// Numbas version: exam_results_page_options
{"name": "Integral of a graph. Version II", "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"}, "type": "question", "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "extensions": ["jsxgraph"], "functions": {"plot": {"type": "html", "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 = -6;\nvar y_max = 6;\n\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\nm3 = m+Math.floor(Math.random()*2)*2-1; //Same as random(-1..1#2)\nm4 = m+Math.floor(Math.random()*2)*4-2; //Same as random(-2..2#4)\nm5 = m+Math.floor(Math.random()*2)*6-3; //Same as random(-3..3#6)\n\nc2 = Math.floor(Math.random()*6)-3; //Same as random(-3..2)\nc3 = Math.floor(Math.random()*6)-3; //Same as random(-3..2)\nc4 = Math.floor(Math.random()*6)-3; //Same as random(-3..2)\nc5 = Math.floor(Math.random()*6)-3; //Same as random(-3..2)\n\nif(n==1)\n  board.create('functiongraph',[function(x){ return m;},x_min,x_max]);\nelse if (n==2)\n  board.create('functiongraph',[function(x){ return m*x+c2;},x_min,x_max]);\nelse if (n==3)\n  board.create('functiongraph',[function(x){ return m3*x+c3;},x_min,x_max]);\nelse if (n==4)\n    board.create('functiongraph',[function(x){ return m4*x+c4;},x_min,x_max]);\nelse if (n==5)\n    board.create('functiongraph',[function(x){ return m5*x+c5;},x_min,x_max]);\n\nreturn div;", "language": "javascript", "parameters": [["n", "number"], ["m", "number"], ["c", "number"]]}}, "ungrouped_variables": ["m", "c"], "name": "Integral of a graph. Version II", "tags": [], "variablesTest": {"condition": "", "maxRuns": 100}, "variable_groups": [], "variables": {"m": {"name": "m", "definition": "random(-3..3 except 0)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "c": {"name": "c", "definition": "random(-2..2#0.5)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}}, "statement": "", "parts": [{"showFeedbackIcon": true, "type": "1_n_2", "customMarkingAlgorithm": "", "maxMarks": "2", "variableReplacementStrategy": "originalfirst", "marks": 0, "unitTests": [], "displayColumns": 0, "minMarks": 0, "distractors": ["", "", "", ""], "shuffleChoices": true, "scripts": {}, "variableReplacements": [], "displayType": "radiogroup", "choices": ["<p>{plot(2,{m},{c})}</p>", "<p>{plot(3,{m},{c})}</p>", "<p>{plot(4,{m},{c})}</p>", "<p>{plot(5,{m},{c})}</p>"], "showCorrectAnswer": true, "prompt": "<p>Here is the graph of $f'$.</p>\n<p>{plot(1,{m},{c})}</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": ["2", "0", 0, 0], "extendBaseMarkingAlgorithm": true}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}