Reciprocal and Gradient Graphs Q3

Reciprocal and Gradient Graphs Q3

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

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

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

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Answer:\(y=1/f(x)\): vertical asymptote \(x=0\), horizontal asymptote \(y=0\), open point \((2,0)\), maximum \((4,1/8)\). \(y=f′(x)\): vertical asymptote \(x=2\), horizontal asymptote \(y=1\), \(x\)-intercepts \((0,0)\) and \((4,0)\).

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