7 It is given that \(\mathrm { f } ( x ) = \frac { x ^ { 2 } - 25 } { ( x - 1 ) ( x + 2 ) }\).
- Express \(\mathrm { f } ( x )\) in partial fractions.
- Write down the equations of the asymptotes of the curve \(y = \mathrm { f } ( x )\).
- Find the value of \(x\) where the graph of \(y = \mathrm { f } ( x )\) cuts the horizontal asymptote.
- Sketch the graph of \(y ^ { 2 } = \mathrm { f } ( x )\).