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render = function render(){var _vm=this,_c=_vm._self._c;return _c('div',[_c('h3',{ref:\"intro\"},[_vm._v(\"\\n      What is a Function?\\n    \")]),_vm._m(0),_c('h3',{ref:\"types\"},[_vm._v(\"\\n      Notation\\n    \")]),_vm._m(1),_c('h3',{ref:\"pg\"},[_vm._v(\"\\n      MagicGraph | Find the Function\\n    \")]),_c('br'),_c('h5',[_vm._v(\"Getting Started\")]),_vm._m(2),_c('h5',[_vm._v(\" Icons on the MagicGraph \")]),_vm._m(3),_c('br'),_c('v-responsive',[_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('div',{staticClass:\"edliy-box-about\",attrs:{\"id\":\"jxgbox1\"}})])],1)],1)\n}\nvar staticRenderFns = [function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-3\"},[_vm._v(\"\\n      A function (also called a mapping) is a mathematical rule that relates every element in one set to\\n      exactly one elment in another set. \"),_c('br'),_vm._v(\"\\n      The first set of numbers is called the domain of the function while the other set of numbers is called the range of the function.\\n      \"),_c('br'),_vm._v(\"\\n      For example, the relation described by  \\\\( y = 2x+3\\\\) is a function because for every value of \\\\(x\\\\), there is exactly one value of \\\\(y\\\\).\\n    \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-3\"},[_vm._v(\"\\n      The mathematical notation for a function is  \\\\(y = f(x)\\\\), and is read as — \\\\(y\\\\)  is equal to \\\\(f\\\\) of\\n      \\\\(x\\\\).\"),_c('br'),_vm._v(\" The letter \\\\(f\\\\) stands for the function, \\\\(x\\\\) stands for the input variable and \\\\(y\\\\) stands for the output variable.\\n    \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-3\"},[_vm._v(\"\\n      In this MagicGraph, you are given two sets of numbers: x and y. Your goal is\\n      to select the function from the graph that represents the mapping from x to y.\\n      \"),_c('br'),_vm._v(\"\\n      To select a function, tap on it. Once selected, then tap on the test button to check your answer.\\n      \"),_c('br')])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',[_vm._v(\"\\n      You can tap on \"),_c('i',{staticClass:\"shuffler ma-1\"}),_vm._v(\" icon  to shuffle numbers.\\n      You can tap on the \"),_c('i',{staticClass:\"tester ma-1\"}),_vm._v(\" icon to check your answer.\\n    \")])\n}]\n\nexport { render, staticRenderFns }","// Import the edliy_utils\r\nimport {\r\n    makeResponsive,\r\n    placeTitle,\r\n    placeImage,\r\n    placeInput,\r\n    placeSlider,\r\n    hoverMe,\r\n    placeRec,\r\n    hiddenPt,\r\n    fixedPt,\r\n    clearInputFields,\r\n    dragMe,\r\n    placeArrow,\r\n    placeGravity,\r\n    placeMiddleText,\r\n    placeLine,\r\n    placePoint,\r\n    placeGlider,\r\n    placeRuler,\r\n    placeLeftText,\r\n    placeRightText,\r\n    placeSliderSwitch,\r\n    placeCircle,\r\n    placeLogo,\r\n    placeShuffle,\r\n    placeTest,\r\n    placeUndo,\r\n    placeRedo,\r\n    placeBoldText,\r\n    placeBoldLeftText,\r\n    placeErase,\r\n    plotFunction,\r\n    createAxes,\r\n    createSpace,\r\n    drawPoint,\r\n    writeMediumText,\r\n    writeSmallText,\r\n    writeLargeText\r\n} from '../../../../common/edliy.js';\r\nconst Boxes = {\r\n  box1: function () {\r\n///////////////////////////////////GLOBAL SETTINGS//////////////////////\r\n\tJXG.Options.board.minimizeReflow = 'none';\r\n  JXG.Options.point.showInfoBox=false;\r\n  JXG.Options.point.highlight=false;\r\n  JXG.Options.image.highlight=false;\r\n  JXG.Options.text.highlight=false;\r\n  JXG.Options.text.fixed=true;\r\n  JXG.Options.curve.highlight=false;\r\n  JXG.Options.text.cssDefaultStyle='fontFamily:Oswald;'\r\n//////////////////////////////////LOCAL SETTINGS//////////////////////////////////\r\nvar graph = createSpace(-10, 10, -5, 15);\r\ngraph.options.layer['image'] =12;\r\ngraph.options.layer['circle'] =13;\r\ngraph.options.layer['chart'] =14;\r\ngraph.options.layer['sector'] =15;\r\ngraph.options.layer['line'] =15;\r\n/////////////////////////////////////////////////////////////////////\r\nmakeResponsive(graph);\r\n/////////////////////////////////////////////////////////////\r\ncreateAxes(graph);\r\nplaceTitle(graph, 