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", "maxAnswers": 0}], "name": "Sketching graphs: which graphs are exponentials", "functions": {"plot": {"type": "html", "definition": "// Max and min x and y values for the axis.\nvar x_min = -10;\nvar x_max = 10;\nvar y_min = -15;\nvar y_max = 15;\n\n\n// First, make the JSXGraph board.\nvar div = Numbas.extensions.jsxgraph.makeBoard(\n '300px',\n '300px',\n {\n boundingBox: [x_min,y_max,x_max,y_min],\n axis: false,\n showNavigation: false,\n grid: false,\n axis:false,\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 and y-axis\nvar xaxis = board.create('line',[[0,0],[1,0]], { strokeColor: 'black', fixed: true});\n//var 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 });\n\n\n\n\n// Plot the function.\n\n\n//Define function depending on value of n.\nswitch(n) {\n case 0:\n var f = function(x) {return Math.pow(2,b*x)*a+c; }\n break;\n \n case 1:\n var f = function(x) {return Math.log(x+a); }\n break;\n \n case 2:\n var f = function(x) {return a*x+b;}\n break;\n \n case 3:\n var f = function(x) {return a*(x-b)*(x-b)*(x-b)-a*c*(x-b)+b}\n break;\n \n case 4:\n var f = function(x) {return a*(x-b)*(x-b)-c*(x-b);}\n break;\n \n}\n\n board.create('functiongraph', [f], {strokeWidth:3,strokeColor:'black'});\n\nreturn div;\n\n\n\n// Plot coordinates.\n// board.create('circle',[[x0,y0],0.1],{color:'red'});\n// board.create('text',[x0,y0+0.3,'A']);\n// board.create('circle',[[x1,y1],0.1],{color:'red'});\n// board.create('text',[x1,y1+0.3,'B']);\n// board.create('circle',[[x2,y2],0.1],{color:'red'});\n// board.create('text',[x2,y2+0.3,'C']);\n\nreturn div;", "parameters": [["n", "number"], ["a", "number"], ["b", "number"], ["c", "number"]], "language": "javascript"}}, "tags": [], "rulesets": {}, "statement": "This is a non-calculator question.
", "extensions": ["jsxgraph"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "Several graphs are drawn. Student should select those that are cubics
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