Practice Big O Examples (7.6.2) - Design and Analysis of Algorithms - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What does Big O notation help us to understand in algorithm performance?
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Think about limits and growth.
Question 2.
Identify the dominant term in the function 3n² + 2n + 4.
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Look for the term with the highest degree.
3Question 3.
What does Big O notation describe?
- The minimum growth rate of an algorithm
- The maximum growth rate of an algorithm
- The average growth rate of an algorithm
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Focus on maximum limits.
4Question 4.
True or False: A function with complexity O(n²) can also be considered O(n³).
- True
- False
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Think about relationships between functions.
Question 5.
Demonstrate using specific values that the function 2n² + 3n + 5 is O(n²).
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Pick values of n and compare.
Question 6.
Show that the function n³ - n does not fit into O(n²). Provide a formal proof.
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Use limits like limits approaching infinity.

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