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A growth function that is O(n) is ____________________   A. constant B. logarithmic C. linear D. quadratic E. exponential

Question

A growth function that is O(n) is ____________________

A. constant
B. logarithmic
C. linear
D. quadratic
E. exponential

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Solution

The correct answer is C. linear.

A growth function that is O(n) O(n) indicates that the function grows linearly with respect to n n . This means that as n n increases, the value of the function increases proportionally.

Here's a brief explanation of the other options:

  • A. constant: This would be O(1) O(1) , meaning it does not grow with n n .
  • B. logarithmic: This would be O(logn) O(\log n) , meaning it grows much slower than linear.
  • D. quadratic: This would be O(n2) O(n^2) , meaning it grows faster than linear.
  • E. exponential: This would be O(2n) O(2^n) or similar, which grows very rapidly as n n increases.

Thus, the growth function that is O(n) O(n) is best described as linear.

This problem has been solved

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