What is the range of f(x) = x² + 1?

A All real numbers

B y ≥ 0

C y ≥ 1

D y > 1

✓ Correct Answer: Option C

x² ≥ 0 for all real x, so x² + 1 ≥ 1. Minimum value is 1 (at x = 0).

💡 Why is C) the correct answer?

The correct answer to the question "What is the range of f(x) = x² + 1?" is Option C: y ≥ 1.

The other options — A) All real numbers, B) y ≥ 0, D) y > 1 — are incorrect for this ACT Exam Prep question. As explained above: x² ≥ 0 for all real x, so x² + 1 ≥ 1. Minimum value is 1 (at x = 0).

📚 About This ACT Exam Prep Practice Question

This 2-level ACT Exam Prep question from the Mathematics 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 ACT Exam Prep practice test or use flashcards for spaced repetition review.

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What is the range of f(x) = x² + 1?

✓ Correct Answer: Option C

📚 About This ACT Exam Prep Practice Question

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