// Numbas version: exam_results_page_options
{"name": "Maria's copy of Domain of a polynomial", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variables": {"b": {"definition": "a+random(1..10)", "templateType": "anything", "description": "", "name": "b", "group": "Ungrouped variables"}, "n": {"definition": "random(1..5)", "templateType": "anything", "description": "", "name": "n", "group": "Ungrouped variables"}, "poly": {"definition": "if(n=2,'\\$\\\\simplify{{out}({inp})={c[0]}+{c[1]}{inp}+{c[2]}{inp}^2}\\$',\nif(n=3, '\\$\\\\simplify{{out}({inp})={c[0]}+{c[1]}{inp}+{c[2]}{inp}^2+{c[3]}{inp}^3}\\$',\nif(n=4, '\\$\\\\simplify{{out}({inp})={c[0]}+{c[1]}{inp}+{c[2]}{inp}^2+{c[3]}{inp}^3+{c[4]}{inp}^4}\\$',\nif(n=5, '\\$\\\\simplify{{out}({inp})={c[0]}+{c[1]}{inp}+{c[2]}{inp}^2+{c[3]}{inp}^3+{c[4]}{inp}^4+{c[5]}{inp}^5}\\$',\n        '\\$\\\\simplify{{out}({inp})={c[0]}+{c[1]}{inp}}\\$'))))", "templateType": "anything", "description": "", "name": "poly", "group": "Ungrouped variables"}, "a": {"definition": "random(-12..2)", "templateType": "anything", "description": "", "name": "a", "group": "Ungrouped variables"}, "c": {"definition": "[random(-12..12 except 0)]+repeat(random(0,random(-12..12 except 0)),n-1)+[random(-12..12 except 0)]", "templateType": "anything", "description": "", "name": "c", "group": "Ungrouped variables"}, "out": {"definition": "expression(random('f','h','g','p','q','y'))", "templateType": "anything", "description": "", "name": "out", "group": "Ungrouped variables"}, "inp": {"definition": "expression(random('x','r','s','t','w'))", "templateType": "anything", "description": "", "name": "inp", "group": "Ungrouped variables"}}, "rulesets": {}, "name": "Maria's copy of Domain of a polynomial", "advice": "<p>The function {poly} is a polynomial. Regardless of the value of $\\simplify{{inp}}$, the function $\\simplify{{out}}$ will output a number. That is, the domain of $\\simplify{{out}}$ is the set of all real numbers. We can write this as&nbsp;</p>\n<p>\\[\\text{dom}(\\simplify{{out}})=\\mathbb{R}\\]</p>\n<p>or as the open interval</p>\n<p>\\[\\text{dom}(\\simplify{{out}})=(-\\infty,\\infty).\\]</p>\n<p></p>", "ungrouped_variables": ["out", "inp", "n", "c", "poly", "a", "b"], "extensions": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "parts": [{"distractors": ["", "", "", "", "", ""], "marks": 0, "variableReplacements": [], "scripts": {}, "warningType": "none", "type": "m_n_2", "prompt": "<p>Which of the following represents the domain of&nbsp;{poly}?</p>", "choices": ["<p>$\\mathbb{R}$</p>", "<p>$(-\\infty,\\infty)$</p>", "<p>$\\{\\simplify{{inp}}\\in\\mathbb{R}:\\, \\var{a}\\leq\\simplify{{inp}}\\leq\\var{b}\\}$</p>", "<p>$\\{\\simplify{{inp}}\\in\\mathbb{R}:\\, \\var{a}&lt;\\simplify{{inp}}&lt;\\var{b}\\}$</p>", "<p>$\\{\\simplify{{inp}}\\in\\mathbb{R}:\\, \\simplify{{inp}}\\ne \\var{c[0]}\\}$</p>", "<p>$\\{\\simplify{{inp}}\\in\\mathbb{R}:\\, \\simplify{{inp}}&lt;\\var{a}\\, \\text{or} \\,\\simplify{{inp}}\\ge\\var{b}\\}$</p>"], "shuffleChoices": true, "minMarks": 0, "maxMarks": 0, "displayType": "checkbox", "showCorrectAnswer": true, "displayColumns": "1", "showFeedbackIcon": true, "matrix": ["1", "1", 0, 0, 0, 0], "variableReplacementStrategy": "originalfirst", "minAnswers": 0, "maxAnswers": 0}], "tags": [], "variable_groups": [], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Multiple choice <g class=\"gr_ gr_5 gr-alert gr_gramm gr_inline_cards gr_run_anim Grammar multiReplace\" id=\"5\" data-gr-id=\"5\">question</g>. Given a randomised polynomial select the <g class=\"gr_ gr_4 gr-alert gr_spell gr_inline_cards gr_run_anim ContextualSpelling ins-del multiReplace gr-progress sel\" id=\"4\" data-gr-id=\"4\">possibe</g> ways of writing the domain of the function.</p>"}, "statement": "<p>Given the real function below, you should be able to determine its&nbsp;domain.&nbsp;</p>", "functions": {}, "type": "question", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Maria Aneiros", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3388/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Maria Aneiros", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3388/"}]}