Sketch the function, showing asymptotes the position and nature of any stationary points. (a) \(...

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Sketch the function, showing asymptotes the position and nature of any stationary points.
(a) \( f(x)=\frac{x^{2}-1}{x^{2}+1} \)
(b) \( f(x)=\frac{x^{2}-6 x+5}{(x+1)^{2}} \)
(c) \( f(x)=\frac{4 x}{x^{2}+1} \)
(d) \( f(x)=\frac{4 x}{(x-1)^{2}} \)
(e) \( f(x)=-2 x+1-\frac{2}{x-2} \)
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