8. The curve \(C\) has the equation
$$y = 3 - x ^ { \frac { 1 } { 2 } } - 2 x ^ { - \frac { 1 } { 2 } } , \quad x > 0 .$$
- Find the coordinates of the points where \(C\) crosses the \(x\)-axis.
- Find the exact coordinates of the stationary point of \(C\).
- Determine the nature of the stationary point.
- Sketch the curve \(C\).