Which of the following functions is an even function?

A f(x) = x³ + x

B f(x) = x² - 5

C f(x) = x² + x

D f(x) = |x - 1|

✓ Correct Answer: Option B

An even function satisfies f(-x) = f(x). For f(x) = x² - 5, f(-x) = (-x)² - 5 = x² - 5, which is equal to f(x).

💡 Why is B) the correct answer?

The correct answer to the question "Which of the following functions is an even function?" is Option B: f(x) = x² - 5.

The other options — A) f(x) = x³ + x, C) f(x) = x² + x, D) f(x) = |x - 1| — are incorrect for this CLEP Exam Prep question. As explained above: An even function satisfies f(-x) = f(x). For f(x) = x² - 5, f(-x) = (-x)² - 5 = x² - 5, which is equal to f(x).

📚 About This CLEP Exam Prep Practice Question

This 1-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.

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Which of the following functions is an even function?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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