8 The curve \(C\) has equation \(y = \frac { 2 x ^ { 2 } + k x } { x + 1 }\), where \(k\) is a constant. Find the set of values of \(k\) for which \(C\) has no stationary points.
For the case \(k = 4\), find the equations of the asymptotes of \(C\) and sketch \(C\), indicating the coordinates of the points where \(C\) intersects the coordinate axes.
8 The curve $C$ has equation $y = \frac { 2 x ^ { 2 } + k x } { x + 1 }$, where $k$ is a constant. Find the set of values of $k$ for which $C$ has no stationary points.
For the case $k = 4$, find the equations of the asymptotes of $C$ and sketch $C$, indicating the coordinates of the points where $C$ intersects the coordinate axes.
\hfill \mbox{\textit{CAIE FP1 2015 Q8}}