// Numbas version: exam_results_page_options
{"name": "Integral of a graph. Version III", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "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"}, "ungrouped_variables": ["root1", "root2", "root3", "a"], "functions": {"plotpoly": {"language": "javascript", "parameters": [["n", "number"], ["r1", "number"], ["r2", "number"], ["r3", "number"], ["a", "number"]], "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 = -10;\nvar y_max = 10;\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: false,\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: false,\nlabel: {offset: [-20, 0]},\nminorTicks: 0\n});\n\n\n // PUT YOUR FUNCTION HERE\n\nb=(r1+r2+r3)/3;\nc=(r1*r2+r1*r3+r2*r3)/2;\nd=(r1*r2*r3);\n\ne2=Math.floor(Math.random()*4)-3;\ne3=Math.floor(Math.random()*4)-3;\ne4=Math.floor(Math.random()*4)-2;\ne5=Math.floor(Math.random()*4)-3;\n\nif(n==1)\n  board.create('functiongraph',[function(x){ return a*(x+r1)*(x+r2)*(x+r3);},x_min,x_max]);\nelse if (n==2)\n  board.create('functiongraph',[function(x){ return a*(x*x*x*x/4 + x*x*x*b + c*x*x + d*x)+e2;},x_min,x_max]);\nelse if (n==3)\n  board.create('functiongraph',[function(x){ return -a*(x*x*x*x/4 + x*x*x*b + c*x*x + d*x)+e3;},x_min,x_max]);\nelse if (n==4)\n    board.create('functiongraph',[function(x){ return a*(x*x*x*x/4 + x*x*x*(b-1) + c*x*x + d*x)+e4;},x_min,x_max]);\nelse if (n==5)\n    board.create('functiongraph',[function(x){ return -a*(x*x*x*x/4 + x*x*x*b + (c-1)*x*x + d*x)+e5;},x_min,x_max]);\n\nreturn div;", "type": "html"}}, "extensions": ["jsxgraph"], "variablesTest": {"condition": "", "maxRuns": 100}, "type": "question", "statement": "", "preamble": {"js": "", "css": ""}, "tags": [], "parts": [{"customMarkingAlgorithm": "", "choices": ["<p>{plotpoly(2,{root1},{root2},{root3},{a})}</p>", "<p>{plotpoly(3,{root1},{root2},{root3},{a})}</p>", "<p>{plotpoly(4,{root1},{root2},{root3},{a})}</p>", "<p>{plotpoly(5,{root1},{root2},{root3},{a})}</p>"], "maxMarks": "2", "scripts": {}, "prompt": "<p>Here is a graph of $\\frac{\\text{d}f}{\\text{d}x}$.</p>\n<p>{plotpoly(1,{root1},{root2},{root3},{a})}</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>", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "type": "1_n_2", "shuffleChoices": true, "showFeedbackIcon": true, "marks": 0, "displayType": "radiogroup", "matrix": ["2", "0", 0, 0], "displayColumns": 0, "unitTests": [], "distractors": ["", "", "", ""], "minMarks": 0, "variableReplacements": []}], "rulesets": {}, "variables": {"root1": {"templateType": "anything", "definition": "random(2..3)", "description": "", "group": "Ungrouped variables", "name": "root1"}, "root2": {"templateType": "anything", "definition": "root1 - random(1..2)", "description": "", "group": "Ungrouped variables", "name": "root2"}, "root3": {"templateType": "anything", "definition": "root2-random(1..3)", "description": "", "group": "Ungrouped variables", "name": "root3"}, "a": {"templateType": "anything", "definition": "random(1,-1)", "description": "", "group": "Ungrouped variables", "name": "a"}}, "advice": "", "name": "Integral of a graph. Version III", "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/"}]}