// Numbas version: finer_feedback_settings
{"name": "Modulus graph (2)", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["a", "b", "defs"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>This uses an embedded Geogebra graph of a modulus function with random coefficients set by NUMBAS.</p>"}, "advice": "<p><strong>This is not a function</strong>.&nbsp; The graph&nbsp;fails the vertical line test, because a vertical line would usually touch&nbsp;two&nbsp;points on the curve.&nbsp;&nbsp;</p>\n<p><strong>This is a one-to-many map</strong>.&nbsp;&nbsp;That means each input ($x$-axis, domain) often go to&nbsp;two outputs ($y$-axis, range).</p>\n<p>This&nbsp;relation&nbsp;<strong>does not have an inverse function</strong>.&nbsp; Although it passes the horizontal line test....remember, the horizontal line test only applies to functions!</p>", "preamble": {"css": "", "js": ""}, "extensions": ["geogebra"], "statement": "<p>Consider the graph below.</p>\n<p>{geogebra_applet('https://ggbm.at/U6RXuHrT', defs, [])}</p>", "tags": [], "rulesets": {}, "parts": [{"showCorrectAnswer": true, "displayColumns": 0, "scripts": {}, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "minMarks": 0, "displayType": "radiogroup", "maxMarks": 0, "prompt": "<p>Select the equation for this graph.</p>", "distractors": ["", "", "", ""], "marks": 0, "type": "1_n_2", "choices": ["<p>$y=|\\simplify[fractionNumbers,unitFactor]{{a}x+{b}}|$</p>", "<p>$y=\\simplify[fractionNumbers,unitFactor]{{a}x+{b}}$</p>", "<p>$y=|\\simplify[fractionNumbers,unitFactor]{{-a}x+{b}}|$</p>", "<p>$y=\\simplify[fractionNumbers,unitFactor]{{a}abs(x)+{b}}$</p>"], "showFeedbackIcon": true, "shuffleChoices": true, "matrix": ["0", 0, 0, "2"]}], "functions": {"graph": {"language": "jme", "type": "html", "parameters": [], "definition": "geogebra_applet('https://ggbm.at/aXxv2ECN', defs, [])"}}, "name": "Modulus graph (2)", "variable_groups": [], "variables": {"b": {"templateType": "anything", "name": "b", "group": "Ungrouped variables", "description": "", "definition": "random(-4..4#0.5 except 0)"}, "a": {"templateType": "anything", "name": "a", "group": "Ungrouped variables", "description": "", "definition": "random(0.5..3#0.5 except 0)"}, "defs": {"templateType": "anything", "name": "defs", "group": "Ungrouped variables", "description": "", "definition": "[\n  ['a',a],\n  ['b',b]\n]"}}, "variablesTest": {"condition": "", "maxRuns": "200"}, "type": "question", "contributors": [{"name": "Adrian Jannetta", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/164/"}]}]}], "contributors": [{"name": "Adrian Jannetta", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/164/"}]}