DomainRange1

Domain and Range of a Function

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This PG code shows how to evaluate answers that are inequalities which use different variables.

• PGML location in OPL: FortLewis/Authoring/Templates/Precalc/DomainRange1_PGML.pg

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PG problem file	Explanation
Problem tagging data	Problem tagging:
DOCUMENT(); loadMacros( 'PGstandard.pl', 'MathObjects.pl', 'contextInequalities.pl', 'PGML.pl', 'PGcourse.pl' ); TEXT(beginproblem());	Initialization: We must load contextInequalities.pl.
$f = Compute('sqrt(x-4)'); Context('Inequalities-Only')->variables->are(x=>'Real'); Context()->flags->set(formatStudentAnswer=>'parsed'); $domain = Compute('x >= 4'); # the context needs to change for the range Context('Inequalities-Only')->variables->are(y=>'Real'); Context()->flags->set(formatStudentAnswer=>'parsed'); $range = Compute('y >= 0');	Setup: We specify the context in a way that requires students to enter their answer using inequalities and the variable x. If we had used Context("Inequalities") instead, then students would also be able to enter answers using interval notation. For more details, please see contextInequalities.pl We use formatStudentAnswer=>'parsed' and Compute() so that the student's answer are left as fractions rather than reduced to decimals. For the domain, since the variable is now y, we must reset the context and the variable so that students must enter the variable y in their answer.
BEGIN_PGML Suppose [` f(x) = [$f] `]. Enter inequalities for the domain and range of [` f `]. - Domain: [_______]{$domain} - Range: [_________________]{$range} [@ helpLink('inequalities') @]* END_PGML	Main Text:
BEGIN_PGML_SOLUTION Solution explanation goes here. END_PGML_SOLUTION	Solution:

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