Reciprocal and Gradient Graphs Q2

Reciprocal and Gradient Graphs Q2

\(y=\mathrm{f}\left( x \right)\)

\(y=\frac{1}{\mathrm{f}\left( x \right)}\)

\(y=\mathrm{f}'\left( x \right)\)

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Answer:\(y=1/f(x)\): vertical asymptotes \(x=0,2\), horizontal asymptote \(y=1/2\), maximum \((1,-1/6)\), open point \((3,0)\). \(y=f′(x)\): vertical asymptote \(x=3\), horizontal asymptote \(y=0\), \(x\)-intercept \((1,0)\).

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