View of /trunk/rochester_problib/setAlgebra06EqnGraphs/p2.pg

    1 #DESCRIPTION
    2 ##  Algebra problem: Coordinates and Graphs
    3 ##ENDDESCRIPTION
    4 #DESCRIPTION
    5 ##  Algebra problem: Coordinates and Graphs
    6 ##ENDDESCRIPTION
    7 
    8 ##KEYWORDS('algebra', 'graph')
    9 
   10 DOCUMENT();        # This should be the first executable line in the problem.
   11 
   12 loadMacros(
   13 "PG.pl",
   14 "PGbasicmacros.pl",
   15 "PGchoicemacros.pl",
   16 "PGanswermacros.pl",
   17 "PGauxiliaryFunctions.pl",
   18 "extraAnswerEvaluators.pl"
   19 );
   20 
   21 TEXT(beginproblem());
   22 
   23 $showPartialCorrectAnswers = 0;
   24 install_problem_grader(~~&std_problem_grader);
   25 
   26 $a=random(1,9);
   27 
   28 $xint = $a**(1/3);
   29 $yint = $a;
   30 
   31 
   32 BEGIN_TEXT
   33 For the graph of the equation \(y=-x^3 + $a\),
   34 answer the following questions.
   35 $BR
   36 The \(x\)-intercepts have \(x =\)  \{ans_rule(30)\}
   37 $BR $BBOLD Note: $EBOLD
   38 If there is more than one answer enter them separated by commas.  If there are
   39 none, enter $BITALIC none $EITALIC.
   40 $BR
   41 The \(y\)-intercepts have \(y=\) \{ans_rule(30)\}
   42 $BR
   43 $BBOLD Note: $EBOLD
   44 If there is more than one answer enter them separated by commas.  If there are
   45 none, enter $BITALIC none $EITALIC.
   46 $BR
   47 Is the graph symmetric with respect to the \(x\)-axis?
   48 Input $BITALIC yes $EITALIC or $BITALIC no $EITALIC here : \{ans_rule(10)\}
   49 $BR
   50 Is the graph symmetric with respect to the \(y\)-axis?
   51 Input $BITALIC yes $EITALIC or $BITALIC no $EITALIC here : \{ans_rule(10)\}
   52 $BR
   53 Is the graph symmetric with respect to the origin?
   54 Input $BITALIC yes $EITALIC or $BITALIC no $EITALIC here : \{ans_rule(10)\}
   55 $BR
   56 END_TEXT
   57 
   58 $ans4 = "no";
   59 $ans5 = "no";
   60 $ans6 = "no";
   61 
   62 ANS(number_list_cmp("$xint", strings=>['none']));
   63 ANS(number_list_cmp("$yint", strings=>['none']));
   64 ANS(std_str_cmp($ans4));
   65 ANS(std_str_cmp($ans5));
   66 ANS(std_str_cmp($ans6));
   67 
   68 ENDDOCUMENT();        # This should be the last executable line in the problem.
   69