'Functions & Relations');\r\nplaceLogo(graph);\r\nvar i=1; var j=0; var x ='x'; var y ='y=f(x)';\r\nvar shuffle = placeShuffle(graph);\r\nvar test =placeTest(graph);\r\nvar rght = placeImage(graph, '/assets/check.svg', -7., 8);\r\nvar wrng = placeImage(graph, '/assets/cross.svg', -7., 8);\r\nrght.setAttribute({visible:false});\r\nwrng.setAttribute({visible:false});\r\nshuffle.on('down', function(){\r\n  rght.setAttribute({visible:false});\r\n  wrng.setAttribute({visible:false});\r\n  lin.setAttribute({dash:2, strokeWidth:2});\r\n  quad.setAttribute({dash:2, strokeWidth:2});\r\n  cubc.setAttribute({dash:2, strokeWidth:2});\r\n  if(i<3){i+=1;}else{i=1}\r\n});\r\ntest.on('down', function(){\r\n  wrng.setAttribute({visible:false});\r\n  rght.setAttribute({visible:false});\r\n  if(i==j){rght.setAttribute({visible:true})}else{wrng.setAttribute({visible:true})}});\r\n\r\nvar array =[];\r\nvar domain=[x, -1, -2, 1, 2];\r\nvar linRange = [y, -1, -2, 1, 2];\r\nvar quadRange=[y, 1, 4, 1, 4];\r\nvar absRange=[y, 2, 4, 2, 4];\r\narray.push(domain);\r\narray.push(linRange);\r\narray.push(quadRange);\r\narray.push(absRange);\r\n/////////////////////////////Quadratic FUNCTION//////////////\r\nvar quad =plotFunction(graph, function(x){return x*x}, -5, 5);\r\nquad.setAttribute({strokeWidth:2, highlight:true, dash:2, strokeColor:'red'});\r\n/////////////////////////////LINEAR FUNCTION//////////////\r\nvar lin = plotFunction(graph, function(x){return x}, -10, 10);\r\nlin.setAttribute({strokeWidth:2, highlight:true, dash:2, strokeColor:'blue'});\r\n///////////////////////////////////////////////////\r\n/////////////////////////////Cubic FUNCTION//////////////\r\nvar cubc = plotFunction(graph, function(x){return 2*Math.abs(x)}, -10, 10);\r\ncubc.setAttribute({strokeWidth:2, highlight:true, dash:2, strokeColor:'green'});\r\n//////////////////////////////////////////////////////////\r\nquad.on('down', function(){j=2; cubc.setAttribute({dash:2, strokeWidth:2}); lin.setAttribute({dash:2, strokeWidth:2});\r\nquad.setAttribute({dash:0, strokeWidth:4})});\r\nlin.on('down', function(){j=1; cubc.setAttribute({dash:2, strokeWidth:2}); quad.setAttribute({dash:2, strokeWidth:2});\r\nlin.setAttribute({dash:0, strokeWidth:4})});\r\ncubc.on('down', function(){j=3; lin.setAttribute({dash:2, strokeWidth:2}); quad.setAttribute({dash:2, strokeWidth:2});\r\ncubc.setAttribute({dash:0, strokeWidth:4})});\r\n/////////////////////////////////////////////\r\n//writeLargeText(graph, -8, 7, 'x');\r\n//writeLargeText(graph, -6, 7, 'y=f(x)');\r\n//////////////////////////////////\r\nfor(let k=0; k<5; k++){\r\nwriteMediumText(graph, -7.5, 6+0.5-k, ()=>array[0][k]);\r\nwriteMediumText(graph, -6+0.5, 6+0.5-k, ()=>array[i][k]);\r\n}\r\n///////////////////////////////////////////////////////////////////////////////\r\n\r\n////////////////////////////////////////////END OF OPERATIONS///////////////////////////////\r\n//brd1.unsuspendUpdate();\r\n},\r\n}\r\nexport default Boxes;\r\n","<template>\r\n  <div>\r\n    <h3 ref=\"intro\">\r\n      What is a Function?\r\n    </h3>\r\n\r\n    <p class=\"big mt-3\">\r\n      A function (also called a mapping) is a mathematical rule that relates every element in one set to\r\n      exactly one elment in another set. <br>\r\n      The first set of numbers is called the domain of the function while the other set of numbers is called the range of the function.\r\n      <br>\r\n      For example, the relation described by  \\( y = 2x+3\\) is a function because for every value of \\(x\\), there is exactly one value of \\(y\\).\r\n    </p>\r\n    <h3 ref=\"types\">\r\n      Notation\r\n    </h3>\r\n    <p class=\"big mt-3\">\r\n      The mathematical notation for a function is  \\(y = f(x)\\), and is read as &mdash; \\(y\\)  is equal to \\(f\\) of\r\n      \\(x\\).<br> The letter \\(f\\) stands for the function, \\(x\\) stands for the input variable and \\(y\\) stands for the output variable.