| Exam Board | CAIE |
|---|---|
| Module | Further Paper 1 (Further Paper 1) |
| Year | 2020 |
| Session | November |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
6 The curve $C$ has equation $\mathrm { y } = \frac { \mathrm { x } ^ { 2 } + \mathrm { x } - 1 } { \mathrm { x } - 1 }$.\\
(a) Find the equations of the asymptotes of $C$.\\
(b) Show that there is no point on $C$ for which $1 < y < 5$.\\
(c) Find the coordinates of the intersections of $C$ with the axes, and sketch $C$.\\
(d) Sketch the curve with equation $\mathrm { y } = \left| \frac { \mathrm { x } ^ { 2 } + \mathrm { x } - 1 } { \mathrm { x } - 1 } \right|$.
\hfill \mbox{\textit{CAIE Further Paper 1 2020 Q6}}