9231 P13 - Nov 2012 - Q9 - 12 marks
6518
The curve \(C\) has equation \(y=\frac{x^{2}-3 x+3}{x-2}\). Find the equations of the asymptotes of \(C\).
Show that there are no points on \(C\) for which \(-1\lt y\lt 3\).
Find the coordinates of the turning points of \(C\).
Sketch \(C\).
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