Difference between revisions of "FunctionDecomposition1"
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<h2>Function Decomposition</h2> |
<h2>Function Decomposition</h2> |
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+ | [[File:FunctionDecomposition1.png|300px|thumb|right|Click to enlarge]] |
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+ | <p style="background-color:#f9f9f9;border:black solid 1px;padding:3px;"> |
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This PG code shows how to check student answers that are a composition of functions. |
This PG code shows how to check student answers that are a composition of functions. |
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− | <ul> |
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− | <li>Download file: [[File:FunctionDecomposition1.txt]] (change the file extension from txt to pg when you save it)</li> |
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− | <li>File location in NPL: <code>NationalProblemLibrary/FortLewis/Authoring/Templates/Precalc/FunctionDecomposition1.pg</code></li> |
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− | </ul> |
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</p> |
</p> |
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+ | * File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Precalc/FunctionDecomposition1.pg FortLewis/Authoring/Templates/Precalc/FunctionDecomposition1.pg] |
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+ | * PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Precalc/FunctionDecomposition1_PGML.pg FortLewis/Authoring/Templates/Precalc/FunctionDecomposition1_PGML.pg] |
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<p style="text-align:center;"> |
<p style="text-align:center;"> |
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[[SubjectAreaTemplates|Templates by Subject Area]] |
[[SubjectAreaTemplates|Templates by Subject Area]] |
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<b>Answer Evaluation:</b> |
<b>Answer Evaluation:</b> |
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− | We use the <code>COMPOSITION_ANS()</code> routine to evaluate both answer blanks. It is possible to use the same variable for both answer blanks. See [http://webwork.maa.org/pod/ |
+ | We use the <code>COMPOSITION_ANS()</code> routine to evaluate both answer blanks. It is possible to use the same variable for both answer blanks. See [http://webwork.maa.org/pod/pg/macros/answerComposition.html answerComposition.pl] for more options and details. |
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[[Category:Top]] |
[[Category:Top]] |
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+ | [[Category:Sample Problems]] |
+ | [[Category:Subject Area Templates]] |
Revision as of 17:40, 7 April 2021
Function Decomposition
This PG code shows how to check student answers that are a composition of functions.
- File location in OPL: FortLewis/Authoring/Templates/Precalc/FunctionDecomposition1.pg
- PGML location in OPL: FortLewis/Authoring/Templates/Precalc/FunctionDecomposition1_PGML.pg
PG problem file | Explanation |
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Problem tagging: |
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DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "answerComposition.pl", "AnswerFormatHelp.pl", ); TEXT(beginproblem()); |
Initialization:
We need to include the macros file |
Context("Numeric"); Context()->variables->add(u=>"Real"); $a = random(2,9,1); $f = Formula("sqrt(u)"); $g = Formula("x^2+$a"); |
Setup: |
Context()->texStrings; BEGIN_TEXT Express the function \( y = \sqrt{ x^2 + $a } \) as a composition \( y = f(g(x)) \) of two simpler functions \( y = f(u) \) and \( u = g(x) \). $BR $BR \( f(u) \) = \{ ans_rule(20) \} \{ AnswerFormatHelp("formulas") \} $BR \( g(x) \) = \{ ans_rule(20) \} \{ AnswerFormatHelp("formulas") \} END_TEXT Context()->normalStrings; |
Main Text: |
$showPartialCorrectAnswers = 1; COMPOSITION_ANS( $f, $g, vars=>['u','x'], showVariableHints=>1); |
Answer Evaluation:
We use the |
Context()->texStrings; BEGIN_SOLUTION ${PAR}SOLUTION:${PAR} Solution explanation goes here. END_SOLUTION Context()->normalStrings; COMMENT('MathObject version.'); ENDDOCUMENT(); |
Solution: |