// Numbas version: exam_results_page_options
{"name": "2.1.2.3 Evaluate a function version 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "2.1.2.3 Evaluate a function version 2", "tags": [], "metadata": {"description": "<p>Give f(x)=ax^2+b a simple function input (like 6x-3) and evaluate. Constants and variables, and the function input are all randomised.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Given the function $\\var{fe}(\\var{ve})=\\var{fn}$ find $\\var{fe}(\\var{vale})$</p>", "advice": "<p>Given $\\var{fe}(\\var{ve})=\\var{fn}$</p>\n<p>$\\displaystyle{\\var{fe}(\\var{vale})= \\var{c[0]}(\\var{vale})^2\\var{latex(sgn)}\\var{abs(c[1])}=\\var{ans}}$</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"f": {"name": "f", "group": "Ungrouped variables", "definition": "random(\"f\",\"g\",\"h\")", "description": "", "templateType": "anything", "can_override": false}, "fe": {"name": "fe", "group": "Ungrouped variables", "definition": "expression(f)", "description": "", "templateType": "anything", "can_override": false}, "v": {"name": "v", "group": "Ungrouped variables", "definition": "random(\"t\",\"p\",\"y\",\"z\",\"w\")", "description": "", "templateType": "anything", "can_override": false}, "ve": {"name": "ve", "group": "Ungrouped variables", "definition": "expression(v)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "repeat(  random(-9..9 except [-1,0,1]),5)", "description": "", "templateType": "anything", "can_override": false}, "sgn": {"name": "sgn", "group": "Ungrouped variables", "definition": "if(c[1]>0,\"+\",\"-\")", "description": "", "templateType": "anything", "can_override": false}, "fn": {"name": "fn", "group": "Ungrouped variables", "definition": "simplify(expression(\n    c[0]+\"*\"+v+\"^2+\"+c[1]\n    ),[\"basic\",\"unitFactor\"])", "description": "<p>the function</p>", "templateType": "anything", "can_override": false}, "val": {"name": "val", "group": "Ungrouped variables", "definition": "[\"x\",\n  c[2]+\"x\",\n  \"-x\",\n  c[3]+\"x+\"+c[4],\n  c[3]+v+\"+\"+c[4],\n  \"m\",\n  v+\"-n\",\n  v+\"/a\"\n  ][idx]", "description": "<p>The value to feed into the function.</p>", "templateType": "anything", "can_override": false}, "idx": {"name": "idx", "group": "Ungrouped variables", "definition": "random(0..7)", "description": "", "templateType": "anything", "can_override": false}, "ans": {"name": "ans", "group": "Ungrouped variables", "definition": "simplify(expression(\n    c[0]+\"*(\"+val+\")*(\"+val+\")+\"+c[1]\n    ),[\"expandBrackets\",\"all\",\"!noLeadingMinus\"])", "description": "", "templateType": "anything", "can_override": false}, "vale": {"name": "vale", "group": "Ungrouped variables", "definition": "simplify(expression(val),\"basic\")", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["f", "fe", "v", "ve", "c", "sgn", "fn", "idx", "val", "vale", "ans"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ans}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": []}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}]}]}], "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}]}