(a) The curve \(C\) has equation \(y=\dfrac{x^2+x+1}{x+1}\). Find the equations of the asymptotes of \(C\).

(b) Find the coordinates of any stationary points on \(C\).

(c) Sketch \(C\).

(d) Sketch the curve with equation \(y=\dfrac{|x|^2+|x|+1}{|x|+1}\).

(e) Find, in exact form, the set of values of \(x\) for which \(\dfrac{|x|^2+|x|+1}{|x|+1}<3\).