View of /trunk/NationalProblemLibrary/Rochester/setAlgebra28ExpFunctions/srw4_1_1.pg

    1 ## DESCRIPTION
    2 ## Algebra: Exponential and Logarithmic Functions
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS ('exponential')
    6 ## Tagged by cmd6a 4/4/06
    7 
    8 ## DBsubject('Algebra')
    9 ## DBchapter('Exponential and Logarithmic Functions')
   10 ## DBsection('Exponential Functions')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('Rochester')
   14 ## TitleText1('')
   15 ## EditionText1('')
   16 ## AuthorText1('')
   17 ## Section1('')
   18 ## Problem1('')
   19 
   20 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 $a=random(2,10,1);
   34 
   35 BEGIN_TEXT
   36 For the function \( f(x)= $a^x, \) calculate the following function values:
   37 $BR
   38 \(f(-3)=\) \{ans_rule(25) \}
   39 $BR
   40 \(f(-1)=\) \{ans_rule(25) \}
   41 $BR
   42 \(f(0)=\) \{ans_rule(25) \}
   43 $BR
   44 \(f(1)=\) \{ans_rule(25) \}
   45 $BR
   46 \(f(3)=\) \{ans_rule(25) \}
   47 $BR
   48 END_TEXT
   49 
   50 $ans1 = $a**(-3);
   51 $ans2 = 1/$a;
   52 $ans3 = 1;
   53 $ans4 = $a;
   54 $ans5 = $a**3;
   55 
   56 ANS(num_cmp($ans1));
   57 ANS(num_cmp($ans2));
   58 ANS(num_cmp($ans3));
   59 ANS(num_cmp($ans4));
   60 ANS(num_cmp($ans5));
   61 
   62 ENDDOCUMENT();        # This should be the last executable line in the problem.
   63