EquationDefiningFunction1

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Answer is an Equation Defining a Function

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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)


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PG problem file Explanation

Problem tagging data

Problem tagging:

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");
$fun = Formula("f(x)=3x^2+2x");

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

Context()->texStrings;
BEGIN_TEXT
Enter \( y = 5x+2 \) \{ ans_rule(20) \}
$BR
$BR
Enter \( f(x) = 3x^2+2x \) \{ ans_rule(20) \}
END_TEXT
Context()->normalStrings;

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

$showPartialCorrectAnswers = 1;

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

Answer Evaluation: As is the answer.


Context()->texStrings;
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;

COMMENT('MathObject version.');

ENDDOCUMENT();

Solution:


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