// Numbas version: exam_results_page_options
{"name": "Intervals - graphing [a,b]", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "variable_groups": [], "preamble": {"css": "", "js": ""}, "statement": "<p>Which of the following best represents the interval $[\\var{a},\\var{b}]$?</p>", "name": "Intervals - graphing [a,b]", "tags": [], "functions": {"closedopen": {"language": "javascript", "parameters": [], "definition": "var div = Numbas.extensions.jsxgraph.makeBoard('600px','100px',{boundingBox:[0.5,1,12.5,-1],grid:false,axis:false});\nvar board = div.board;\n\n//reordring layers\nJXG.Options.layer['circle'] = 7;\nJXG.Options.layer['line'] = 6;\n\n// create the x-axis.\nvar xaxis = board.create('line',[[0,0],[1,0]], { strokeColor: 'black', fixed: true});\nvar xticks = board.create('ticks',[xaxis,1],{\n  drawLabels: true,\n  label: {offset: [-4, -10]},\n  minorTicks: 0,\n  fixed:true\n});\n\n\na = Numbas.jme.unwrapValue(scope.variables.a);\nb = Numbas.jme.unwrapValue(scope.variables.b);\n\n\n//board.create('point',[x0,y0],{fixed:true});\n//board.create('point',[x1,y1],{fixed:true});\nboard.create('line',[[a+0.2,0],[b-0.2,0]],{strokeColor:'#00ff00',strokeWidth:2,fixed:true,straightFirst:false, straightLast:false,highlightStrokeColor:'#00ff00'});\nboard.createElement('circle',[[a,0],[a+0.2,0]], {strokeColor:'#00ff00',strokeWidth:2, fillColor:'#00ff00',fillOpacity:2,fixed:true,highlightStrokeColor:'#00ff00',highlightfillcolor:'#00ff00'});\nboard.createElement('circle',[[b,0],[b+0.2,0]], {strokeColor:'#00ff00',strokeWidth:2, fixed:true,highlightStrokeColor:'#00ff00'});\n\n\nreturn div;", "type": "html"}, "open": {"language": "javascript", "parameters": [], "definition": "var div = Numbas.extensions.jsxgraph.makeBoard('600px','100px',{boundingBox:[0.5,1,12.5,-1],grid:false,axis:false});\nvar board = div.board;\n\n\n//reordring layers\nJXG.Options.layer['circle'] = 7;\nJXG.Options.layer['line'] = 6;\n\n// create the x-axis.\nvar xaxis = board.create('line',[[0,0],[1,0]], { strokeColor: 'black', fixed: true});\nvar xticks = board.create('ticks',[xaxis,1],{\n  drawLabels: true,\n  label: {offset: [-4, -10]},\n  minorTicks: 0,\n  fixed:true\n});\n\n\na = Numbas.jme.unwrapValue(scope.variables.a);\nb = Numbas.jme.unwrapValue(scope.variables.b);\n\n\n//board.create('point',[x0,y0],{fixed:true});\n//board.create('point',[x1,y1],{fixed:true});\nboard.create('line',[[a+0.2,0],[b-0.2,0]],{strokeColor:'#00ff00',strokeWidth:2,fixed:true,straightFirst:false, straightLast:false,highlightStrokeColor:'#00ff00'});\nboard.createElement('circle',[[a,0],[a+0.2,0]], {strokeColor:'#00ff00',strokeWidth:2, fixed:true,highlightStrokeColor:'#00ff00'});\nboard.createElement('circle',[[b,0],[b+0.2,0]], {strokeColor:'#00ff00',strokeWidth:2, fixed:true,highlightStrokeColor:'#00ff00'});\n\n\nreturn div;", "type": "html"}, "closed": {"language": "javascript", "parameters": [], "definition": "var div = Numbas.extensions.jsxgraph.makeBoard('600px','100px',{boundingBox:[0.5,1,12.5,-1],grid:false,axis:false});\nvar board = div.board;\n\n//reordring layers\nJXG.Options.layer['circle'] = 7;\nJXG.Options.layer['line'] = 6;\n\n// create the x-axis.