CAIE FP1 2014 November — Question 4

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2014
SessionNovember
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicPolynomial Division & Manipulation

4 A curve \(C\) has equation \(y = \frac { 2 x ^ { 2 } + x - 1 } { x - 1 }\). Find the equations of the asymptotes of \(C\). Show that there is no point on \(C\) for which \(1 < y < 9\).

4 A curve $C$ has equation $y = \frac { 2 x ^ { 2 } + x - 1 } { x - 1 }$. Find the equations of the asymptotes of $C$.

Show that there is no point on $C$ for which $1 < y < 9$.

\hfill \mbox{\textit{CAIE FP1 2014 Q4}}