A2 June 2025 Paper 2 Q4

4 The function \(\mathrm{f}\) is defined by \(\mathrm{f}(x) = 16 - x^2 \quad (x \in \mathbb{R})\)

On which of the following intervals is the mean value of \(\mathrm{f}\) the greatest?

Tick (✓) one box. [1 mark]

• \(0 \leqslant x \leqslant 1\)
• \(0 \leqslant x \leqslant 2\)
• \(0 \leqslant x \leqslant 3\)
• \(0 \leqslant x \leqslant 4\)