\nvar xaxis = board.create('line',[[0,0],[1,0]], { strokeColor: 'black', fixed: true});\nvar xticks = board.create('ticks',[xaxis,1],{\n  drawLabels: true,\n  label: {offset: [-4, -10]},\n  minorTicks: 0,\n  fixed:true\n});\n\n\na = Numbas.jme.unwrapValue(scope.variables.a);\nb = Numbas.jme.unwrapValue(scope.variables.b);\n\n\n//board.create('point',[x0,y0],{fixed:true});\n//board.create('point',[x1,y1],{fixed:true});\nboard.create('line',[[a+0.2,0],[b-0.2,0]],{strokeColor:'#00ff00',strokeWidth:2,fixed:true,straightFirst:false, straightLast:false,highlightStrokeColor:'#00ff00'});\nboard.createElement('circle',[[a,0],[a+0.2,0]], {strokeColor:'#00ff00',strokeWidth:2, fillColor:'#00ff00',fillOpacity:2,fixed:true,highlightStrokeColor:'#00ff00',highlightfillcolor:'#00ff00'});\nboard.createElement('circle',[[b,0],[b+0.2,0]], {strokeColor:'#00ff00',strokeWidth:2, fillColor:'#00ff00',fillOpacity:2,fixed:true,highlightStrokeColor:'#00ff00',highlightfillcolor:'#00ff00'});\n\n\nreturn div;", "type": "html"}, "openclosed": {"language": "javascript", "parameters": [], "definition": "var div = Numbas.extensions.jsxgraph.makeBoard('600px','100px',{boundingBox:[0.5,1,12.5,-1],grid:false,axis:false});\nvar board = div.board;\n\n//reordring layers\nJXG.Options.layer['circle'] = 7;\nJXG.Options.layer['line'] = 6;\n\n// create the x-axis.\nvar xaxis = board.create('line',[[0,0],[1,0]], { strokeColor: 'black', fixed: true});\nvar xticks = board.create('ticks',[xaxis,1],{\n  drawLabels: true,\n  label: {offset: [-4, -10]},\n  minorTicks: 0,\n  fixed:true\n});\n\n\na = Numbas.jme.unwrapValue(scope.variables.a);\nb = Numbas.jme.unwrapValue(scope.variables.b);\n\n\n//board.create('point',[x0,y0],{fixed:true});\n//board.create('point',[x1,y1],{fixed:true});\nboard.create('line',[[a+0.2,0],[b-0.2,0]],{strokeColor:'#00ff00',strokeWidth:2,fixed:true,straightFirst:false, straightLast:false,highlightStrokeColor:'#00ff00'});\nboard.createElement('circle',[[a,0],[a+0.2,0]], {strokeColor:'#00ff00',strokeWidth:2, fixed:true,highlightStrokeColor:'#00ff00'});\nboard.createElement('circle',[[b,0],[b+0.2,0]], {strokeColor:'#00ff00',strokeWidth:2, fillColor:'#00ff00',fillOpacity:2,fixed:true,highlightStrokeColor:'#00ff00',highlightfillcolor:'#00ff00'});\n\n\nreturn div;", "type": "html"}}, "variablesTest": {"maxRuns": 100, "condition": ""}, "extensions": ["jsxgraph"], "advice": "<p>The&nbsp;closed (square) brackets in $[\\var{a},\\var{b}]$ signify that those endpoints are <strong>included</strong> in the interval (as well as all real numbers between them). This is known as&nbsp;the&nbsp;<strong>closed interval</strong> $[\\var{a},\\var{b}]$.</p>\n<p></p>\n<p>When we graph the interval, endpoints that are not included are represented by circles that are not filled in, whereas, endpoints that are included are represented by circles that are filled in.</p>", "ungrouped_variables": ["a", "b", "delta"], "variables": {"delta": {"templateType": "anything", "name": "delta", "description": "<p>delta</p>", "definition": "random(2..5)", "group": "Ungrouped variables"}, "b": {"templateType": "anything", "name": "b", "description": "", "definition": "a+delta", "group": "Ungrouped variables"}, "a": {"templateType": "anything", "name": "a", "description": "", "definition": "random(2..7)", "group": "Ungrouped variables"}}, "parts": [{"showFeedbackIcon": true, "type": "1_n_2", "scripts": {}, "minMarks": 0, "distractors": ["", "", "", ""], "marks": 0, "choices": ["<p>{open()}</p>", "<p>{closed()}</p>", "<p>{openclosed()}</p>", "<p>{closedopen()}</p>"], "showCorrectAnswer": true, "shuffleChoices": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "maxMarks": 0, "matrix": ["0", "1", 0, 0], "displayColumns": "1", "displayType": "radiogroup"}], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Simple questions on interval notation.&nbsp;If you are not randomising the order of your questions please turn on randomise choices in these questions.</p>"}, "type": "question", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}