📝 INCREASING/DECREASING FUNCTIONS ARE ONE-TO-ONE

📖 From Calculus • 4. Topics in Differentiation • 26 questions available

Practice MCQs for INCREASING/DECREASING FUNCTIONS ARE ONE-TO-ONE. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-14

Easy Questions

Medium Questions

Hard Questions

📝 Sample Questions

Q1. The function \(f(x) = \ln x\) is one-to-one because:

🔹 A. It has a maximum

🔹 B. It is strictly decreasing

🔹 C. It is constant

🔹 D. It is strictly increasing

💡 Difficulty: easy | ✅ Correct: D

Q2. If \(f'(x) > 0\) for all \(x\) in an open interval, then \(f\) has:

🔹 A. A vertical tangent line

🔹 B. At least one horizontal tangent line

🔹 C. No horizontal tangent lines

🔹 D. Exactly one horizontal tangent line

💡 Difficulty: medium | ✅ Correct: C

Q3. If \(f'(x) = 0\) at a single point but \(f'(x) > 0\) elsewhere, then:

🔹 A. \(f\) is strictly increasing

🔹 B. \(f\) is not one-to-one

🔹 C. \(f\) has a local maximum

🔹 D. \(f\) has a local minimum

💡 Difficulty: hard | ✅ Correct: A

⬆️ View all questions in the quiz below

🔗 Related Topics

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

🚀 Start Quiz 📝 Practice Mode