CAIE A-Level Further Math A2 2.1.2 Hyperbolic Functions Questions

Practise sketching hyperbolic graphs, identifying asymptotes and interpreting graph features with Further Mathematics Paper 2 questions.

Exam points

Sketch hyperbolic function graphs and state or use their defining graphical features, including asymptotes.

[Maximum number: 2]

Sketch the graph of $y=\operatorname{coth} x$ for x>0 and state the equations of the asymptotes.

Correct shape and position, not too truncated.

$x=0, \quad y=1$
States equations of asymptotes.

2

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