Table of Values

Function table of values

Complete Code

POD for Macro Files

niceTables.pl

PG problem file

Explanation

DOCUMENT();

loadMacros('PGstandard.pl', 'PGML.pl', 'niceTables.pl', 'PGcourse.pl');

Preamble

These standard macros need to be loaded.

$f = Formula('3^(-x)');

@answer = ();
for $i (0 .. 2) {
    $answer[$i] = $f->eval(x => $i);
}

$table = DataTable(
    [
        [ '\(x\)', '\(f(x)\)' ],
        [ '\(0\)', ans_rule(4) ],
        [ '\(1\)', ans_rule(4) ],
        [ '\(2\)', ans_rule(4) ],
    ],
    horizontalrules => 1,
    texalignment    => '|c|c|'
);

Setup

We create an empty array @answer and use a for loop to simplify filling it with values.

The DataTable is from niceTables.pl. This builds a simple table. The options horizontalrules and texalignment gives the borders around each of the cells.

BEGIN_PGML
If [`f(x) = [$f]`], fill in the table of values with numbers.

[@ $table @]*
END_PGML

Statement

This is the problem statement in PGML.

for $i (0 .. 2) {
    ANS($answer[$i]->cmp);
}

Answer

Because the answer blanks are built with ans_rule inside the table, we need to use the traditional ANS call here.

BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution

A solution should be provided here.