// Numbas version: exam_results_page_options {"name": "Jasmine's copy of Integration: Integral of a graph. Version IV", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"maxRuns": 100, "condition": ""}, "tags": [], "variables": {"n": {"definition": "random(0..3)", "templateType": "anything", "name": "n", "description": "", "group": "Ungrouped variables"}, "answer": {"definition": "mod((n+1),4)", "templateType": "anything", "name": "answer", "description": "", "group": "Ungrouped variables"}}, "name": "Jasmine's copy of Integration: Integral of a graph. Version IV", "extensions": ["jsxgraph"], "advice": "", "functions": {"plot": {"type": "html", "parameters": [["n", "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 = -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"}}, "statement": "", "ungrouped_variables": ["n", "answer"], "variable_groups": [], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "

A graph is drawn. A student is to identify the derivative of this graph from four other graphs.

\n

\n

Version II. Graph is horizontal

\n

Version III. Graph is cubic

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Version IV. Graph is sinusoidal

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{plot({n+1})}

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{plot({n})}

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{plot({n+2})}

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{plot({n+3})}

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Here is the graph of \$f'\$.

\n

{plot({n})}

\n

Which of the graphs below could be the graph of \$f\$?

\n

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