What is the horizontal asymptote of the rational function f(x) = (2x² + 3x - 1) / (5x² - x + 7)?

A y = 0

B y = 2/5

C y = 5/2

D There is no horizontal asymptote.

✓ Correct Answer: Option B

When the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is the ratio of their leading coefficients. Here, both degrees are 2, so y = 2/5.

💡 Why is B) the correct answer?

The correct answer to the question "What is the horizontal asymptote of the rational function f(x) = (2x² + 3x - 1) / (5x² - x + 7)?" is Option B: y = 2/5.

The other options — A) y = 0, C) y = 5/2, D) There is no horizontal asymptote. — are incorrect for this CLEP Exam Prep question. As explained above: When the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is the ratio of their leading coefficients. Here, both degrees are 2, so y = 2/5.

📚 About This CLEP Exam Prep Practice Question

This 2-level CLEP Exam Prep question from the College Algebra topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free CLEP Exam Prep practice test or use flashcards for spaced repetition review.

Practice CLEP Exam Prep Quizzes → Browse All Questions Study Flashcards

What is the horizontal asymptote of the rational function f(x) = (2x² + 3x - 1) / (5x² - x + 7)?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

Related CLEP Exam Prep Questions