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<p>The diagram above shows the graph of $y=\mathrm{f}\left( x \right)$. It has a maximum point at $\left( 4,a \right)$, where $a>0$, and meets the axes at $\left( 1,0 \right)$ and $\left( 0,0.5 \right)$. The curve has asymptotes with equations $y=0$ and $x=-1$.</p>
<p>On separate diagrams, sketch the graphs of</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">$y=\frac{1}{\mathrm{f}\left( x \right)}$;</span></div><p style="text-align: right;">[3]</p></li><li><div class="list-item-content"><span class="list-item-text">$y=\mathrm{f}'\left( x \right)$,</span></div><p style="text-align: right;">[3]</p></li></ol>
<p>stating the equation(s) of any asymptotes and where possible, the coordinates of any turning point(s) and axial intercept(s).</p>

The diagram above shows the graph of $y=\mathrm{f}\left( x \right)$. It has a maximum point at $\left( 4,a \right)$, where $a>0$, and meets the axes at $\left( 1,0 \right)$ and $\left( 0,0.5 \right)$. The curve has asymptotes with equations $y=0$ and $x=-1$.

On separate diagrams, sketch the graphs of

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

stating the equation(s) of any asymptotes and where possible, the coordinates of any turning point(s) and axial intercept(s).

2021 ASRJC Promo Q5

2021 ASRJC Promo Q5

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