EquationsDefiningFunctions

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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

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