The curve \(y=\mathrm{f}(x)\) crosses the \(x\)-axis at \(x=-1\), \(x=1\) and \(x=5\). It has a turning point at \((2,-4)\) and the lines \(x=0\) and \(y=2\) are asymptotes to the curve. The diagram below shows the curve \(y=\mathrm{f}(x)\).
\(y=\dfrac{1}{\mathrm{f}(x)}\),[3]
\(y=\mathrm{f}(|x|)\).[2]
Sketch, on separate diagrams, the graphs of\n\nLabel clearly the coordinates of any points where the graphs intersect the axes, the coordinates of any turning points and the equations of any asymptotes.
The equations of the curves \(C_1\) and \(C_2\) are given by:[3]