Transformations of Graphs - Reciprocal Graph, \(y=\frac{1}{f(x)}\)

Transformations of Graphs - Reciprocal Graph, \(y=\frac{1}{f(x)}\)

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

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

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

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Answer:\(\displaystyle y=\frac{1}{\mathrm{f}(x)}\): maximum at \((0,1)\), horizontal asymptote \(y=0\) \(y=\mathrm{f}'(x)\): passes through \((0,0)\), horizontal asymptotes \(y=-1\) and \(y=1\)

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