// Numbas version: finer_feedback_settings
{"name": "Zero of a function", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Zero of a function", "tags": [], "metadata": {"description": "<p>Finding the zero of a non-polynomial function</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Find where a general function crosses the x-axis.</p>", "advice": "<p>In Matlab, the solution should look something like:</p>\n<pre style=\"font-size: small;\">f = @(x) {b}*log(x) - {siground(clna,3)}*x^2 + {c}*x^2*log(x) - {siground(blna,3)};<br/>fplot(f,[0,10]); <span style=\"color: green;\">% let's have a look at the function</span><br/>fzero(f,10)</pre>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(3..19)/2", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(2..9)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(2..9)", "description": "", "templateType": "anything", "can_override": false}, "blna": {"name": "blna", "group": "Ungrouped variables", "definition": "b*ln(a)", "description": "", "templateType": "anything", "can_override": false}, "clna": {"name": "clna", "group": "Ungrouped variables", "definition": "c*ln(a)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "c", "blna", "clna"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Non-polynomial Zero", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Find where the following function crosses the x-axis:</p>\n<p>$f(x)=\\var{b}\\ln(x)-\\var{siground(clna,3)}x^2+\\var{c}x^2\\ln(x)-\\var{siground(blna,3)}$</p>\n<p>The zero is at $x=$&nbsp;[[0]].</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "a", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "a", "maxValue": "a", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Francis Franklin", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1887/"}], "resources": []}]}], "contributors": [{"name": "Francis Franklin", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1887/"}]}