Difference between revisions of "EquationsDefiningFunctions"

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<em>This PG code shows how to check student answers that are equations that define functions.</em>
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<em>This PG code shows how to check student answers that are equations that define functions. If an equation defines a function, it is much more reliable to use the this method of answer evaluation (via <code>parserAssignment.pl</code>) than the implicit equation method (via <code>parserImplicitEquation.pl</code>).</em>
 
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<b>Setup:</b>
 
<b>Setup:</b>
We must allow assignment, and declare any function names we wish to use.
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We must allow assignment, and declare any function names we wish to use. For more details and examples in other MathObjects <code>Contexts</code>, see [http://webwork.maa.org/doc/cvs/pg_CURRENT/macros/parserAssignment.pl.html parserAssignment.pl.html]
 
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Revision as of 01:40, 2 March 2010

Equations Defining Functions (Not Implicit)


This PG code shows how to check student answers that are equations that define functions. If an equation defines a function, it is much more reliable to use the this method of answer evaluation (via parserAssignment.pl) than the implicit equation method (via parserImplicitEquation.pl).

Problem Techniques Index

PG problem file Explanation
DOCUMENT();
loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"parserAssignment.pl",
);
TEXT(beginproblem());

Initialization: We need to include the macro file parserAssignment.pl.

Context("Numeric")->variables->are(x=>"Real",y=>"Real");
parser::Assignment->Allow;
parser::Assignment->Function("f");

$eqn = Formula("y=5x+2");
$f = Formula("f(x)=5x+2");

Setup: We must allow assignment, and declare any function names we wish to use. For more details and examples in other MathObjects Contexts, see parserAssignment.pl.html

BEGIN_TEXT
Enter \( y = 5x+2 \) \{ ans_rule(20) \}
$BR
Enter \( f(x) = 5x+2 \) \{ ans_rule(20) \}
END_TEXT

Main Text: The problem text section of the file is as we'd expect.

ANS( $eqn->cmp() );
ANS( $f->cmp() );

ENDDOCUMENT();

Answer Evaluation: As is the answer.

Problem Techniques Index