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1"},"master_set":{"id":"68e4482b3eb2ed0b9e7319da","problems":{"id":"6519e2626abc020002eae9a3","proof":false,"graphical_geometric":false,"tags_array":[],"grade_level_from":null,"grade_level_to":null,"skill_ids":["5a1353dfc04210000414872f","5a141da4ac370c0004c76087","5a1353dfc04210000414872f","5a141da4ac370c0004c76087","5a1ed152dbc33f000416a382","5a1353dfc04210000414872f","5a141da4ac370c0004c76087","5a1ed152dbc33f000416a382","5a1353dfc04210000414872f","5a141da4ac370c0004c76087","5a1ed152dbc33f000416a382"],"contest_event_ids":[],"header":"","solution":"","part_attributes":[{"id":"5a1353e5c0421000041487f3","part_id":"5a1353e5c0421000041487f2","description":null,"points":3.0,"automatic_manual_credit":true,"accessible":false,"format":"ww","pg":"###DESCRIPTION\n## Polynomials\n## \n##ENDDESCRIPTION\n## DBsubject(Algebra)\n## DBchapter(Functions)\n## DBsection(Function notation)\n## Institution(The College of Idaho)\n## Author(RA Cruz)\n## MLT(PolyNumInputOnly)\n## Level(2)\n## MO(1)\n## TitleText1('Essentials of Intermediate Algebra')\n## AuthorText1('Blitzer')\n## EditionText1('1')\n## Section1('5.1')\n## Problem1('')\n## KEYWORDS('polynomials')\n## Date: 2007/10\n\nDOCUMENT(); # This should be the first executable line in the problem.\n\nloadMacros(\n  \"PGstandard.pl\",\n  \"PGchoicemacros.pl\",\n  \"MathObjects.pl\",\n  \"PGcourse.pl\"\n);\n\nTEXT(beginproblem());\n\n######################################\n#  Setup\n\n\n\n$a = random(1,3,1);  \n\n$b = random(-1,1,2);  \n\n\n$p = Formula(\"$a x^2 + $b x\"); #Use this to build the polynomial\n\n\n$input1 = list_random(-3,-2,2,3);    \n\n$input2 = -1*$input1 + non_zero_random(-1,1,2);\n\n\n\n$c= $p-\u003eeval(x=\u003e$input2);    #Input2 is a zero of the polynomial.\n$f = Compute($p - $c)-\u003ereduce;    \n$poly = $f-\u003eTeX;\n\n\n#----Scramble the input\n@input = ($input1, $input2, 0);\n@slice = NchooseK(3,3);\n@x = @input[@slice];      #Want one positive, negative and zero\n                         \n\n######################################\n\n#  Main text\n\n\n\nBEGIN_TEXT\n\nFind the indicated functional values.  \n\n\n\n \\[ g(x) =   $poly   \\]\n\n\n\n$BR\n\n$BR\n\na) \\( g($x[0]) \\) = \\{ans_rule(15)\\}\n\n$BR\n\n$BR\n\nb) \\( g($x[1]) \\) = \\{ans_rule(15)\\}\n\n$BR\n\n$BR\n\nc) \\( g($x[2]) \\) = \\{ans_rule(15)\\}\n\n$BR\n\nEND_TEXT\n\n\n\n######################################\n\n#  Answer\n\n\n\n$ans_a = $f-\u003eeval(x=\u003e$x[0]);\nANS($ans_a-\u003ecmp);\n\n$ans_b = $f-\u003eeval(x=\u003e$x[1]);\nANS($ans_b-\u003ecmp);\n\n$ans_c = $f-\u003eeval(x=\u003e$x[2]);\nANS($ans_c-\u003ecmp);\n\n\n$showPartialCorrectAnswers = 