Difference between revisions of "DomainRange1"

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(Created page with '<h2>Domain and Range of a Function</h2> 300px|thumb|right|Click to enlarge <p style="background-color:#f9f9f9;border:black solid 1px;padding:3px;"> Thi…')
 
(add historical tag and give links to newer problems.)
 
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{{historical}}
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<p style="font-size: 120%;font-weight:bold">This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/Algebra/DomainRange.html a newer version of this problem]</p>
  +
 
<h2>Domain and Range of a Function</h2>
  
<h2>Domain and Range of a Function</h2>
   
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This PG code shows how to evaluate answers that are inequalities which use different variables.
  
This PG code shows how to evaluate answers that are inequalities which use different variables.
 
</p>
  
</p>
−
* Download file: [[File:DomainRange1.txt]] (change the file extension from txt to pg when you save it)
  
  +
<!--* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Precalc/DomainRange1.pg FortLewis/Authoring/Templates/Precalc/DomainRange1.pg]-->
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* File location in NPL: <code>FortLewis/Authoring/Templates/Precalc/DomainRange1.pg</code>
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* PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Precalc/DomainRange1_PGML.pg FortLewis/Authoring/Templates/Precalc/DomainRange1_PGML.pg]
   
 
<br clear="all" />
  
<br clear="all" />
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<tr valign="top">
  
<tr valign="top">
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<th> PG problem file </th>
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<th style="width: 40%"> PG problem file </th>
 
<th> Explanation </th>
  
<th> Explanation </th>
 
</tr>
  
</tr>
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loadMacros(
  
loadMacros(
−
"PGstandard.pl",
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'PGstandard.pl',
−
"MathObjects.pl",
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'MathObjects.pl',
−
"contextInequalities.pl",
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'contextInequalities.pl',
−
"AnswerFormatHelp.pl",
 +
'PGML.pl',
  +
'PGcourse.pl'
 
);
  
);
   
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<p>
  
<p>
 
<b>Initialization:</b>
  
<b>Initialization:</b>
  +
We must load <code>contextInequalities.pl</code>.
 
</p>
  
</p>
 
</td>
  
</td>
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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');
   
−
Context("Inequalities-Only")->variables->are(x=>"Real");
  
  +
$domain = Compute('x >= 4');
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$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');
 
</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]
  +
</p>
  +
<p>
  +
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 -->
  
  +
- Domain: [_______]{$domain}
   
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<tr valign="top">
  
  +
- Range: [_________________]{$range}
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<td style="background-color:#eeddff;border:black 1px dashed;">
  
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<pre>
  
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$showPartialCorrectAnswers = 1;
  
   
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ANS( $domain->cmp() );
  
  +
[@ helpLink('inequalities') @]*
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</pre>
  
  +
END_PGML
−
<td style="background-color:#eeccff;padding:7px;">
  
−
<p>
  
−
<b>Answer Evaluation 1:</b>
  
−
</p>
  
−
</td>
  
−
</tr>
  
−  
−  
−  
−
<!-- Setup section -->
  
−  
−
<tr valign="top">
  
−
<td style="background-color:#ffffdd;border:black 1px dashed;">
  
−
<pre>
  
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Context("Inequalities-Only")->variables->are(y=>"Real");
  
−  
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$range = Compute("y >= 0");
  
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</pre>
  
−
</td>
  
−
<td style="background-color:#ffffcc;padding:7px;">
  
−
<p>
  
−
<b>Setup 2:</b>
 
−
</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;">
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[[Category:Top]]
  
[[Category:Top]]
−
[[Category:Authors]]
 +
[[Category:Sample Problems]]
  +
[[Category:Subject Area Templates]]

Latest revision as of 06:54, 18 July 2023

This article has been retained as a historical document. It is not up-to-date and the formatting may be lacking. Use the information herein with caution.

This problem has been replaced with a newer version of this problem

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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