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| 1 : | jjholt | 156 | ## DESCRIPTION |
| 2 : | ## Algebra | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | jj | 145 | |
| 5 : | jjholt | 156 | ## KEYWORDS('function' 'inverse') |
| 6 : | ## Tagged by tda2d | ||
| 7 : | |||
| 8 : | ## DBsubject('Algebra') | ||
| 9 : | ## DBchapter('Functions') | ||
| 10 : | ## DBsection('One-to-one Functions and Their Inverses') | ||
| 11 : | ## Date('') | ||
| 12 : | ## Author('') | ||
| 13 : | ## Institution('Rochester') | ||
| 14 : | ## TitleText1('') | ||
| 15 : | ## EditionText1('') | ||
| 16 : | ## AuthorText1('') | ||
| 17 : | ## Section1('') | ||
| 18 : | ## Problem1('') | ||
| 19 : | |||
| 20 : | jj | 145 | DOCUMENT(); # This should be the first executable line in the problem. |
| 21 : | |||
| 22 : | loadMacros( | ||
| 23 : | "PG.pl", | ||
| 24 : | "PGbasicmacros.pl", | ||
| 25 : | "PGchoicemacros.pl", | ||
| 26 : | "PGanswermacros.pl", | ||
| 27 : | "PGauxiliaryFunctions.pl" | ||
| 28 : | ); | ||
| 29 : | |||
| 30 : | TEXT(beginproblem()); | ||
| 31 : | $showPartialCorrectAnswers = 1; | ||
| 32 : | |||
| 33 : | $a1 = random(2,15,1); | ||
| 34 : | |||
| 35 : | TEXT(EV2(<<EOT)); | ||
| 36 : | If \( f(x) = x^2, \quad x \ge 0 \), | ||
| 37 : | $PAR | ||
| 38 : | then | ||
| 39 : | \( f^{-1}( $a1 ) = \) \{ans_rule(10) \} | ||
| 40 : | EOT | ||
| 41 : | $ans = sqrt($a1); | ||
| 42 : | ANS(num_cmp($ans)); | ||
| 43 : | |||
| 44 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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