π 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.
π Last updated: 2026-07-15
Q1. Find the absolute maximum and minimum of \(f(x)=x^{2}-4x\) on the interval \([0,5]\).
π‘ Difficulty: easy | β Correct: C
Q2. A companyβs 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?
π‘ Difficulty: medium | β Correct: A
Q3. Consider \(h(x)=\frac{x}{x^{2}+1}\) on \(\mathbb{R}\). Which of the following gives the absolute maximum value?
π‘ Difficulty: hard | β Correct: B
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