// Numbas version: finer_feedback_settings
{"name": "Sid's copy of Oracle function estimation", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "variable_groups": [], "parts": [{"type": "gapfill", "scripts": {}, "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionPartialCredit": 0, "precision": "1", "strictPrecision": true, "maxValue": "df+0.5", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "marks": 1, "type": "numberentry", "allowFractions": false, "scripts": {}, "variableReplacementStrategy": "originalfirst", "precisionMessage": "You have not given your answer to the correct precision.", "precisionType": "dp", "correctAnswerStyle": "plain", "minValue": "df-0.5", "correctAnswerFraction": false, "variableReplacements": []}, {"precisionPartialCredit": 0, "precision": "1", "strictPrecision": true, "maxValue": "ddf+0.5", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "marks": 1, "type": "numberentry", "allowFractions": false, "scripts": {}, "variableReplacementStrategy": "originalfirst", "precisionMessage": "You have not given your answer to the correct precision.", "precisionType": "dp", "correctAnswerStyle": "plain", "minValue": "ddf-0.5", "correctAnswerFraction": false, "variableReplacements": []}], "showCorrectAnswer": true, "marks": 0, "prompt": "<p>Estimate&nbsp;$f'\\!(\\var{x_0})$ to one decimal place: [[0]]</p>\n<p>Estimate $f''\\!(\\var{x_0})$ to one decimal place: [[1]]</p>\n<p></p>", "variableReplacements": []}, {"type": "gapfill", "scripts": {}, "variableReplacementStrategy": "originalfirst", "gaps": [{"integerAnswer": true, "maxValue": "a", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "type": "numberentry", "integerPartialCredit": 0, "allowFractions": false, "variableReplacementStrategy": "originalfirst", "scripts": {}, "correctAnswerStyle": "plain", "minValue": "a", "correctAnswerFraction": false, "variableReplacements": []}, {"integerAnswer": true, "maxValue": "b", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "type": "numberentry", "integerPartialCredit": 0, "allowFractions": false, "variableReplacementStrategy": "originalfirst", "scripts": {}, "correctAnswerStyle": "plain", "minValue": "b", "correctAnswerFraction": false, "variableReplacements": []}, {"integerAnswer": true, "maxValue": "c", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "type": "numberentry", "integerPartialCredit": 0, "allowFractions": false, "variableReplacementStrategy": "originalfirst", "scripts": {}, "correctAnswerStyle": "plain", "minValue": "c", "correctAnswerFraction": false, "variableReplacements": []}, {"integerAnswer": true, "maxValue": "d", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "type": "numberentry", "integerPartialCredit": 0, "allowFractions": false, "variableReplacementStrategy": "originalfirst", "scripts": {}, "correctAnswerStyle": "plain", "minValue": "d", "correctAnswerFraction": false, "variableReplacements": []}], "showCorrectAnswer": true, "marks": 0, "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>", "variableReplacements": []}], "tags": [], "preamble": {"css": "", "js": ""}, "ungrouped_variables": ["a", "b", "defs", "c", "d", "x_0", "df", "ddf"], "functions": {}, "variables": {"df": {"group": "Ungrouped variables", "name": "df", "definition": "3*a*x_0^2+2*b*x_0+c", "templateType": "anything", "description": ""}, "d": {"group": "Ungrouped variables", "name": "d", "definition": "random(-3..3)", "templateType": "anything", "description": ""}, "a": {"group": "Ungrouped variables", "name": "a", "definition": "random(-3..3 except 0)", "templateType": "anything", "description": ""}, "defs": {"group": "Ungrouped variables", "name": "defs", "definition": "[\n  ['a',a],\n  ['b',b],\n  ['c',c],\n  ['d',d]\n]", "templateType": "anything", "description": ""}, "b": {"group": "Ungrouped variables", "name": "b", "definition": "random(-3..3)", "templateType": "anything", "description": ""}, "c": {"group": "Ungrouped variables", "name": "c", "definition": "random(-3..3#1)", "templateType": "randrange", "description": ""}, "ddf": {"group": "Ungrouped variables", "name": "ddf", "definition": "6*a*x_0+2*b", "templateType": "anything", "description": ""}, "x_0": {"group": "Ungrouped variables", "name": "x_0", "definition": "random(-50 .. 50 except 0)/10", "templateType": "anything", "description": ""}}, "extensions": ["geogebra"], "name": "Sid's copy of Oracle function estimation", "variablesTest": {"maxRuns": 100, "condition": ""}, "advice": "", "statement": "<p>I am thinking of a function, but I will not tell you what it is!&nbsp;But:</p>\n<ol>\n<li>It is at least twice-differentiable.</li>\n<li>I will tell you the value of the function anywhere you ask, to three decimal places. You can use the box&nbsp;below to inquire of me. (You may need to wait a little for it to load.)</li>\n</ol>\n<p>{geogebra_applet('ufgKrAzb',defs)}</p>", "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "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>"}, "type": "question", "contributors": [{"name": "Sid Fox", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1467/"}]}]}], "contributors": [{"name": "Sid Fox", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1467/"}]}