// Numbas version: exam_results_page_options
{"name": "Oracle function estimation", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "statement": "<p><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Estoy pensando en una funci&oacute;n, &iexcl;pero no te dir&eacute; lo que es! </span><span style=\"vertical-align: inherit;\">Pero:</span></span></p>\n<ol>\n<li><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Es al menos dos veces diferenciable.</span></span></li>\n<li></li>\n</ol>\n<p></p>", "parts": [{"scripts": {}, "marks": 0, "showCorrectAnswer": true, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "type": "gapfill", "unitTests": [], "gaps": [{"scripts": {}, "maxValue": "a", "marks": 1, "showCorrectAnswer": true, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "correctAnswerFraction": false, "mustBeReduced": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "minValue": "a", "allowFractions": false, "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0}, {"scripts": {}, "maxValue": "b", "marks": 1, "showCorrectAnswer": true, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "correctAnswerFraction": false, "mustBeReduced": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "minValue": "b", "allowFractions": false, "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0}, {"scripts": {}, "maxValue": "c", "marks": 1, "showCorrectAnswer": true, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "correctAnswerFraction": false, "mustBeReduced": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "minValue": "c", "allowFractions": false, "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0}, {"scripts": {}, "maxValue": "d", "marks": 1, "showCorrectAnswer": true, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "correctAnswerFraction": false, "mustBeReduced": false, "type": "numberentry", "correctAnswerStyle": "plain", "unitTests": [], "minValue": "d", "allowFractions": false, "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0}], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "prompt": "<p>Suppose I reveal that the function is a cubic, so that $f(x) = a x^3 + b x^2 + c x + d$. I will also tell you that $\\{a,b,c,d\\} \\subset \\mathbb{Z}$. Calculate&nbsp;the parameters $a$ to $d$.</p>\n<p>$a = $ [[0]]</p>\n<p>$b = $ [[1]]</p>\n<p>$c = $ [[2]]</p>\n<p>$d = $ [[3]]</p>"}], "rulesets": {}, "advice": "", "variables": {"d": {"templateType": "anything", "name": "d", "description": "", "group": "Ungrouped variables", "definition": "random(-3..3)"}, "x_0": {"templateType": "anything", "name": "x_0", "description": "", "group": "Ungrouped variables", "definition": "random(-50 .. 50 except 0)/10"}, "c": {"templateType": "randrange", "name": "c", "description": "", "group": "Ungrouped variables", "definition": "random(-3..3#1)"}, "b": {"templateType": "anything", "name": "b", "description": "", "group": "Ungrouped variables", "definition": "random(-3..3)"}, "df": {"templateType": "anything", "name": "df", "description": "", "group": "Ungrouped variables", "definition": "3*a*x_0^2+2*b*x_0+c"}, "defs": {"templateType": "anything", "name": "defs", "description": "", "group": "Ungrouped variables", "definition": "[\n  ['a',a],\n  ['b',b],\n  ['c',c],\n  ['d',d]\n]"}, "ddf": {"templateType": "anything", "name": "ddf", "description": "", "group": "Ungrouped variables", "definition": "6*a*x_0+2*b"}, "a": {"templateType": "anything", "name": "a", "description": "", "group": "Ungrouped variables", "definition": "random(-3..3 except 0)"}}, "extensions": ["geogebra"], "functions": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "tags": [], "metadata": {"description": "<p><strong>Given</strong> an oracle function that will output its value given an input: first <strong>estimate</strong> the derivative, and second<strong> calculate</strong> its shape.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "name": "Oracle function estimation", "ungrouped_variables": ["a", "b", "defs", "c", "d", "x_0", "df", "ddf"], "preamble": {"js": "", "css": ""}, "type": "question", "contributors": [{"name": "Philip Walker", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/362/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}]}], "contributors": [{"name": "Philip Walker", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/362/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}