CAIE FP1 2017 June — Question 9

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2017
SessionJune
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicPolynomial Division & Manipulation

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 \(C\).

9 The curve $C$ has equation $y = \frac { x ^ { 2 } - 3 x + 6 } { 1 - x }$.\\
(i) Find the equations of the asymptotes of $C$.\\

(ii) Find the coordinates of the turning points of $C$.\\

(iii) Find the coordinates of any intersections with the coordinate axes.\\

(iv) Sketch $C$.

\hfill \mbox{\textit{CAIE FP1 2017 Q9}}