6 The curve $C$ has equation

$$y = \frac { x ^ { 2 } + b } { x + b }$$

where $b$ is a positive constant.\\
(i) Find the equations of the asymptotes of $C$.\\

(ii) Show that $C$ does not intersect the $x$-axis.\\

(iii) Justifying your answer, find the number of stationary points on $C$.\\

(iv) 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.

\hfill \mbox{\textit{CAIE FP1 2018 Q6}}