AQA FP1 — Question 9

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
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Mark schemeDownload PDF ↗
TopicCurve Sketching

9 A curve \(C\) has equation $$y = \frac { 2 } { x ( x - 4 ) }$$
  1. Write down the equations of the three asymptotes of \(C\).
  2. The curve \(C\) has one stationary point. By considering an appropriate quadratic equation, find the coordinates of this stationary point.
    (No credit will be given for solutions based on differentiation.)
  3. Sketch the curve \(C\).

9 A curve $C$ has equation

$$y = \frac { 2 } { x ( x - 4 ) }$$

(a) Write down the equations of the three asymptotes of $C$.\\
(b) The curve $C$ has one stationary point. By considering an appropriate quadratic equation, find the coordinates of this stationary point.\\
(No credit will be given for solutions based on differentiation.)\\
(c) Sketch the curve $C$.

\hfill \mbox{\textit{AQA FP1  Q9}}