AQA FP1 2008 January — Question 9

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2008
SessionJanuary
TopicPolynomial Division & Manipulation

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 \(C\).