7 The curve \(C\) has equation \(y = f ( x )\), where \(f ( x ) = \frac { x ^ { 2 } + 2 } { x ^ { 2 } - x - 2 }\).
- Find the equations of the asymptotes of \(C\).
- Find the coordinates of any stationary points on \(C\), giving your answers correct to 1 decimal place.
- Sketch \(C\), stating the coordinates of any intersections with the axes.
- Sketch the curve with equation \(\mathrm { y } = \frac { 1 } { \mathrm { f } ( \mathrm { x } ) }\).
- Find the set of values for which \(\frac { 1 } { \mathrm { f } ( x ) } < \mathrm { f } ( x )\).
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