// Numbas version: finer_feedback_settings
{"name": "Polynomial Graph 2", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"extensions": ["geogebra"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.&nbsp; Student has to decide what kind of map it represents and whether an inverse function exists.</p>"}, "variable_groups": [], "tags": [], "functions": {"graph": {"language": "jme", "parameters": [], "definition": "geogebra_applet('https://ggbm.at/aXxv2ECN', defs, [])", "type": "html"}}, "variables": {"n": {"templateType": "anything", "definition": "random(-1,1)", "description": "", "group": "Ungrouped variables", "name": "n"}, "b": {"templateType": "anything", "definition": "random(-3..3#0.5)", "description": "", "group": "Ungrouped variables", "name": "b"}, "c": {"templateType": "anything", "definition": "random(-3..3#0.5)", "description": "", "group": "Ungrouped variables", "name": "c"}, "defs": {"templateType": "anything", "definition": "[\n  ['b',b],\n  ['c',c],\n  ['n',n]\n]", "description": "", "group": "Ungrouped variables", "name": "defs"}, "D": {"templateType": "anything", "definition": "b^2 - 4*c*n", "description": "", "group": "Ungrouped variables", "name": "D"}}, "ungrouped_variables": ["b", "c", "defs", "D", "n"], "preamble": {"css": "", "js": ""}, "rulesets": {}, "advice": "<p><strong>This is a function</strong>.&nbsp; The graph passes the vertical line test, because a vertical line would touch only one point on the curve.&nbsp; That means each input ($x$-axis, domain) goes to one output ($y$-axis, range).</p>\n<p><strong>This is a one-to-one map</strong>.&nbsp;&nbsp;Each value in the range (the $y$-axis) is associated with only one value in the domain.</p>\n<p>This function&nbsp;<strong>has an inverse function</strong>.&nbsp; The graph&nbsp;passes the horizontal line test, because a horizontal line would make contact with&nbsp;only one point on the curve.</p>", "variablesTest": {"condition": "D<0", "maxRuns": "200"}, "statement": "<p>Select the true statements about the following graph.</p>\n<p>{geogebra_applet('https://ggbm.at/ECnvrES2', defs, [])}</p>", "parts": [{"variableReplacements": [], "showCorrectAnswer": true, "minAnswers": "2", "choices": ["<p>One-to-one map</p>", "<p>Many-to-one map</p>", "<p>One-to-many map</p>", "<p>This graph is a function.</p>", "<p>This graph is&nbsp;<strong><em>not</em>&nbsp;&nbsp;</strong>a function.</p>", "<p>Inverse function exists.</p>", "<p>Inverse function <em><strong>does not</strong></em> exist.</p>"], "shuffleChoices": true, "variableReplacementStrategy": "originalfirst", "prompt": "<ul>\n<li>You may select more than one option.</li>\n<li>You can assume the visible graph represents the entire curve</li>\n</ul>", "distractors": ["", "", "", "", "", "", ""], "marks": 0, "minMarks": 0, "showFeedbackIcon": true, "displayColumns": 0, "maxMarks": 0, "maxAnswers": 0, "matrix": ["1", "-1", "-1", "1", "-1", "1", "-1"], "displayType": "checkbox", "type": "m_n_2", "warningType": "none", "scripts": {}}], "name": "Polynomial Graph 2", "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/"}]}