Difference between revisions of "DomainRange1"
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+ | 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. |
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Revision as of 21:02, 4 December 2010
Domain and Range of a Function
This PG code shows how to evaluate answers that are inequalities which use different variables.
- Download file: File:DomainRange1.txt (change the file extension from txt to pg when you save it)
- File location in NPL:
FortLewis/Authoring/Templates/Precalc/DomainRange1.pg
PG problem file | Explanation |
---|---|
Problem tagging: |
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DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "contextInequalities.pl", "AnswerFormatHelp.pl", ); TEXT(beginproblem()); |
Initialization:
We must load |
Context("Numeric"); $f = Compute("sqrt(x-4)"); Context("Inequalities-Only")->variables->are(x=>"Real"); $domain = Compute("x >= 4"); |
Setup 1:
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()->texStrings; BEGIN_TEXT Suppose \( f(x) = $f \). Enter inequalities for the domain and range of \( f \). $BR $BR Domain: \{ ans_rule(20) \} \{ AnswerFormatHelp("inequalities") \} $BR END_TEXT Context()->normalStrings; |
Main Text 1: |
$showPartialCorrectAnswers = 1; ANS( $domain->cmp() ); |
Answer Evaluation 1: |
Context("Inequalities-Only")->variables->are(y=>"Real"); $range = Compute("y >= 0"); |
Setup 2: We must reset the context and the variable so that students must enter the variable y in their answer. |
Context()->texStrings; BEGIN_TEXT Range:$SPACE$SPACE \{ ans_rule(20) \} \{ AnswerFormatHelp("inequalities") \} END_TEXT Context()->normalStrings; |
Main Text 2: |
ANS( $range ->cmp() ); |
Answer Evaluation 2: |
Context()->texStrings; BEGIN_SOLUTION ${PAR}SOLUTION:${PAR} Solution explanation goes here. END_SOLUTION Context()->normalStrings; COMMENT('MathObject version.'); ENDDOCUMENT(); |
Solution: |