8 A curve has equation \(y = \frac { 2 x ^ { 2 } } { ( x - 3 ) ( x + 2 ) }\).
- Write down the equations of the three asymptotes.
- 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.
- Solve the inequality \(\frac { 2 x ^ { 2 } } { ( x - 3 ) ( x + 2 ) } < 0\).