7 A curve has equation \(y = \frac { 3 + x ^ { 2 } } { 4 - x ^ { 2 } }\).
- Show that \(y\) can never be zero.
- Write down the equations of the two vertical asymptotes and the one horizontal asymptote.
- Describe the behaviour of the curve for large positive and large negative values of \(x\), justifying your description.
- Sketch the curve.
- Solve the inequality \(\frac { 3 + x ^ { 2 } } { 4 - x ^ { 2 } } \leqslant - 2\).