7 The curve $C$ has equation $y = f ( x )$, where $f ( x ) = \frac { x ^ { 2 } + 2 } { x ^ { 2 } - x - 2 }$.\\
(a) Find the equations of the asymptotes of $C$.\\

(b) Find the coordinates of any stationary points on $C$, giving your answers correct to 1 decimal place.\\

(c) Sketch $C$, stating the coordinates of any intersections with the axes.\\
(d) Sketch the curve with equation $\mathrm { y } = \frac { 1 } { \mathrm { f } ( \mathrm { x } ) }$.\\
(e) Find the set of values for which $\frac { 1 } { \mathrm { f } ( x ) } < \mathrm { f } ( x )$.\\

If you use the following page to complete the answer to any question, the question number must be clearly shown.\\

\hfill \mbox{\textit{CAIE Further Paper 1 2023 Q7}}