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<p>The diagram above shows part of the graph of $y=2-\left| 1-2x \right|.$</p>
<ol class="i-list"><li><div class="list-item-paragraph">Write down the coordinates of $A$ and $B.$</div></li></ol>
<p>In each of the following cases, determine the number of intersections of the line $y=mx+c$ with $y=2-\left| 1-2x \right|$, justifying your answer.</p>
<ol class="i-list" start="2"><li><div class="list-item-paragraph">$m=2$ and $c<1$</div></li><li><div class="list-item-paragraph">$m=-\frac{1}{2}$ and $c<2$</div></li></ol>

The diagram above shows part of the graph of $y=2-\left| 1-2x \right|.$

Write down the coordinates of $A$ and $B.$

In each of the following cases, determine the number of intersections of the line $y=mx+c$ with $y=2-\left| 1-2x \right|$, justifying your answer.

Modulus Function - Graphs of Modulus Function

Question 40739744