CAIE FP1 2017 June — Question 9

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2017
SessionJune
TopicCurve Sketching
TypeSketch rational with quadratic numerator
9 The curve \(C\) has equation \(y = \frac { x ^ { 2 } - 3 x + 6 } { 1 - x }\).
  1. Find the equations of the asymptotes of \(C\).
  2. Find the coordinates of the turning points of \(C\).
  3. Find the coordinates of any intersections with the coordinate axes.
  4. Sketch \(C\).
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Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 EITHER Q12 OR