The diagram shows the curve $y=\mathrm{f}\left( x \right)$. The curve has an asymptote $y=0$ and

Question

The diagram shows the curve $y=\mathrm{f}\left( x \right)$. The curve has an asymptote $y=0$ and a maximum point at $\left( 2,3 \right)$. It is given that $\mathrm{f}$ is concave downwards for $1\le x\le 3$. Sketch the graph of $y=\mathrm{f}'\left( x \right)$, stating the equations of any asymptotes, the $x$-coordinates of any stationary points and any points of intersection with the $x$-axis.[3]

Accepted Answer

The graph of $y=\mathrm{f}'(x)$ has horizontal asymptote $y=0$, a maximum stationary point at $x=1$, a minimum stationary point at $x=3$, and an $x$-intercept at $(2,0)$

2021 CJC Promo Q1

2021 CJC Promo Q1

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