9 The curve \(C\) has equation
$$y = \frac { 2 x ^ { 2 } + 2 x + 3 } { x ^ { 2 } + 2 }$$
Show that, for all \(x , 1 \leqslant y \leqslant \frac { 5 } { 2 }\).
Find the coordinates of the turning points on \(C\).
Find the equation of the asymptote of \(C\).
Sketch the graph of \(C\), stating the coordinates of any intersections with the \(y\)-axis and the asymptote.