<p>Let&nbsp;\(g(x) = \frac{1}{2}x \sin{x}\), for&nbsp;\(0 \leq x \leq 4\).</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Sketch the graph on the following set of axes.<span class="inline-marks">[4]</span></div><div class="graph-block" data-graph-config="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" data-width="270" data-height="200" style="width:270px;height:200px;max-width:100%;display:block;margin:0 auto;"></div></li><li><div class="list-item-paragraph">Hence find the value of \(x\) for which \(g(x) = -1\).<span class="inline-marks">[2]</span></div></li></ol>

Let \(g(x) = \frac{1}{2}x \sin{x}\), for \(0 \leq x \leq 4\).

Sketch the graph on the following set of axes.

Hence find the value of \(x\) for which \(g(x) = -1\).

Graphical and Analytical Solutions

Graphing Techniques

International Baccalaureate Mathematics: Applications and Interpretation Standard Level

Graphing Techniques - Graphical and Analytical Solutions

Graphing Techniques - Graphical and Analytical Solutions