<p>The graph of $y=\mathrm{f}\left( x \right)$ has a maximum turning point at $\left( 2,3 \right)$ and passes through the origin. The lines $x=-1$ and $y=2$ are asymptotes to the graph, as shown in the diagram below.</p>
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<ol class="abc-list"><li><div class="list-item-paragraph">State the range of values of $x$ for which the graph of $y=\frac{1}{\mathrm{f}\left( x \right)}$ is increasing.<span class="inline-marks">[1]</span></div></li><li><div class="list-item-paragraph">Sketch the graph of $y=\mathrm{f}'\left( x \right)$, showing clearly the axial intercepts and the asymptotes.<span class="inline-marks">[3]</span></div></li></ol>

The graph of $y=\mathrm{f}\left( x \right)$ has a maximum turning point at $\left( 2,3 \right)$ and passes through the origin. The lines $x=-1$ and $y=2$ are asymptotes to the graph, as shown in the diagram below.

State the range of values of $x$ for which the graph of $y=\frac{1}{\mathrm{f}\left( x \right)}$ is increasing.

Sketch the graph of $y=\mathrm{f}'\left( x \right)$, showing clearly the axial intercepts and the asymptotes.

2022 DHS Promo Q1

2022 DHS Promo Q1

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