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<p><i><font face="times new roman,times,serif" size="4">Dadas las siguientes tablas de valores, identifique cu<font size="4">á</font>l de ellas <u><b>NO</b></u> es función.</font></i></p><br /> <p> <table width="709" style="width: 709px; height: 407px; text-align: center; vertical-align: middle; background-image: none;" border="1" rules="none" frame="void" cellspacing="1" cellpadding="1"><tbody> <tr> <td width="50%" valign="top"> <br /> <table width="76" align="middle" style="border: 1px solid rgb(0, 0, 0); width: 76px; height: 150px; text-align: center; vertical-align: middle; background-image: none;" border="1" rules="all" frame="box" cellspacing="1" cellpadding="1"><tbody> <tr style="text-align: center; vertical-align: middle; background-image: none;"> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;" rowspan="1" colspan="2"> <i><font face="times new roman,times,serif">Tabla</font></i> #r1 </td> </tr> <tr style="text-align: center; vertical-align: middle; background-image: none;"> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;"><i><font face="times new roman,times,serif">x</font></i> </td> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;"><i><font face="times new roman,times,serif">f(x)</font></i> </td> </tr> <tr> <td width="50%" valign="top">#x11 </td> <td width="50%" valign="top">#f11 </td> </tr> <tr> <td width="50%" valign="top">#x21 </td> <td width="50%" valign="top">#f21 </td> </tr> <tr> <td width="50%" valign="top">#x31 </td> <td width="50%" valign="top">#f31 </td> </tr> <tr> <td width="50%" valign="top">#x41 </td> <td width="50%" valign="top">#f41 </td> </tr> <tr> <td width="50%" valign="top">#x51 </td> <td width="50%" valign="top">#f51 </td> </tr></tbody> </table> </td> <td width="50%" valign="top"><br /> <table width="76" align="middle" style="border: 1px solid rgb(0, 0, 0); width: 76px; height: 150px; text-align: center; vertical-align: middle; background-image: none;" border="1" rules="all" frame="box" cellspacing="1" cellpadding="1"><tbody> <tr style="text-align: center; vertical-align: middle; background-image: none;"> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;" rowspan="1" colspan="2"><i><font face="times new roman,times,serif">Tabla </font></i>#r2 </td> </tr> <tr style="text-align: center; vertical-align: middle; background-image: none;"> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;"><font face="times new roman,times,serif"><i>x</i></font> </td> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;"><font face="times new roman,times,serif"><i>f(x)</i></font> </td> </tr> <tr> <td width="50%" valign="top">#x12 </td> <td width="50%" valign="top">#f12 </td> </tr> <tr> <td width="50%" valign="top">#x22 </td> <td width="50%" valign="top">#f22 </td> </tr> <tr> <td width="50%" valign="top">#x32 </td> <td width="50%" valign="top">#f32 </td> </tr> <tr> <td width="50%" valign="top">#x42 </td> <td width="50%" valign="top">#f42 </td> </tr> <tr> <td width="50%" valign="top">#x52 </td> <td width="50%" valign="top">#f52 </td> </tr></tbody> </table> </td> </tr> <tr> <td width="50%" valign="top"><br /> <table width="76" align="middle" style="border: 1px solid rgb(0, 0, 0); width: 76px; height: 150px; text-align: center; vertical-align: middle; background-image: none;" border="1" rules="all" frame="box" cellspacing="1" cellpadding="1"><tbody> <tr style="text-align: center; vertical-align: middle; background-image: none;"> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;" rowspan="1" colspan="2"><i><font face="times new roman,times,serif">Tabla </font></i>#r3 </td> </tr> <tr style="text-align: center; vertical-align: middle; background-image: none;"> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;"><i><font face="times new roman,times,serif">x</font></i> </td> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;"><i><font face="times new roman,times,serif">f(x)</font></i> </td> </tr> <tr> <td width="50%" valign="top">#x13 </td> <td width="50%" valign="top">#f13 </td> </tr> <tr> <td width="50%" valign="top">#x23 </td> <td width="50%" valign="top">#f23 </td> </tr> <tr> <td width="50%" valign="top">#x33 </td> <td width="50%" valign="top">#f33 </td> </tr> <tr> <td width="50%" valign="top">#x43 </td> <td width="50%" valign="top">#f43 </td> </tr> <tr> <td width="50%" valign="top">#x53 </td> <td width="50%" valign="top">#f53 </td> </tr></tbody> </table> </td> <td width="50%" valign="top"><br /> <table width="76" align="middle" style="border: 1px solid rgb(0, 0, 0); width: 76px; height: 150px; text-align: center; vertical-align: middle; background-image: none;" border="1" rules="all" frame="box" cellspacing="1" cellpadding="1"><tbody> <tr style="text-align: center; vertical-align: middle; background-image: none;"> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;" rowspan="1" colspan="2"><font face="times new roman,times,serif"><i> Tabla </i></font>#r4 </td> </tr> <tr style="text-align: center; vertical-align: middle; background-image: none;"> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;"><i><font face="times new roman,times,serif">x</font></i> </td> <td width="50%" valign="top" style="border: 1px solid rgb(0, 0, 0); text-align: center; vertical-align: middle; background-image: none;"><font face="times new roman,times,serif"><i>f(x)</i></font> </td> </tr> <tr> <td width="50%" valign="top">#x14 </td> <td width="50%" valign="top">#f14 </td> </tr> <tr> <td width="50%" valign="top">#x24 </td> <td width="50%" valign="top">#f24 </td> </tr> <tr> <td width="50%" valign="top">#x34 </td> <td width="50%" valign="top">#f34 </td> </tr> <tr> <td width="50%" valign="top">#x44 </td> <td width="50%" valign="top">#f44 </td> </tr> <tr> <td width="50%" valign="top">#x54 </td> <td width="50%" valign="top">#f54 </td> </tr></tbody> </table> </td> </tr></tbody> </table></p>
