<p>Consider \(h(x)=(ax)^2\cos x,\ x\in\mathbb{R}\). It is given that&nbsp;\(a\) is a real constant.</p>
<ol class="abc-list"><li data-list-item-id="item-1783668286410-82w6cr0ks" data-list-item-path="item-1783668286410-82w6cr0ks"><div class="list-item-paragraph">Show that&nbsp;\(h(x)\) is an even function.</div></li><li data-list-item-id="item-1783668286410-8qbyb8vq5" data-list-item-path="item-1783668286410-8qbyb8vq5"><div class="list-item-paragraph">It is given that&nbsp;\(h(\pi)=4\). Find the possible value(s) of \(a\).</div></li></ol>

Consider \(h(x)=(ax)^2\cos x,\ x\in\mathbb{R}\). It is given that \(a\) is a real constant.

It is given that \(h(\pi)=4\). Find the possible value(s) of \(a\).

Odd and Even Functions

Functions

International Baccalaureate Higher Level Mathematics

Functions - Odd and Even Functions

Functions - Odd and Even Functions