Explain why f(x) = ∛x has domain all real numbers while f(x) = √x does not. Which mathematical property accounts for this difference?

• A. Odd roots (such as cube roots) produce a real value for every real input, including negatives, whereas even roots require nonnegative radicands to yield real outputs.
• B. Cube roots are periodic functions, so their domain includes all real numbers, unlike square roots.
• C. Cube roots are polynomials and therefore accept all real inputs, while square roots are not polynomials and restrict inputs.
• D. Cube roots are defined only for integers, allowing negative values, whereas square roots are not.

Answer: (A)