$y=\mathrm{f}\left( x \right)$ $y=\frac{1}{\mathrm{f}\left( x \right)}$ \(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 asymptote $x=0$, horizontal asymptote $y=0$, open limiting point $(2,0)$, maximum $\left(3,\dfrac14\right)$. For $y=f'(x)$: vertical asymptote $x=2$, horizontal asymptote $y=2$, zero $(3,0)$, positive for $x3$, negative for $2<x<3$.

Prelims Revision Set: Reciprocal and Gradient Graphs Q8

Prelims Revision Set: Reciprocal and Gradient Graphs Q8

Video Solution:

Solution:

Solution locked