CAIE A-Level Further Mathematics 2.1.2 Hyperbolic Graphs

Practise sketching hyperbolic-function branches on a specified domain, showing their correct position, intersection and any vertical or horizontal asymptotes.

Exam points

draw each hyperbolic branch in the correct region and show the requested intersection clearly
label vertical and horizontal asymptotes with their equations rather than only dashed lines

[Maximum number: 2]

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

Figure for Answer to Question 2.1.2—Hyperbolic functions question 1 — CAIE A-Level Further Math A2

B1

Correct shape and position, not too truncated.

$x=0, \quad y=1$

B1

States equations of asymptotes.

2

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2.1.2—Hyperbolic functions question 1