<p>The diagram below shows the curve \(y=\mathrm{f}'(x)\).</p>
<div class="graph-block" data-graph-config="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" data-width="300" data-height="200" style="width:300px;height:200px;max-width:100%;display:block;margin:0 auto;"></div>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">State the \(x\)-coordinates of the stationary points for the curve \(y=\mathrm{f}(x)\). Hence determine the nature of these stationary points.</span></div></li><li><div class="list-item-content"><span class="list-item-text">State the maximal range of values of \(x\) such that the curve \(y=\mathrm{f}(x)\) is,</span></div><ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">concave downwards,</span></div></li><li><div class="list-item-content"><span class="list-item-text">strictly decreasing.</span></div></li></ol></li></ol>

The diagram below shows the curve \(y=\mathrm{f}'(x)\).

State the \(x\)-coordinates of the stationary points for the curve \(y=\mathrm{f}(x)\). Hence determine the nature of these stationary points.

State the maximal range of values of \(x\) such that the curve \(y=\mathrm{f}(x)\) is,

Transformations of Graphs

International Baccalaureate Higher Level Mathematics