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

Question

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

Accepted Answer

For $y=\dfrac1{f(x)}$: vertical asymptotes $x=0,3$, horizontal asymptote $y=1$, open limiting point $(2,0)$, minimum $\left(4,\dfrac13\right)$. For $y=f'(x)$: vertical asymptote $x=2$, horizontal asymptote $y=0$, zero $(4,0)$, negative for $x4$, positive for $2<x<4$.

Prelims Revision Set: Reciprocal and Gradient Graphs Q5

Prelims Revision Set: Reciprocal and Gradient Graphs Q5

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