A2 June 2024 Paper 2 Q3

3 The function \(\mathrm{g}\) is defined by

\[\mathrm{g}(x) = \operatorname{sech} x \qquad (x \in \mathbb{R})\]

Which one of the following is the range of \(\mathrm{g}\)?

Tick (✓) one box. [1 mark]

• \(-\infty \lt \mathrm{g}(x) \leqslant -1\)
• \(-1 \leqslant \mathrm{g}(x) \lt 0\)
• \(0 \lt \mathrm{g}(x) \leqslant 1\)
• \(1 \leqslant \mathrm{g}(x) \leqslant \infty\)