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

In the initialization section, we need to include the macros 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_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.