A curve has equation \(y=x^3+x^2-x\).
The curve has a stationary point at \(\left(\dfrac13,-\dfrac5{27}\right)\).
Find the coordinates of the other stationary point.[5]
By sketching the graph of \(y=x^3+x^2-x\), determine whether the stationary point \(\left(\dfrac13,-\dfrac5{27}\right)\) is a maximum or a minimum.
\(\left(\dfrac13,-\dfrac5{27}\right)\) is a .......... .[2]
The equation \(x^3+x^2-x=k\) has fewer than \(3\) solutions.
Find the range of possible values for \(k\).[2]