CAIE FP1 2005 November — Question 3

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2005
SessionNovember
TopicPolynomial Division & Manipulation

3 The curve \(C\) has equation $$y = \frac { x ^ { 2 } } { x + \lambda }$$ where \(\lambda\) is a non-zero constant. Obtain the equations of the asymptotes of \(C\). In separate diagrams, sketch \(C\) for the cases where
  1. \(\lambda > 0\),
  2. \(\lambda < 0\).