7 A curve has equation \(\mathrm { y } = \frac { ( 3 \mathrm { x } + 2 ) ( \mathrm { x } - 3 ) } { ( \mathrm { x } - 2 ) ( \mathrm { x } + 1 ) }\).
- Write down the equations of the three asymptotes and the coordinates of the points where the curve crosses the axes.
- Sketch the curve, justifying how it approaches the horizontal asymptote.
- Find the set of values of \(x\) for which \(y \geqslant 3\).