What is the range of the function f(x) = x² for all real numbers?

A All real numbers

B y ≥ 0 (all non-negative real numbers)

C y > 0

D y ≤ 0

✓ Correct Answer: Option B

Since x² is always non-negative, the range of f(x) = x² is [0, ∞) or y ≥ 0.

💡 Why is B) the correct answer?

The correct answer to the question "What is the range of the function f(x) = x² for all real numbers?" is Option B: y ≥ 0 (all non-negative real numbers).

The other options — A) All real numbers, C) y > 0, D) y ≤ 0 — are incorrect for this PSAT Exam Prep question. As explained above: Since x² is always non-negative, the range of f(x) = x² is [0, ∞) or y ≥ 0.

📚 About This PSAT Exam Prep Practice Question

This 2-level PSAT 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 PSAT Exam Prep practice test or use flashcards for spaced repetition review.

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What is the range of the function f(x) = x² for all real numbers?

✓ Correct Answer: Option B

📚 About This PSAT Exam Prep Practice Question

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