// Numbas version: exam_results_page_options
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Part of HELM Book 2.2.1.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Plot a graph of $\\var{function},\\quad \\var{DomainMin} \\leq x \\leq \\var{DomainMax}$.</p>\n<p>State the domain and range of the function.</p>", "advice": "<p style=\"text-align: center;\">&nbsp;$\\var{function}, \\qquad \\var{domainMin} \\leq x \\leq&nbsp; \\var{domainMax}$</p>\n<p style=\"text-align: center;\">{diagram}</p>\n<p>Domain = $[\\var{domainMin},\\var{domainMax}]$</p>\n<p>Range = $[\\var{rangeMin},\\var{rangeMax}]$</p>\n<p></p>", "rulesets": {}, "extensions": ["jsxgraph"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"domainMin": {"name": "domainMin", "group": "Ungrouped variables", "definition": "random(-5..3)", "description": "", "templateType": "anything", "can_override": false}, "domainMax": {"name": "domainMax", "group": "Ungrouped variables", "definition": "random(domainMin+1..5)", "description": "", "templateType": "anything", "can_override": false}, "idx": {"name": "idx", "group": "Ungrouped variables", "definition": "random(0..3)", "description": "", "templateType": "anything", "can_override": false}, "function": {"name": "function", "group": "Ungrouped variables", "definition": "simplify(expression([string(v2)+\"*\"+ letter + \"+\"+ string(v1),\n  letter + \"^2+\"+string(v1),\n  string(v2)+\"*\"+letter+\"^2+\"+string(v1),\n  string(v1)+\"-\"+letter+\"^2\"\n  ][idx]),\"all\")", "description": "", "templateType": "anything", "can_override": false}, "letter": {"name": "letter", "group": "Ungrouped variables", "definition": "random(\"a\",\"b\",\"c\",\"p\",\"t\",\"x\")", "description": "", "templateType": "anything", "can_override": false}, "range_LH": {"name": "range_LH", "group": "Ungrouped variables", "definition": "eval(function,\u00a0[\"a\":domainMin,\"b\":domainMin,\"c\":domainMin,\"p\":domainMin,\"t\":domainMin,\"x\":domainMin])", "description": "", "templateType": "anything", "can_override": false}, "range_RH": {"name": "range_RH", "group": "Ungrouped variables", "definition": "eval(function,\u00a0[\"a\":domainMax,\"b\":domainMax,\"c\":domainMax,\"p\":domainMax,\"t\":domainMax,\"x\":domainMax])", "description": "", "templateType": "anything", "can_override": false}, "rangeMin": {"name": "rangeMin", "group": "Ungrouped variables", "definition": "min([range_LH,range_RH,valat0])", "description": "", "templateType": "anything", "can_override": false}, "rangeMax": {"name": "rangeMax", "group": "Ungrouped variables", "definition": "max([range_LH,range_RH,valat0])", "description": "", "templateType": "anything", "can_override": false}, "diagram": {"name": "diagram", "group": "Ungrouped variables", "definition": "jsxgraph(\n  500,500,\n  [graphxmin, graphymax, graphxmax,graphymin],\n  [\n    \"f\":['functiongraph',[function]]\n  ]\n)  ", "description": "", "templateType": "anything", "can_override": false}, "v1": {"name": "v1", "group": "Ungrouped variables", "definition": "random(-10..10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "v2": {"name": "v2", "group": "Ungrouped variables", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "graphxMin": {"name": "graphxMin", "group": "Ungrouped variables", "definition": "min(0,domainMin)-1", "description": "", "templateType": "anything", "can_override": false}, "graphyMin": {"name": "graphyMin", "group": "Ungrouped variables", "definition": "min(0,rangeMin)-1", "description": "", "templateType": "anything", "can_override": false}, "graphxmax": {"name": "graphxmax", "group": "Ungrouped variables", "definition": "max(0,domainMax)+1", "description": "", "templateType": "anything", "can_override": false}, "graphymax": {"name": "graphymax", "group": "Ungrouped variables", "definition": "max(0,rangeMax)+1", "description": "", "templateType": "anything", "can_override": false}, "ValAt0": {"name": "ValAt0", "group": "Ungrouped variables", "definition": "if(0>domainMin and 0<domainMax,\neval(function,\u00a0[\"a\":0,\"b\":0,\"c\":0,\"p\":0,\"t\":0,\"x\":0]),\n  range_LH)", "description": "<p>If 0 is in the domain, then this (turning point) is a candidate for the min/max value. If 0 is outside the domain, just set this variable to the range_LH value, so it is ignored.</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["v1", "v2", "domainMin", "domainMax", "idx", "letter", "function", "range_LH", "range_RH", "ValAt0", "rangeMin", "rangeMax", "graphxMin", "graphyMin", "graphxmax", "graphymax", "diagram"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Domain = [ [[0]] , [[1]] ] and Range = [ [[3]], [[2]] ]</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Domain Min", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "DomainMin", "maxValue": "DomainMin", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Domain Max", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "DomainMax", "maxValue": "DomainMax", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Range Max", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "RangeMax", "maxValue": "RangeMax", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Range Min", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "RangeMin", "maxValue": "RangeMin", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "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/"}]}