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πŸ“ Absolute Extrema

πŸ“– From Calculus β€’ 5. The derivative in graphing and applications β€’ 25 questions available

Practice MCQs for Absolute Extrema. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

πŸ”„ Last updated: 2026-07-15

7
Easy Questions
10
Medium Questions
8
Hard Questions

πŸ“ Sample Questions

Q1. Find the absolute maximum and minimum of \(f(x)=x^{2}-4x\) on the interval \([0,5]\).

πŸ”Ή A. Maximum at \(x=0\), value \(0\)
πŸ”Ή B. Maximum at \(x=5\), value \(5\)
πŸ”Ή C. Minimum at \(x=2\), value \(-4\)
πŸ”Ή D. Minimum at \(x=5\), value \(5\)

πŸ’‘ Difficulty: easy | βœ… Correct: C

Q2. A company’s weekly production cost (in thousands of dollars) is \(C(x)=0.02x^{2}-0.3x+20\), where \(x\) is the number of thousands of boxes produced. What production level minimizes cost?

πŸ”Ή A. \(x=7.5\) thousand boxes
πŸ”Ή B. \(x=15\) thousand boxes
πŸ”Ή C. \(x=5\) thousand boxes
πŸ”Ή D. \(x=0\) thousand boxes

πŸ’‘ Difficulty: medium | βœ… Correct: A

Q3. Consider \(h(x)=\frac{x}{x^{2}+1}\) on \(\mathbb{R}\). Which of the following gives the absolute maximum value?

πŸ”Ή A. \( \frac{1}{2}\)
πŸ”Ή B. \( \frac{1}{\sqrt{2}}\)
πŸ”Ή C. \( \frac{1}{\sqrt{3}}\)
πŸ”Ή D. \(1\)

πŸ’‘ Difficulty: hard | βœ… Correct: B

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πŸ”— Related Topics

πŸ“ Approximating RootsπŸ“ Areas and LimitsπŸ“ Continuity in ApplicationsπŸ“ Continuity of CompositionsπŸ“ Continuity of Inverse Functions
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