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📝 Polynomial and Rational Continuity

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

Practice MCQs for Polynomial and Rational Continuity. 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. What is true about the continuity of polynomials?

🔹 A. Polynomials are continuous everywhere

🔹 B. Polynomials are continuous only on intervals

🔹 C. Polynomials are never continuous

🔹 D. Polynomials are continuous only at integers

💡 Difficulty: easy | ✅ Correct: A

Q2. In Example 3, \(y=\frac{x^2-9}{x^2-5x+6}\), where are the discontinuities?

🔹 A. \(x=2\) and \(x=3\)

🔹 B. \(x=-2\) and \(x=-3\)

🔹 C. \(x=3\) only

🔹 D. \(x=2\) only

💡 Difficulty: medium | ✅ Correct: A

Q3. What is true about the continuity of rational functions?

🔹 A. Continuous everywhere

🔹 B. Continuous at every point where the denominator is nonzero

🔹 C. Continuous at every point where the numerator is nonzero

🔹 D. Never continuous

💡 Difficulty: easy | ✅ 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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