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).

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Complete Code

Download file: EquationsDefiningFunctions.pg

POD for Macro Files

PG problem file

Explanation

DOCUMENT();
loadMacros('PGstandard.pl', 'PGML.pl', 'parserAssignment.pl', 'PGcourse.pl');

Preamble

Include the macro 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

Set the variables in the context to be x and y, enable assignments in the context, and declare that the function f may be used on the left side of an assignment.

For more details see parserAssignment.pl.

BEGIN_PGML
Enter [`y = 5x + 2`]: [___]{$eqn}

Enter [`f(x) = 5x + 2`]: [___]{$f}
END_PGML

Statement

This is the problem statement in PGML. 
BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution

A solution should be provided here.