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📝 Continuity on an Interval

📖 From Calculus • 2. Limits and Continuity an Introduction • 25 questions available

Practice MCQs for Continuity on an Interval. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-12

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📝 Sample Questions

Q1. If a function \(f\) is continuous at each point in an open interval \((a,b)\), we say \(f\) is:

🔹 A. Continuous on \((a,b)\)

🔹 B. Continuous on \([a,b]\)

🔹 C. Discontinuous on \((a,b)\)

🔹 D. Continuous everywhere

💡 Difficulty: easy | ✅ Correct: A

Q2. In Example 2, \(f(x)=\sqrt{9-x^2}\) is continuous on:

🔹 A. \((-3,3)\) only

🔹 B. \([-3,3]\)

🔹 C. \([-3,3]\) except at endpoints

🔹 D. Nowhere

💡 Difficulty: medium | ✅ Correct: B

Q3. What is the natural domain of \(f(x)=\sqrt{x^2-1}\)?

🔹 A. \([-1,1]\)

🔹 B. \((-\infty,-1]\cup[1,\infty)\)

🔹 C. \((-1,1)\)

🔹 D. \([0,\infty)\)

💡 Difficulty: hard | ✅ Correct: B

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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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