9231 P12 - Nov 2022 - Q07 - 15 marks
4259
The curve C has equation \(y = \frac{x^2 - x}{x + 1}\).
- Find the equations of the asymptotes of C.
- Find the exact coordinates of the stationary points on C.
- Sketch C, stating the coordinates of any intersections with the axes.
- Sketch the curve with equation \(y = \left| \frac{x^2 - x}{x + 1} \right|\) and find in exact form the set of values of \(x\) for which \(\left| \frac{x^2 - x}{x + 1} \right| < 6\).
Solutions and mark schemes for 9231 are temporarily available to admins only.