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<i><font size="4"><font face="times new roman,times,serif">Solución<font size="4"><font size="4">:<br /><br /><font size="4">Recuer<font size="4">da que la defin<font size="4">ición de función dice lo siguiente:<br /><br /><font size="4">Una correspondencia de<font size="4"> un conjunto <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»A«/mi»«/math»</span> no vacÃo a un conjunto <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»B«/mi»«/math»</span> es una función<font size="4">, si a cada elemento <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«/math»</span></font></font> de </font></font></font></font></font></font></font></font></i><i><font size="4"><font face="times new roman,times,serif"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font size="4"><font face="times new roman,times,serif"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»A«/mi»«/math»</span> le corresponde un único elemento <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»y«/mi»«/math»</span></font></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></font></font> de </i><i><font size="4"><font face="times new roman,times,serif"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»B«/mi»«/math»</span>. Además, debemos <font size="4">recorda<font size="4">r que los elementos de </font></font></font></font></font></font></font></font></font></font></font></i><i><font size="4"><font face="times new roman,times,serif"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font size="4"><font face="times new roman,times,serif"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»A«/mi»«/math»</span> se llaman preimágenes y los e<font size="4">lementos de </font></font></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></font></font></font></i><i><font size="4"><font face="times new roman,times,serif"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font size="4"><font face="times new roman,times,serif"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font size="4"><font face="times new roman,times,serif"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»B«/mi»«/math»</span></font></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></font></font></font><font size="4"> <font face="times new roman,times,serif">se llaman<font size="4"> imágenes. </font>Con es<font size="4">to, pod<font size="4">emos ver que l<font size="4">a tabla<font size="4"> <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#alt«/mi»«/math»</span> tien</font></font></font></font></font></font></i><i><font size="4"><font face="times new roman,times,serif"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4">e dos preimágenes iguales<font size="4"> con imágenes distintas<font size="4">;</font> po<font size="4">r lo tanto, esta correspondencia no es función<font size="4">. Luego, la alternativa es #sol</font></font></font></font></font></font></font></font></font></font></font></font></font></font></font></font></font><br /></i>
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a., b., c., ...
A., B., C., ...
1., 2., 3., ...
i., ii., iii., ...
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No numbering
WIRIS variables
Algorithm
Choice 1
Answer
#sol
Grade
None
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Feedback
<i><font face="times new roman,times,serif" size="4"><font size="4">¡</font>Muy bien</font><font face="times new roman,times,serif">!</font></i>
Choice 2
Answer
#op1
Grade
None
100%
90%
83.33333%
80%
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66.66667%
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Feedback
<font size="4"><i><font face="times new roman,times,serif">Revisa bien esta tabla porque las im<font size="4">ágenes son todas distintas<font size="4">, recuerda que la pregunta dice cual NO es función.</font></font></font></i></font>
Choice 3
Answer
#op2
Grade
None
100%
90%
83.33333%
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70%
66.66667%
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Feedback
<font size="4"><i><font face="times new roman,times,serif">Revisa bien esta tabla porque las im<font size="4">ágenes son todas distintas<font size="4">, recuerda que la pregunta dice cual NO es función.</font></font></font></i></font>
Choice 4
Answer
#op3
Grade
None
100%
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83.33333%
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Feedback
<font size="4"><i><font face="times new roman,times,serif">Revisa bien esta tabla porque las im<font size="4">ágenes son todas distintas<font size="4">, recuerda que la pregunta dice cual NO es función.</font></font></font></i></font>
Choice 5
Answer
Grade
None
100%
90%
83.33333%
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66.66667%
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Choice 6
Answer
Grade
None
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90%
83.33333%
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66.66667%
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Choice 7
Answer
Grade
None
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90%
83.33333%
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70%
66.66667%
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Feedback
Combined feedback
For any correct response
For any partially correct response
Options
Show the number of correct responses once the question has finished
For any incorrect response
Settings for multiple tries
Penalty for each incorrect try
100%
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33.33333%
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0%
Hint 1
Hint text
Options
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Show the number of correct responses
Hint 2
Hint text
Options
Clear incorrect responses
Show the number of correct responses
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Created
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Admin User
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Tuesday, 13 August 2013, 4:22 PM
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