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  <question type="stack">
    <name>
      <text>2.7.1.8 Polynomial 1-1 or 1-many</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p class="HELM_exercise">Exercise </p>

<p>Consider the following graphs once again.</p>
<figure class="HELM_figure">
<img src="@@PLUGINFILE@@/2.7.1.1%20some%20polynomials.svg" alt="plots of Q1, P1, P2, Q2, P3 and Q3 (same functions given in question 1)" role="presentation" class="img-responsive atto_image_button_text-bottom" width="631" height="219">
</figure>
<p>State if the functions are one-to-one or many-to-one.</p>
<ol class="HELM_parts">
<li>\(P_1\) &nbsp;&nbsp;&nbsp;&nbsp; [[input:ans1]] [[validation:ans1]][[feedback:prt1]]</li>
<li>\(Q_1\) &nbsp;&nbsp;&nbsp;&nbsp; [[input:ans2]] [[validation:ans2]][[feedback:prt2]]</li>
<li>\(P_2\) &nbsp;&nbsp;&nbsp;&nbsp; [[input:ans3]] [[validation:ans3]][[feedback:prt3]]</li>
<li>\(Q_2\) &nbsp;&nbsp;&nbsp;&nbsp; [[input:ans4]] [[validation:ans4]][[feedback:prt4]]</li>
<li>\(P_3\) &nbsp;&nbsp;&nbsp;&nbsp; [[input:ans5]] [[validation:ans5]][[feedback:prt5]]</li>
<li>\(Q_3\) &nbsp;&nbsp;&nbsp;&nbsp; [[input:ans6]] [[validation:ans6]][[feedback:prt6]]</li>
</ol>]]></text>
<file name="2.7.1.1 some polynomials.svg" path="/" encoding="base64">[encoded data, 65120 characters]</file>
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    <generalfeedback format="html">
      <text><![CDATA[<p>A function is one-to-one if no two elements in the domain of the function correspond to the same element in the range of the function. Graphically, you can see that a function is one-to-one if, drawing whichever horizontal line, this horizontal line intersects the graph of the function under consideration only once.</p>
<p>In the case of straight lines, as \(P_1(x)\) and \(Q_1(x)\), we have always one-to-one functions because, whichever horizontal line we draw, none of them intersects the graph twice.</p>
<p>In the case of a parabola, as for \(P_2(x)\) and \(Q_2(x)\), we can draw an infinite number of lines that intersect our graph twice.</p>
<p>For \(P_3(x)\), any line we draw intersects the graph of the function only once.</p>
<p>In the case of the cubic function \(Q_3(3)\), we can draw lines intersecting the graph of the function at least twice, in fact, we can draw lines intersecting the graph also three times.<br></p>]]></text>
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      <text>2022071300</text>
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    <questionvariables>
      <text><![CDATA[ta1:[["One-to-one",true],["Many-to-one", false]];
ta2:[["One-to-one",true],["Many-to-one", false]];
ta3:[["One-to-one",false],["Many-to-one", true]];
ta4:[["One-to-one",false],["Many-to-one", true]];
ta5:[["One-to-one",true],["Many-to-one", false]];
ta6:[["One-to-one",false],["Many-to-one", true]];]]></text>
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      <text><![CDATA[<span style="font-size: 1.5em; color:green;"><i class="fa fa-check"></i></span> Correct answer, well done.]]></text>
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      <text><![CDATA[<span style="font-size: 1.5em; color:red;"><i class="fa fa-times"></i></span> Incorrect answer.]]></text>
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    <decimals>.</decimals>
    <scientificnotation>*10</scientificnotation>
    <multiplicationsign>dot</multiplicationsign>
    <sqrtsign>1</sqrtsign>
    <complexno>i</complexno>
    <inversetrig>cos-1</inversetrig>
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