7 A curve has equation \(y = \frac { x ^ { 2 } - 25 } { ( x - 3 ) ( x + 4 ) ( 3 x + 2 ) }\).
- Write down the coordinates of the points where the curve crosses the axes.
- Write down the equations of the asymptotes.
- Determine how the curve approaches the horizontal asymptote for large positive values of \(x\), and for large negative values of \(x\).
- Sketch the curve.