Question

Let \( f(x) = x^2 \), \( x \in [-1, 1] \). Then which of the following are correct?

• A. \( f \) has a minimum at \( x = 0 \).
• B. \( f \) has the maximum at \( x = 1 \).
• C. \( f \) is continuous on \( [-1, 1] \).
• D. \( f \) is bounded on \( [-1, 1] \).

Hint:

Whenever the domain is a closed interval and the function is continuous, by the \textbf{Extreme Value Theorem}, the function must attain both maximum and minimum values, and must be bounded.