑒e(t)=eD.𝑎(𝑡)=𝑡52a(t)=t 25 E.𝑖(𝑡)=ln(𝑡100)i(t)=ln(t 100 )
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