<p>It is given that</p>
<p style="text-align: center">$\mathrm{f}(x)=\left\{\begin{matrix} 7-{{x}^{2}}\,\,\,\,\,\,\,\,\,\,\mathrm{for}\,\,\,0&lt;x\le 2,\\\ 2x - 1\,\,\,\,\,\,\,\,\,\,\,\mathrm{for}\,\,\,2&lt;x\le 4, \\\end{matrix}\right.$</p>
<p>and that $\mathrm{f}(x)=\mathrm{f}(x+4)$ for all real values of $x$.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Evaluate $\mathrm{f}(27)+\mathrm{f}(45)$.</span></div><p style="text-align: right;">[2]</p></li><li><div class="list-item-content"><span class="list-item-text">Sketch the graph of $y=\mathrm{f}(x)$ for $-7\le x\le 10$.</span></div><p style="text-align: right;">[3]</p></li></ol>

$\mathrm{f}(x)=\left\{\begin{matrix} 7-{{x}^{2}}\,\,\,\,\,\,\,\,\,\,\mathrm{for}\,\,\,0&lt;x\le 2,\\\ 2x - 1\,\,\,\,\,\,\,\,\,\,\,\mathrm{for}\,\,\,2&lt;x\le 4, \\\end{matrix}\right.$

and that $\mathrm{f}(x)=\mathrm{f}(x+4)$ for all real values of $x$.

Evaluate $\mathrm{f}(27)+\mathrm{f}(45)$.

Sketch the graph of $y=\mathrm{f}(x)$ for $-7\le x\le 10$.

Modulus Functions

Functions

H2 Math

International Baccalaureate Higher Level Mathematics

N2009 P1 Q4

N2009 P1 Q4

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