Given the statement: Algorithm A requires time proportional to f(n)
Algorithm A is said to be ______.
A)in class f(n)
B)of degree f(n)
C)order f(n)
D)equivalent to f(n)

Question

Quizplus · Accepted Answer

The term "time proportional to f(n)" implies that the growth rate of the algorithm is directly proportional to the complexity of the input, represented by f(n). Therefore, Algorithm A is said to be of order f(n). Choice C) is the only option that correctly represents this concept. Choice A) is incorrect because "class" is not a relevant term in describing algorithmic complexity. Choice B) is incorrect because "degree" is more commonly used to describe the highest exponent in a polynomial function. Choice D) is incorrect because "equivalence" suggests that the algorithm has the same complexity as f(n), which may not necessarily be true.

Given the Statement: Algorithm a Requires Time Proportional to F(n)