Prelims Revision Set: Reciprocal and Gradient Graphs Q4

Prelims Revision Set: Reciprocal and Gradient Graphs Q4

TGM Original Questions

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

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

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

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Answer:For \(y=\dfrac1{f(x)}\): maximum \((0,1)\), horizontal asymptote \(y=0\). For \(y=f'(x)\): zero \((0,0)\), horizontal asymptotes \(y=-1\) and \(y=1\), negative for \(x<0\) and positive for \(x>0\).

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