DomainRange1: Difference between revisions

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<tr valign="top">
<tr valign="top">
<th> PG problem file </th>
<th style="width: 40%"> PG problem file </th>
<th> Explanation </th>
<th> Explanation </th>
</tr>
</tr>
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loadMacros(
loadMacros(
"PGstandard.pl",
  'PGstandard.pl',
"MathObjects.pl",
  'MathObjects.pl',
"contextInequalities.pl",
  'contextInequalities.pl',
"AnswerFormatHelp.pl",
  'PGML.pl',
  'PGcourse.pl'
);
);


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<td style="background-color:#ffffdd;border:black 1px dashed;">
<td style="background-color:#ffffdd;border:black 1px dashed;">
<pre>
<pre>
Context("Numeric");
$f = Compute('sqrt(x-4)');


$f = Compute("sqrt(x-4)");
Context('Inequalities-Only')->variables->are(x=>'Real');
Context()->flags->set(formatStudentAnswer=>'parsed');
 
$domain = Compute('x >= 4');


Context("Inequalities-Only")->variables->are(x=>"Real");
# the context needs to change for the range
Context('Inequalities-Only')->variables->are(y=>'Real');
Context()->flags->set(formatStudentAnswer=>'parsed');
Context()->flags->set(formatStudentAnswer=>'parsed');
 
$range  = Compute('y >= 0');
$domain = Compute("x >= 4");
</pre>
</pre>
</td>
</td>
<td style="background-color:#ffffcc;padding:7px;">
<td style="background-color:#ffffcc;padding:7px;">
<p>
<p>
<b>Setup 1:</b>  
<b>Setup:</b>  
We specify the context in a way that requires students to enter their answer using inequalities and the variable x.  If we had used <code>Context("Inequalities")</code> instead, then students would also be able to enter answers using interval notation.  For more details, please see [http://webwork.maa.org/pod/pg/macros/contextInequalities.html contextInequalities.pl]
We specify the context in a way that requires students to enter their answer using inequalities and the variable x.  If we had used <code>Context("Inequalities")</code> instead, then students would also be able to enter answers using interval notation.  For more details, please see [http://webwork.maa.org/pod/pg/macros/contextInequalities.html contextInequalities.pl]
</p>
</p>
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We use <code>formatStudentAnswer=>'parsed'</code> and <code>Compute()</code> so that the student's answer are left as fractions rather than reduced to decimals.
We use <code>formatStudentAnswer=>'parsed'</code> and <code>Compute()</code> so that the student's answer are left as fractions rather than reduced to decimals.
</p>
</p>
<p>For the domain, since the variable is now <tt>y</tt>, we must reset the context and the variable so that students must enter the variable y in their answer.</p>
</td>
</td>
</tr>
</tr>
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<td style="background-color:#ffdddd;border:black 1px dashed;">
<td style="background-color:#ffdddd;border:black 1px dashed;">
<pre>
<pre>
Context()->texStrings;
BEGIN_PGML
BEGIN_TEXT
Suppose [` f(x) = [$f] `].  Enter inequalities for the
Suppose \( f(x) = $f \).  Enter inequalities for the  
domain and range of [` f `].
domain and range of \( f \).
$BR
$BR
Domain:
\{ ans_rule(20) \}
\{ AnswerFormatHelp("inequalities") \}
$BR
END_TEXT
Context()->normalStrings;
</pre>
<td style="background-color:#ffcccc;padding:7px;">
<p>
<b>Main Text 1:</b>
</p>
</td>
</tr>
 
<!-- Answer evaluation section -->
 
<tr valign="top">
<td style="background-color:#eeddff;border:black 1px dashed;">
<pre>
$showPartialCorrectAnswers = 1;


ANS( $domain->cmp() );
- Domain: [_______]{$domain}
</pre>
<td style="background-color:#eeccff;padding:7px;">
<p>
<b>Answer Evaluation 1:</b>
</p>
</td>
</tr>


