9231 P11 - Nov 2020 - Q6 - 12 marks
5806
6 The curve \(C\) has equation \(y=\frac{x^{2}+x-1}{x-1}\).
(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 \(y=\left|\frac{x^{2}+x-1}{x-1}\right|\).
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