// Numbas version: exam_results_page_options {"name": "Definisjonsmengden piecewise", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Definisjonsmengden piecewise", "tags": [], "metadata": {"description": "
Multiple choice
Det er gitt en funksjon
", "advice": "The function $\\simplify{{out}}$ is a piecewise function. It is defined on different parts (or pieces) of its domain by different (sub)functions.
\n\nIn particular, the pieces of the domain are the intervals
\nand their corresponding (sub)functions are given by the expressions
\nIn the case of the function $\\simplify{{out}}$ above, each of the (sub)functions are defined for the indicated intervals and so the domain of $\\simplify{{out}}$ are all of those intervals combined. The first and second interval join nicely without a gap unlike the rest and so we have \\[\\text{dom}(\\simplify{{out}})=\\{\\simplify{{inp}}\\in\\mathbb{R}:\\, \\simplify{{inp}}\\leq \\var{b1},\\; \\var{b2}\\leq \\simplify{{inp}}<\\var{b3},\\; \\var{b3}<\\simplify{{inp}}\\leq\\var{b4}, \\text{ or }\\; \\simplify{{inp}}\\ge \\var{b5}\\}.\\]
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\n\nHvilke av følgende mengdene er definisjonsmegden til $\\simplify{{out}}(\\simplify{{inp}})$?
", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "checkbox", "displayColumns": "1", "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["$\\text{D}_\\simplify{{out}}=\\mathbb{R}$
", "$\\text{D}_\\simplify{{out}}=\\{\\simplify{{inp}}\\in\\mathbb{R}:\\, \\simplify{{inp}}\\leq \\var{b1},\\; \\var{b2}\\leq \\simplify{{inp}}\\leq\\var{b4}, \\text{ or }\\; \\simplify{{inp}}\\ge \\var{b5}\\}$
", "$\\text{D}_\\simplify{{out}}=\\{\\simplify{{inp}}\\in\\mathbb{R}:\\, \\simplify{{inp}}\\leq \\var{b1},\\; \\var{b2}\\leq \\simplify{{inp}}<\\var{b3},\\; \\var{b3}<\\simplify{{inp}}\\leq\\var{b4}, \\text{ or }\\; \\simplify{{inp}}\\ge \\var{b5}\\}$
", "$\\text{D}_\\simplify{{out}}=\\{\\simplify{{inp}}\\in\\mathbb{R}:\\, \\simplify{{inp}}< \\var{b0},\\; \\var{b2}\\leq \\simplify{{inp}}<\\var{b3},\\; \\var{b3}<\\simplify{{inp}}\\leq\\var{b4}, \\text{ or }\\; \\simplify{{inp}}\\ge \\var{b5}\\}$
", "$\\text{D}_\\simplify{{out}}=\\{\\simplify{{inp}}\\in\\mathbb{R}:\\, \\simplify{{inp}}< \\var{b1},\\; \\var{b2}< \\simplify{{inp}}\\leq\\var{b3},\\; \\var{b3}\\leq\\simplify{{inp}}<\\var{b4}, \\text{ or }\\; \\simplify{{inp}}> \\var{b5}\\}$
", "$\\text{D}_\\simplify{{out}}=\\mathbb{R}^5$
", "$\\text{D}_\\simplify{{out}}=\\{\\simplify{{inp}}\\in\\mathbb{R}:\\, \\simplify{{inp}}< \\var{b0},\\; \\var{b0}< \\simplify{{inp}}<\\var{b1},\\;\\var{b2}\\leq \\simplify{{inp}}<\\var{b3},\\; \\var{b3}<\\simplify{{inp}}\\leq\\var{b4}, \\text{ or }\\; \\simplify{{inp}}\\ge \\var{b5}\\}$
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