// Numbas version: exam_results_page_options {"name": "Q25", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"advice": "", "extensions": [], "preamble": {"js": "", "css": ""}, "variable_groups": [], "variables": {"Choice2": {"definition": "expression((y^2-1) + '+e^-x')", "name": "Choice2", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "choicemarks": {"definition": "//marks to award for each of the above choices\n [1,0,0,0]", "name": "choicemarks", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "marks": {"definition": "//marks to award for each choice, then append the marks for \"none of the above\"\n map(choicemarks[j],j,order)+noneofthesemarks", "name": "marks", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "y": {"definition": "random(2..9)", "name": "y", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "Choice1": {"definition": "expression('\\sqrt(' + (y^2-1) + '+x^2)')", "name": "Choice1", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "shuffledchoices": {"definition": "//the choice texts, in the shuffled order\n map(choices[j],j,order)", "name": "shuffledchoices", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "choices": {"definition": "//choices, apart from \"none of the above\"\n [correctAnswer,Choice1,Choice2,Choice3]", "name": "choices", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "Choice3": {"definition": "expression((y^2-1) + '+e^-x^2')", "name": "Choice3", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "correctAnswer": {"definition": "expression('\\sqrt(' + (y^2-1) + '+e^-x^2)')", "name": "correctAnswer", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "order": {"definition": "//the order in which to display the choices - pick a random permutation of [0,1,2,3,4]\n deal(4)", "name": "order", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "noneofthesemarks": {"definition": "//marks to award for selecting \"none of these\"\n 0", "name": "noneofthesemarks", "group": "Ungrouped variables", "templateType": "anything", "description": ""}}, "statement": "

If the graph $y = f(x)$ contains the point $(0,\\var{y})$, $\\simplify{d*y/(d*x)} = \\simplify{-x/ye^x^2}$ and $f(x) > 0$ for all $x$ values, then $f(x) = $

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$\\simplify[!constantsFirst]{{shuffledchoices[0]}}$

", "

$\\simplify[!constantsFirst]{{shuffledchoices[1]}}$

", "

$\\simplify[!constantsFirst]{{shuffledchoices[2]}}$

", "

$\\simplify[!constantsFirst]{{shuffledchoices[3]}}$

", "

None of these

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