Moderate -0.5 This is a multiple-choice question testing conceptual understanding of hyperbolic function graphs. While it requires knowledge of hyperbolic functions (a Further Maths topic), students only need to recall basic properties and sketch behaviors rather than perform calculations or solve equations. The question is more straightforward than average A-level questions since it's recognition-based with no algebraic manipulation required.
4 Which of the following graphs intersects the graph of \(y = \sinh x\) at exactly one point? Circle your answer.
\(y = \operatorname { cosech } x\)
\(y = \cosh x\)
\(y = \operatorname { coth } x\)
\(y = \operatorname { sech } x\)
4 Which of the following graphs intersects the graph of $y = \sinh x$ at exactly one point? Circle your answer.\\
$y = \operatorname { cosech } x$\\
$y = \cosh x$\\
$y = \operatorname { coth } x$\\
$y = \operatorname { sech } x$
\hfill \mbox{\textit{AQA Further Paper 2 2022 Q4 [1]}}