6 The curve \(C\) has equation
$$y = \frac { x ^ { 2 } + b } { x + b }$$
where \(b\) is a positive constant.
- Find the equations of the asymptotes of \(C\).
- Show that \(C\) does not intersect the \(x\)-axis.
- Justifying your answer, find the number of stationary points on \(C\).
- Sketch C. Your sketch should indicate the coordinates of any points of intersection with the \(y\)-axis. You do not need to find the coordinates of any stationary points.