Table of Values

Function table of values

Complete Code

PG problem file

Explanation

DOCUMENT();

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

Preamble

The niceTables.pl macro is implicitly used in this problem, but is automatically loaded by the PGML.pl macro.

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

@answer = map { $f->eval(x => $_) } 0 .. 2;

Setup

Create the array @answer filled with values via a map.

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

[#
    [.[`x`].] [.[`f(x)`].]*{ headerrow => 1 }
    [.[`0`].] [.[_]{$answer[0]}.]*
    [.[`1`].] [.[_]{$answer[1]}.]*
    [.[`2`].] [.[_]{$answer[2]}.]*
#]{
    horizontalrules => 1,
       texalignment    => '|c|c|',
       padding         => [ 0.5, 0.5 ],
    valign          => 'middle'
}
END_PGML

Statement

Create a niceTables.pl DataTable via the PGML syntax. The first row is declared to be a row of headers by adding the headerrow => 1 option to any cell in that row. Note that this option applies to the entire row. The horizontalrules and texalignmentoptions add borders around each of the cells. The option padding => [0.5, 0.5] adds a bit more vertical space in each cell to improve the appearance. The option valign => 'middle' gives better vertical alignment for this table.

BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution

A solution should be provided here.