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📝 Problems Involving Intervals That Are Not Both Finite And Closed

📖 From Calculus • 5. The derivative in graphing and applications • 28 questions available

Practice MCQs for Problems Involving Intervals That Are Not Both Finite And Closed. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-15

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📝 Sample Questions

Q1. A company wants to maximize profit given by \(P(x)= -2x^2+12x+5\) on the interval \((0,5]\). On which sub‑interval is \(P(x)\) increasing?

🔹 A. A company wants to maximize profit given by \(P(x)= -2x^2+12x+5\) on the interval \((0,5]\). On which sub‑interval is \(P(x)\) increasing?

🔹 B. \(0<x<3\)

🔹 C. \(3<x\le 5\)

🔹 D. \(0<x\le 3\)

💡 Difficulty: medium | ✅ Correct: A

Q2. For the function \(f(x)=\ln(x)\) defined on \((0,\infty)\), which statement about its monotonicity is correct?

🔹 A. For the function \(f(x)=\ln(x)\) defined on \((0,\infty)\), which statement about its monotonicity is correct?

🔹 B. \(f\) is decreasing on \((0,1]\)

🔹 C. \(f\) is increasing on \([1,\infty)\)

🔹 D. \(f\) is constant on \((0,\infty)\)

💡 Difficulty: medium | ✅ Correct: D

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🔗 Related Topics

📝 Approximating Roots 📝 Areas and Limits 📝 Continuity in Applications 📝 Continuity of Compositions 📝 Continuity of Inverse Functions

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