// Numbas version: exam_results_page_options
{"name": "Q20", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "extensions": [], "preamble": {"css": "", "js": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "variables": {"choicemarks": {"group": "Ungrouped variables", "definition": "//marks to award for each of the above choices\n    [1,0,0,0]", "description": "", "templateType": "anything", "name": "choicemarks"}, "order": {"group": "Ungrouped variables", "definition": "//the order in which to display the choices - pick a random permutation of [0,1,2,3,4]\n    deal(4)", "description": "", "templateType": "anything", "name": "order"}, "a": {"group": "Ungrouped variables", "definition": "random(2..5)", "description": "", "templateType": "anything", "name": "a"}, "shuffledchoices": {"group": "Ungrouped variables", "definition": "//the choice texts, in the shuffled order\n    map(choices[j],j,order)", "description": "", "templateType": "anything", "name": "shuffledchoices"}, "b": {"group": "Ungrouped variables", "definition": "random(-5..5 except a except 0)", "description": "", "templateType": "anything", "name": "b"}, "Choice3": {"group": "Ungrouped variables", "definition": "expression('1/root((x+' + b + '),' + a + ')')", "description": "", "templateType": "anything", "name": "Choice3"}, "correctAnswer": {"group": "Ungrouped variables", "definition": "expression('root((x-' + b + '),' + a + ')')", "description": "", "templateType": "anything", "name": "correctAnswer"}, "marks": {"group": "Ungrouped variables", "definition": "//marks to award for each choice, then append the marks for \"none of the above\"\n    map(choicemarks[j],j,order)+noneofthesemarks", "description": "", "templateType": "anything", "name": "marks"}, "Choice2": {"group": "Ungrouped variables", "definition": "expression('1/root((x-' + b + '),' + a + ')')", "description": "", "templateType": "anything", "name": "Choice2"}, "Choice1": {"group": "Ungrouped variables", "definition": "expression('root((x+' + b + '),' + a + ')')", "description": "", "templateType": "anything", "name": "Choice1"}, "choices": {"group": "Ungrouped variables", "definition": "//choices, apart from \"none of the above\"\n    [correctAnswer,Choice1,Choice2,Choice3]", "description": "", "templateType": "anything", "name": "choices"}, "noneofthesemarks": {"group": "Ungrouped variables", "definition": "//marks to award for selecting \"none of these\"\n    0", "description": "", "templateType": "anything", "name": "noneofthesemarks"}}, "variable_groups": [], "statement": "<p>If the funcction $f(x)$ is defined by $f(x) = \\simplify{x^{a}+{b}}$, the $f^{-1}(x)$, the inverse function of $f(x)$ is :&nbsp;</p>", "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "name": "Q20", "advice": "", "rulesets": {}, "ungrouped_variables": ["a", "b", "correctAnswer", "Choice1", "Choice2", "Choice3", "choices", "noneofthesemarks", "choicemarks", "marks", "shuffledchoices", "order"], "parts": [{"type": "1_n_2", "shuffleChoices": false, "matrix": "marks", "variableReplacements": [], "maxMarks": 0, "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "minMarks": 0, "showFeedbackIcon": true, "choices": ["<p>$\\simplify{{shuffledchoices[0]}}$</p>", "<p>$\\simplify{{shuffledchoices[1]}}$</p>", "<p>$\\simplify{{shuffledchoices[2]}}$</p>", "<p>$\\simplify{{shuffledchoices[3]}}$</p>", "<p>None of these</p>"], "variableReplacementStrategy": "originalfirst", "scripts": {}, "displayType": "radiogroup"}], "type": "question", "contributors": [{"name": "David Wishart", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1461/"}]}]}], "contributors": [{"name": "David Wishart", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1461/"}]}