// Numbas version: exam_results_page_options
{"name": "Integration: Integral of a graph. Version IV", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"description": "<p>A graph is drawn. A student is to identify the derivative of this graph from four other graphs.</p>\n<p>Version I. Graph is&nbsp;quadratic</p>\n<p>Version II. Graph is&nbsp;horizontal</p>\n<p>Version III. Graph is&nbsp;cubic</p>\n<p>Version IV. Graph is sinusoidal</p>", "licence": "Creative Commons Attribution 4.0 International"}, "tags": [], "parts": [{"prompt": "<p>Here is the graph of $f'$.</p>\n<p>{plot({n})}</p>\n<p>Which of the graphs below could be the graph of $f$?</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>", "matrix": ["0", "0", 0, "2"], "marks": 0, "type": "1_n_2", "scripts": {}, "variableReplacementStrategy": "originalfirst", "displayColumns": 0, "unitTests": [], "displayType": "radiogroup", "minMarks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "choices": ["<p>{plot({n+1})}</p>", "<p>{plot({n})}</p>", "<p>{plot({n+2})}</p>", "<p>{plot({n+3})}</p>"], "maxMarks": "2", "variableReplacements": [], "distractors": ["", "", "", ""], "shuffleChoices": true, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true}], "statement": "", "functions": {"plot": {"definition": "// This function creates the board and sets it up, then returns an\n// HTML div tag containing the board.\n\n//Put in your values of x here\n\nvar x_min = -4;\nvar x_max = 4;\nvar y_min = -1.3;\nvar y_max = 1.3;\n\nn=n%4;\n\n// First, make the JSXGraph board.\n// The function provided by the JSXGraph extension wraps the board up in \n// a div tag so that it's easier to embed in the page.\nvar div = Numbas.extensions.jsxgraph.makeBoard('400px','400px',\n//{boundingBox: [-8,10,8,-10],\n {boundingBox: [x_min,y_max,x_max,y_min],                                           \n axis: false,\n showNavigation: false,\n grid: true\n});\n\n\n\n\n// div.board is the object created by JSXGraph, which you use to \n// manipulate elements\nvar board = div.board; \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});\n\n// create the y-axis\nvar yaxis = board.create('line',[[0,0],[0,1]], { strokeColor: 'black', fixed: true });\nvar yticks = board.create('ticks',[yaxis,1],{\ndrawLabels: true,\nlabel: {offset: [-20, 0]},\nminorTicks: 0\n});\n\n\n // PUT YOUR FUNCTION HERE\n\n\n\nif(n==1)\n  board.create('functiongraph',[function(x){ return Math.cos(x);},x_min,x_max]);\nelse if (n==2)\n  board.create('functiongraph',[function(x){ return -Math.sin(x);},x_min,x_max]);\nelse if (n==3)\n  board.create('functiongraph',[function(x){ return -Math.cos(x);},x_min,x_max]);\nelse if (n==0)\n    board.create('functiongraph',[function(x){ return Math.sin(x);},x_min,x_max]);\n\nreturn div;", "language": "javascript", "type": "html", "parameters": [["n", "number"]]}}, "variables": {"n": {"group": "Ungrouped variables", "definition": "random(0..3)", "name": "n", "description": "", "templateType": "anything"}, "answer": {"group": "Ungrouped variables", "definition": "mod((n+1),4)", "name": "answer", "description": "", "templateType": "anything"}}, "name": "Integration: Integral of a graph. Version IV", "advice": "", "variable_groups": [], "extensions": ["jsxgraph"], "rulesets": {}, "preamble": {"css": "", "js": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["n", "answer"], "type": "question", "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}, {"name": "Jasmine Zhang", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2550/"}, {"name": "Stephen Face", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2553/"}]}]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}, {"name": "Jasmine Zhang", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2550/"}, {"name": "Stephen Face", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2553/"}]}