| 1 | #DESCRIPTION |
1 | # This file is just a pointer to the file |
| 2 | # Tests the ability to recognize the graphs created by |
2 | # |
| 3 | # translation and stretching transformations. |
3 | # "Library/Rochester/setAlgebra16FunctionGraphs/c2s2p59_72/c2s2p59_72.pg" |
| 4 | #ENDDESCRIPTION |
4 | # |
| 5 | ##KEYWORDS('algebra', 'function') |
5 | # You may want to change your problem set to use that problem |
| 6 | ## tcao tagged and PAID on 2-20-2004 |
6 | # directly, especially if you want to make a copy of the problem |
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7 | # for modification. |
| 7 | |
8 | |
| 8 | ## DBsubject('Algebra') |
9 | DOCUMENT(); |
| 9 | ## DBchapter('Functions') |
10 | includePGproblem("Library/Rochester/setAlgebra16FunctionGraphs/c2s2p59_72/c2s2p59_72.pg"); |
| 10 | ## DBsection('Graphs of Functions') |
11 | ENDDOCUMENT(); |
| 11 | ## Date('6/3/2002') |
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| 12 | ## Author('') |
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| 13 | ## Institution('') |
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| 14 | ## TitleText1('College Algebra') |
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| 15 | ## EditionText1('3') |
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| 16 | ## AuthorText1('Stewart, Redlin, Watson') |
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| 17 | ## Section1('4.2') |
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| 18 | ## Problem1('61 68 63 64') |
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| 19 | DOCUMENT(); # This should be the first executable line in the problem. |
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| 20 | |
12 | |
| 21 | loadMacros("PG.pl", |
13 | ## These tags keep this problem from being added to the NPL database |
| 22 | "PGbasicmacros.pl", |
14 | ## |
| 23 | "PGchoicemacros.pl", |
15 | ## DBsubject('ZZZ-Inserted Text') |
| 24 | "PGanswermacros.pl", |
16 | ## DBchapter('ZZZ-Inserted Text') |
| 25 | "PGauxiliaryFunctions.pl" |
17 | ## DBsection('ZZZ-Inserted Text') |
| 26 | ); |
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| 27 | |
18 | |
| 28 | |
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| 29 | $showPartialCorrectAnswers = 0; |
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| 30 | |
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| 31 | TEXT(beginproblem()); |
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| 32 | |
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| 33 | |
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| 34 | # Define which of the three sets of pictures to use |
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| 35 | |
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| 36 | # The pictures are labeled 1.gif, 2.gif and 3.gif and |
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| 37 | # stored in the same directory as staticgraphicsexample.gif |
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| 38 | # These are the corresponding transformed pictures. |
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| 39 | # Be careful with the labeling, since the URL's could give the |
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| 40 | # correct answers away. |
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| 41 | # (In this example the middle integer tells you |
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| 42 | # the correct position.) |
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| 43 | |
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| 44 | $pictID[1] = [ |
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| 45 | "1-c2s2591.gif", |
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| 46 | "1-c2s2601.gif", |
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| 47 | "1-c2s2611.gif", |
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| 48 | "1-c2s2621.gif", |
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| 49 | "1-c2s2631.gif", |
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| 50 | "1-c2s2641.gif", |
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| 51 | "1-c2s2671.gif", |
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| 52 | "1-c2s2681.gif", |
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| 53 | ]; |
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| 54 | $ml = new_match_list(); |
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| 55 | |
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| 56 | $pictSet=random(1,1,1); # Choose one of the three picture sets |
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| 57 | #$pictSetname = $pictSet.".gif"; |
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| 58 | $ml->qa ( |
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| 59 | "\( {\rm Piecewise\, function:} f(x)=-1,\,{\rm if} \, x<2\,{\rm and} |
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| 60 | f(x)=1, \, {\rm if} \, x\ge 2 \) ", |
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| 61 | image($pictID[$pictSet][0],tex_size=>200), |
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| 62 | "\( {\rm Piecewise\, function:} f(x)=1,\,{\rm if} \, x\le 1\,{\rm and} |
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| 63 | f(x)=x+1, \, {\rm if} \, x> 1 \) ", |
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| 64 | image($pictID[$pictSet][1],tex_size=>200), |