\n    </p>\r\n    <!--\r\n    <h3 ref=\"types\">\r\n      Finding Probability of an Event\r\n    </h3>\r\n    <br>\r\n    <p>\r\n      Let's consider a random experiment (say rolling of a die) that can give multiple outcomes (for example &mdash; the rolling of a die can give 1, 2, 3, 4, 5, or 6).\r\n<br><br>\r\n      Let's say we have to calculate the probability of occurrence of a given outcome (say getting a 2). Below are the steps to find this probability.\r\n    </p>\r\n    <ul class=\"a mx-3\">\r\n      <li> <h5> Step 1: Total Number of Possible Outcomes (<i>N</i> )</h5> </li>\r\n      <p>\n        Start with finding the number of all possible outcomes that can come\r\n         out of the random experiment.  Let's call this number <i>N</i>.\r\n      </p>\r\n      <li> <h5> Step 2: Number of Favorable Outcomes (<i>n</i> ) </h5> </li>\r\n      <p>\r\n        Next, we calculate the number of ways in which the desired outcome can be obtained.\r\n         Let's call this number <i>M</i>.\r\n      </p>\r\n      <li> <h5> Step 3: Calculate the Ratio <i>M</i> over <i>N</i></h5> </li>\r\n      <p>\r\n        Calculate the ratio of \\(M\\) over \\(N\\). This ratio gives the probability of event A.\r\n        $$\\text{Probability of Event A=}P(A) = \\frac{M}{N}$$\r\n      </p>\r\n    </ul> -->\r\n    <h3 ref=\"pg\">\n      MagicGraph | Find the Function\r\n    </h3>\r\n    <br>\r\n    <h5>Getting Started</h5>\r\n    <p class=\"big mt-3\">\n      In this MagicGraph, you are given two sets of numbers: x and y. Your goal is\r\n      to select the function from the graph that represents the mapping from x to y.\r\n      <br>\r\n      To select a function, tap on it. Once selected, then tap on the test button to check your answer.\r\n      <br>\r\n    </p>\r\n    <h5> Icons on the MagicGraph </h5>\r\n    <p>\r\n      You can tap on <i class=\"shuffler ma-1\" /> icon  to shuffle numbers.\r\n      You can tap on the <i class=\"tester ma-1\" /> icon to check your answer.\r\n    </p>\r\n    <br>\r\n    <v-responsive>\r\n      <v-layout justify-center>\r\n        <div id=\"jxgbox1\" class=\"edliy-box-about\" />\r\n      </v-layout>\r\n    </v-responsive>\r\n  </div>\r\n</template>\r\n<script>\r\nimport Boxes from './Boxes.js'\r\nexport default {\r\n  name: 'FunctionsAndRelations',\r\n  created: function () {\r\n    this.$store.commit('navigation/resetState');\r\n    let title = 'Functions & Relations ';\r\n    this.$store.commit('navigation/changeTitle', title);\r\n    this.$store.commit('navigation/changeMenu', title);\r\n    let newTopics = [\r\n      {title: 'Probability', img:'/assets/number-1.svg', action: () => this.goto('intro')},\r\n      {title: 'Probability of an Event', img:'/assets/number-2.svg', action: () => this.goto('types')},\r\n      {title: 'MagicGraph',img:'/assets/touch.svg', action: () => this.goto('pg')},\r\n    ];\r\n    this.$store.commit('navigation/replaceTopics', newTopics);\r\n    let newshowhome = false;\r\n    this.$store.commit('navigation/toggleshowhome', newshowhome);\r\n    let newMath =true;\r\n    this.$store.commit('navigation/replaceMath', newMath);\r\n    let newLeftArrow =true;\r\n    this.$store.commit('navigation/replaceLeftArrow', newLeftArrow);\r\n    let newModule=true;\r\n    this.$store.commit('navigation/replaceModule', newModule);\r\n  },\r\n  mounted () {\r\n    MathJax.Hub.Queue([\"Typeset\", MathJax.Hub]);\r\n    Boxes.box1();\r\n  },\r\n  metaInfo: {\r\n         title: 'Functions',\r\n          titleTemplate: '%s | Learn interactively',\r\n          meta: [\r\n                  {vmid: 'description', name: 'description', content: 'Learn interactively how to find probability.'}\r\n                ]\r\n   }\r\n}\r\n</script>\r\n","import mod from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=1bf99d9c&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n  script,\n  render,\n  staticRenderFns,\n  false,\n  null,\n  null,\n  null\n  \n)\n\nexport default component.exports"],"sourceRoot":""}