The curve \(C\) has equation \(y = \frac{4x+5}{4-4x^2}\).

1. Find the equations of the asymptotes of \(C\).
2. Find the coordinates of any stationary points on \(C\).
3. Sketch \(C\), stating the coordinates of the intersections with the axes.
4. Sketch the curve with equation \(y = \left| \frac{4x+5}{4-4x^2} \right|\) and find in exact form the set of values of \(x\) for which \(4|4x+5| > 5|4-4x^2|\).