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| 65 | "\( {\rm Piecewise\, function:} f(x)=3,\,{\rm if} \, x<2\,{\rm and} |
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| 66 | f(x)=x-1, \, {\rm if} \, x\ge 2 \) ", |
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| 67 | image($pictID[$pictSet][2],tex_size=>200), |
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| 68 | "\( {\rm Piecewise\, function:} f(x)=1-x,\,{\rm if} \, x<-2\,{\rm and} |
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| 69 | f(x)=4, \, {\rm if} \, x\ge -2 \) ", |
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| 70 | image($pictID[$pictSet][3],tex_size=>200), |
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| 71 | "\( {\rm Piecewise\, function:} f(x)=x,\,{\rm if} \, x\le 0\,{\rm and} |
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| 72 | f(x)=x+1, \, {\rm if} \, x>0 \) ", |
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| 73 | image($pictID[$pictSet][4],tex_size=>200), |
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| 74 | "\( {\rm Piecewise\, function:} f(x)=2x+3,\,{\rm if} \, x<-1\,{\rm and} |
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| 75 | f(x)=3-x, \, {\rm if} \, x\ge -1 \) ", |
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| 76 | image($pictID[$pictSet][5],tex_size=>200), |
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| 77 | "\( {\rm Piecewise\, function:} f(x)=2,\,{\rm if} \, x\le -1\,{\rm and} |
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| 78 | f(x)=x^2, \, {\rm if} \, x>-1 \) ", |
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| 79 | image($pictID[$pictSet][6],tex_size=>200), |
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| 80 | "\( {\rm Piecewise\, function:} f(x)=1-x^2,\,{\rm if} \, x\le 2\,{\rm and} |
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| 81 | f(x)=x, \, {\rm if} \, x> 2 \) ", |
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| 82 | image($pictID[$pictSet][7],tex_size=>200), |
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| 83 | ); |
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| 84 | $numGraphs = 4; |
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| 85 | $ml->choose($numGraphs); |
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| 86 | sub format_graphs { |
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| 87 | my $self = shift; |
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| 88 | my @in = @_; |
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| 89 | my $out = ""; |
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| 90 | while(@in) { |
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| 91 | $out .= shift(@in). "#" ; |
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| 92 | } |
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| 93 | $out; # The output has to be a string in order to conform to the |
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| 94 | # specs for the match list object, but I've put some |
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| 95 | # markers in (#) so that |
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| 96 | # I can break the string up into a list for use |
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| 97 | # as an input into row. |
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| 98 | } |
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| 99 | |
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| 100 | # We need to change the output, since the normal |
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| 101 | # output routine will put the pictures one above another. |
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| 102 | $ml->rf_print_a(~~&format_graphs); |
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| 103 | |
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| 104 | BEGIN_TEXT |
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| 105 | Match the functons with their graphs. |
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| 106 | Enter the letter of the graph below which corresponds to the function. |
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| 107 | ($BBOLD Click on image for a larger view $EBOLD) |
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| 108 | \{ $ml -> print_q \} |
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| 109 | END_TEXT |
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| 110 | |
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| 111 | # Place the output into a table |
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| 112 | TEXT( |
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| 113 | begintable($numGraphs), |
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| 114 | row( split("#",$ml->print_a() ) ), |
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| 115 | row(@ALPHABET[ 0..($numGraphs-1) ] ), |
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| 116 | endtable(), |
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| 117 | ); |
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| 118 | |
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| 119 | ANS(str_cmp( $ml ->ra_correct_ans() ) ) ; |
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| 120 | |
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| 121 | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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| 122 | |
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