View of /trunk/NationalProblemLibrary/Rochester/setAlgebra28ExpFunctions/srw4_1_31.pg

    1 ## DESCRIPTION
    2 ## Algebra: Exponential and Logarithmic Functions
    3 ## ENDDESCRIPTION
    4 
    5 ## Tagged by cmd6a 4/4/06
    6 
    7 ## DBsubject('Algebra')
    8 ## DBchapter('Exponential and Logarithmic Functions')
    9 ## DBsection('Exponential Functions')
   10 ## Date('6/3/2002')
   11 ## TitleText1('College Algebra')
   12 ## AuthorText1('Stewart, Redlin, Watson')
   13 ## EditionText1('3')
   14 ## Section1('6.1')
   15 ## Problem1('24')
   16 ## KEYWORDS('algebra', 'expeonential function')
   17 
   18 DOCUMENT();        # This should be the first executable line in the problem.
   19 
   20 loadMacros(
   21 "PG.pl",
   22 "PGbasicmacros.pl",
   23 "PGchoicemacros.pl",
   24 "PGanswermacros.pl",
   25 "PGauxiliaryFunctions.pl"
   26 );
   27 
   28 TEXT(beginproblem());
   29 $showPartialCorrectAnswers = 0;
   30 install_problem_grader(~~&std_problem_grader);
   31 
   32 $a=random(3,9,1);
   33 $b=random(3,9,1);
   34 
   35 BEGIN_TEXT
   36 The graph of the function
   37 \( f(x)=$b^{x-$a} \)
   38 can be obtained from the graph of
   39 \( g(x)=$b^x \)
   40 by one of the following actions:
   41 $BR
   42 (a) shifting the graph of \(g(x)\) to the right $a units;
   43 $BR
   44 (b) shifting the graph of \(g(x)\) to the left $a units;
   45 $BR
   46 (c) shifting the graph of \(g(x)\) upward $a units;
   47 $BR
   48 (d) shifting the graph of \(g(x)\) downward $a units;
   49 $BR
   50 (e) reflecting the graph of \(g(x)\) in the \(x\)-axis;
   51 $BR
   52 (f) reflecting the graph of \(g(x)\) in the \(y\)-axis;
   53 $BR
   54 Your answer is (input a, b, c, d, e, or f) \{ans_rule(15) \}
   55 $BR
   56 Is the domain of the function \(f(x)\) still \( (-\infty,\infty) \)?
   57 $BR
   58 Your answer is (input Yes or No) \{ans_rule(15) \}
   59 $BR
   60 The range  of the function \(f(x)\) is \( (A, \infty) \),
   61 $BR
   62 the value of \(A\) is \{ans_rule(15) \}
   63 $BR
   64 END_TEXT
   65 
   66 $ans1 = "a";
   67 $ans2 = "Yes";
   68 $ans3 = 0;
   69 
   70 ANS(str_cmp($ans1));
   71 ANS(str_cmp($ans2));
   72 ANS(num_cmp($ans3));
   73 
   74 ENDDOCUMENT();        # This should be the last executable line in the problem.