8 A curve has equation \(y = \frac { x ^ { 2 } - 4 } { ( x - 3 ) ( x + 1 ) ( x - 1 ) }\).
- Write down the coordinates of the points where the curve crosses the axes.
- Write down the equations of the three vertical asymptotes and the one horizontal asymptote.
- Determine whether the curve approaches the horizontal asymptote from above or below for
(A) large positive values of \(x\),
(B) large negative values of \(x\). - Sketch the curve.