DomainRange1
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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: |
|
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: |
