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📝 Rational Functions With Oblique or Curvilinear Asymptotes

📖 From Calculus • 5. The derivative in graphing and applications • 24 questions available

Practice MCQs for Rational Functions With Oblique or Curvilinear Asymptotes. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-15

4
Easy Questions
10
Medium Questions
10
Hard Questions

📝 Sample Questions

Q1. Find the oblique asymptote of \(f(x)=\frac{2x^{2}+3x-5}{x-1}\).

🔹 A. \(y=2x+5\)
🔹 B. \(y=2x+3\)
🔹 C. \(y=2x-1\)
🔹 D. \(y=2x+1\)

💡 Difficulty: easy | ✅ Correct: A

Q2. A company models its profit by \(P(x)=\frac{4x^{2}-x+6}{x-2}\). As production \(x\) becomes very large, which linear function best approximates profit?

🔹 A. \(y=4x+7\)
🔹 B. \(y=4x-1\)
🔹 C. \(y=4x+2\)
🔹 D. \(y=4x-5\)

💡 Difficulty: medium | ✅ Correct: B

Q3. Determine the curvilinear asymptote of \(k(x)=\frac{x^{4}+2x^{2}+1}{x^{2}+1}\).

🔹 A. \(y=x^{2}+2\)
🔹 B. \(y=x^{2}+1\)
🔹 C. \(y=x^{2}+3\)
🔹 D. \(y=x^{2}\)

💡 Difficulty: hard | ✅ Correct: A

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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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