CAIE FP1 2017 November — Question 9

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2017
SessionNovember
TopicIntegration with Partial Fractions

9 The curve \(C\) has equation $$y = \frac { 3 x - 9 } { ( x - 2 ) ( x + 1 ) }$$
  1. Find the equations of the asymptotes of \(C\).
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  2. Show that there is no point on \(C\) for which \(\frac { 1 } { 3 } < y < 3\).
  3. Find the coordinates of the turning points of \(C\).
  4. Sketch \(C\).
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