CAIE Further Paper 1 2020 June — Question 3

Exam BoardCAIE
ModuleFurther Paper 1 (Further Paper 1)
Year2020
SessionJune
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TopicCurve Sketching
3 The curve \(C\) has equation \(\mathrm { y } = \frac { \mathrm { x } ^ { 2 } } { 2 \mathrm { x } + 1 }\).
  1. Find the equations of the asymptotes of \(C\).
  2. Find the coordinates of the stationary points on \(C\).
  3. Sketch \(C\).
3 The curve $C$ has equation $\mathrm { y } = \frac { \mathrm { x } ^ { 2 } } { 2 \mathrm { x } + 1 }$.\\
(a) Find the equations of the asymptotes of $C$.\\

(b) Find the coordinates of the stationary points on $C$.\\

(c) Sketch $C$.

\hfill \mbox{\textit{CAIE Further Paper 1 2020 Q3}}
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