6 The curve \(C\) has equation \(y = \frac { 4 x ^ { 2 } + x + 1 } { 2 x ^ { 2 } - 7 x + 3 }\).
- Find the equations of the asymptotes of \(C\).
- Find the coordinates of any stationary points on \(C\).
\includegraphics[max width=\textwidth, alt={}, center]{99ac7fe2-184b-4a72-89f6-03fe4b2af138-13_2720_40_106_18} - Sketch \(C\), stating the coordinates of any intersections with the axes.
- Sketch the curve with equation \(y = \left| \frac { 4 x ^ { 2 } + x + 1 } { 2 x ^ { 2 } - 7 x + 3 } \right|\) and state the set of values of \(k\) for which \(\left| \frac { 4 x ^ { 2 } + x + 1 } { 2 x ^ { 2 } - 7 x + 3 } \right| = k\) has 4 distinct real solutions.