- Range: [_________________]{$range}


 
[@ helpLink('inequalities') @]*
<!-- Setup section -->
END_PGML
 
<tr valign="top">
<td style="background-color:#ffffdd;border:black 1px dashed;">
<pre>
Context("Inequalities-Only")->variables->are(y=>"Real");
Context()->flags->set(formatStudentAnswer=>'parsed');
 
$range  = Compute("y >= 0");
</pre>
</td>
<td style="background-color:#ffffcc;padding:7px;">
<p>
<b>Setup 2:</b>
We must reset the context and the variable so that students must enter the variable y in their answer.
</p>
</td>
</tr>
 
<!-- Main text section -->
 
<tr valign="top">
<td style="background-color:#ffdddd;border:black 1px dashed;">
<pre>
Context()->texStrings;
BEGIN_TEXT
Range:$SPACE$SPACE
\{ ans_rule(20) \}
\{ AnswerFormatHelp("inequalities") \}
END_TEXT
Context()->normalStrings;
</pre>
</pre>
<td style="background-color:#ffcccc;padding:7px;">
<td style="background-color:#ffcccc;padding:7px;">
<p>
<p>
<b>Main Text 2:</b>
<b>Main Text:</b>
</p>
</p>
</td>
</td>
</tr>
</tr>
<!-- Answer evaluation section -->
<tr valign="top">
<td style="background-color:#eeddff;border:black 1px dashed;">
<pre>
ANS( $range ->cmp() );
</pre>
<td style="background-color:#eeccff;padding:7px;">
<p>
<b>Answer Evaluation 2:</b>
</p>
</td>
</tr>




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<td style="background-color:#ddddff;border:black 1px dashed;">
<td style="background-color:#ddddff;border:black 1px dashed;">
<pre>
<pre>
Context()->texStrings;
BEGIN_PGML_SOLUTION
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
Solution explanation goes here.
END_SOLUTION
END_PGML_SOLUTION
Context()->normalStrings;
 
COMMENT('MathObject version.');
 
ENDDOCUMENT();
</pre>
</pre>
<td style="background-color:#ddddff;padding:7px;">
<td style="background-color:#ddddff;padding:7px;">

Revision as of 17:56, 10 March 2023

Domain and Range of a Function

Click to enlarge

This PG code shows how to evaluate answers that are inequalities which use different variables.


Templates by Subject Area

PG problem file Explanation

Problem tagging data

Problem tagging: 

DOCUMENT();

loadMacros(
  'PGstandard.pl',
  'MathObjects.pl',
  'contextInequalities.pl',
  'PGML.pl',
  'PGcourse.pl'
);

TEXT(beginproblem());

Initialization: We must load contextInequalities.pl. 

$f = Compute('sqrt(x-4)');

Context('Inequalities-Only')->variables->are(x=>'Real');
Context()->flags->set(formatStudentAnswer=>'parsed');

$domain = Compute('x >= 4');

# the context needs to change for the range
Context('Inequalities-Only')->variables->are(y=>'Real');
Context()->flags->set(formatStudentAnswer=>'parsed');
$range  = Compute('y >= 0');

Setup: We specify the context in a way that requires students to enter their answer using inequalities and the variable x. If we had used Context("Inequalities") instead, then students would also be able to enter answers using interval notation. For more details, please see contextInequalities.pl

We use formatStudentAnswer=>'parsed' and Compute() so that the student's answer are left as fractions rather than reduced to decimals.

For the domain, since the variable is now y, we must reset the context and the variable so that students must enter the variable y in their answer.

 
BEGIN_PGML
Suppose [` f(x) = [$f] `].  Enter inequalities for the
domain and range of [` f `].

- Domain: [_______]{$domain}

- Range: [_________________]{$range}

[@ helpLink('inequalities') @]*
END_PGML

Main Text: 

BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

Solution:

Templates by Subject Area

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