1;\n\n######################################\n\n\n\n;\nENDDOCUMENT();\n","use_equation_editor":null,"webwork_features":[],"part_attributes":[{"id":"5a1dbefc387b30000416735d","part_id":"5a1353e5c0421000041487f5","description":null,"points":1.0,"automatic_manual_credit":true,"accessible":false,"answer":"-10","format":"ws","answer_name":"AnSwEr0001","extra":false,"applet_state":false,"multipart":false,"manually_gradable":false,"answer_text":"\\(-10\\)"},{"id":"5a1dbefc387b30000416735e","part_id":"5a1353e5c0421000041487f6","description":null,"points":1.0,"automatic_manual_credit":true,"accessible":false,"answer":"-24","format":"ws","answer_name":"AnSwEr0002","extra":false,"applet_state":false,"multipart":false,"manually_gradable":false,"answer_text":"\\(-24\\)"},{"id":"5a1dbefc387b30000416735f","part_id":"5a1353e5c0421000041487f7","description":null,"points":1.0,"automatic_manual_credit":true,"accessible":false,"answer":"0","format":"ws","answer_name":"AnSwEr0003","extra":false,"applet_state":false,"multipart":false,"manually_gradable":false,"answer_text":"\\(0\\)"}],"interactive_html":"\u003cp\u003e\nFind the indicated functional values.  \n\n\n\n \\[g(x) =   3x^{2}-x-24\\]\u003cbr\u003e\u003cbr\u003e\n\na) \\(g(-2)\\) = \u003cinput type=\"text\" class=\"codeshard\" size=\"15\" name=\"AnSwEr0001\" id=\"AnSwEr0001\" aria-label=\"answer 1 \" value=\"\"\u003e\u003cinput type=\"hidden\" name=\"previous_AnSwEr0001\" value=\"\"\u003e\u003cbr\u003e\u003cbr\u003e\n\nb) \\(g(0)\\) = \u003cinput type=\"text\" class=\"codeshard\" size=\"15\" name=\"AnSwEr0002\" id=\"AnSwEr0002\" aria-label=\"answer 2 \" value=\"\"\u003e\u003cinput type=\"hidden\" name=\"previous_AnSwEr0002\" value=\"\"\u003e\u003cbr\u003e\u003cbr\u003e\n\nc) \\(g(3)\\) = \u003cinput type=\"text\" class=\"codeshard\" size=\"15\" name=\"AnSwEr0003\" id=\"AnSwEr0003\" aria-label=\"answer 3 \" value=\"\"\u003e\u003cinput type=\"hidden\" name=\"previous_AnSwEr0003\" value=\"\"\u003e\u003cbr\u003e\u003c/p\u003e","static_html":"\u003cp\u003e\nFind the indicated functional values.  \n\n\n\n \\[g(x) =   3x^{2}-x-24\\]\u003cbr\u003e\u003cbr\u003e\n\na) \\(g(-2)\\) = \u003cspan class=\"ww-blank\" name=\"AnSwEr0001\"\u003e \u003c/span\u003e\u003cbr\u003e\u003cbr\u003e\n\nb) \\(g(0)\\) = \u003cspan class=\"ww-blank\" name=\"AnSwEr0002\"\u003e \u003c/span\u003e\u003cbr\u003e\u003cbr\u003e\n\nc) \\(g(3)\\) = \u003cspan class=\"ww-blank\" name=\"AnSwEr0003\"\u003e \u003c/span\u003e\u003cbr\u003e\u003c/p\u003e","timeout":false,"header_text":null}],"numeric_tolerance":null,"partial_credit":null,"max_attempts":null,"timeout_seconds":null,"allow_practice":null,"override_show_work":null,"instructional":false,"sketchable":true,"print_num_spacing_lines":3,"print_page_break":false,"partial_scoring":null,"readonly":{"created_at":"2023-10-01T21:19:30.148Z","updated_at":"2023-10-01T21:19:30.148Z","version":21,"user_id":"58ecdcd48ccf1800120c8ac3","name":"Algorithmic 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