<p>The graphs of $y=\mathrm{f}'\left( x \right)$ and $y=\left| \mathrm{f}\left( x \right) \right|$ are shown below.</p>
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<ol class="i-list"><li><div class="list-item-paragraph">State the nature of all stationary points of the graph of $y=\mathrm{f}\left( x \right)$.<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">State the range of values of $x$ where</div><ol class="abc-list"><li><div class="list-item-paragraph">$\operatorname{f}$ is decreasing,<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">$\mathrm{f}$ is concave upwards.<span class="inline-marks">[1]</span></div></li></ol></li><li><div class="list-item-paragraph">Sketch the graph of $y=\mathrm{f}\left( x \right)$ indicating clearly the asymptotes, coordinates of the stationary points and the intersections with the axes.<span class="inline-marks">[3]</span></div></li></ol>

The graphs of $y=\mathrm{f}'\left( x \right)$ and $y=\left| \mathrm{f}\left( x \right) \right|$ are shown below.

State the nature of all stationary points of the graph of $y=\mathrm{f}\left( x \right)$.

Sketch the graph of $y=\mathrm{f}\left( x \right)$ indicating clearly the asymptotes, coordinates of the stationary points and the intersections with the axes.

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