// Numbas version: finer_feedback_settings
{"name": "Potenzfunktionen", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Potenzfunktionen", "tags": [], "metadata": {"description": "<p>Variante der Aufgabe-Nr.&nbsp;<strong><a href=\"https://aufgabenpool.at/ahs/Typ-1/193/Potenzfunktionen.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">1_484</a></strong>,&nbsp;ehemalige Klausuraufgabe, &ouml;sterreichischer AHS-Maturatermin: 10. Mai 2016</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<h3>Potenzfunktionen</h3>\n<p>Gegeben sind die Graphen von vier verschiedenen Potenzfunktionen $f$ mit $f(x)=a \\cdot x^z$ sowie sechs Bedingungen f&uuml;r den Parameter $a$ und den Exponenten $z$. Dabei ist $a$ eine reelle, $z$ eine nat&uuml;rliche Zahl.</p>\n<p><em>Bitte etwas Geduld beim Laden der Graphen.</em></p>", "advice": "<p>Die erste Entscheidung sollte das $z$ betreffen: Bei einer Gerade ist es $z=1$, U-f&ouml;rmiger Verlauf ist $z=2$ und S-f&ouml;rmiger Verlauf ist $z=3$</p>\n<p>F&uuml;r $z=1$ und $z=3$ kann man jetzt pr&uuml;fen: Ist der Graph streng monoton wachsend, dann ist $a&gt;0$ korrekt, ist er streng monoton fallend, ist $a&lt;0$ korrekt.</p>\n<p>F&uuml;r $z=2$ pr&uuml;ft man: Ist der Graph oben offen ($\\cup$), dann ist $a&gt;0$, ist der Graph unten offen ($\\cap$), dann ist $a&lt;0$.</p>", "rulesets": {}, "extensions": ["geogebra"], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "[-random(3..9)/20,+random(5..10)/25]", "description": "", "templateType": "anything"}, "z": {"name": "z", "group": "Ungrouped variables", "definition": "[1,2,3]", "description": "", "templateType": "anything"}, "ggburl": {"name": "ggburl", "group": "Ungrouped variables", "definition": "'https://www.geogebra.org/m/wvb8ker2'", "description": "", "templateType": "anything"}, "graphs": {"name": "graphs", "group": "Ungrouped variables", "definition": "[geogebra_applet(ggburl,[[\"a\",a[0]],[\"n\",z[0]]]),geogebra_applet(ggburl,[[\"a\",a[1]],[\"n\",z[0]]]),\n  geogebra_applet(ggburl,[[\"a\",a[0]],[\"n\",z[1]]]),geogebra_applet(ggburl,[[\"a\",a[1]],[\"n\",z[1]]]),\n  geogebra_applet(ggburl,[[\"a\",a[0]],[\"n\",z[2]]]),geogebra_applet(ggburl,[[\"a\",a[1]],[\"n\",z[2]]])]", "description": "", "templateType": "anything"}, "answers": {"name": "answers", "group": "Ungrouped variables", "definition": "['a<0,z=1','a>0,z=1',\n  'a<0,z=2','a>0,z=2',\n  'a<0,z=3','a>0,z=3']", "description": "", "templateType": "anything"}, "choices": {"name": "choices", "group": "Ungrouped variables", "definition": "deal(6)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "z", "ggburl", "graphs", "answers", "choices"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_x", "useCustomName": true, "customName": "Aufgabe", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<table>\n<tbody>\n<tr>\n<td style=\"padding-left: 30px;\">\n<h3>A&nbsp;&nbsp;</h3>\n</td>\n<td>{graphs[choices[0]]}</td>\n<td></td>\n<td style=\"text-align: right;\">\n<h3>B&nbsp;&nbsp;</h3>\n</td>\n<td>{graphs[choices[1]]}</td>\n</tr>\n<tr>\n<td style=\"padding-left: 30px;\">&nbsp;</td>\n<td></td>\n<td></td>\n<td style=\"text-align: right;\"></td>\n<td></td>\n</tr>\n<tr>\n<td style=\"padding-left: 30px;\">\n<h3>C&nbsp;&nbsp;</h3>\n</td>\n<td>{graphs[choices[2]]}</td>\n<td></td>\n<td style=\"padding-left: 30px;\">\n<h3>D&nbsp;&nbsp;</h3>\n</td>\n<td>{graphs[choices[3]]}</td>\n</tr>\n</tbody>\n</table>\n<p><strong>Aufgabenstellung:</strong></p>\n<p>Kreuzen&nbsp;Sie f&uuml;r jeden der vier Graphen (A bis D) jeweils die entsprechende Bedingung f&uuml;r den Parameter $a$ und den&nbsp;Exponenten $z$ an!</p>", "minMarks": 0, "maxMarks": 0, "minAnswers": "4", "maxAnswers": "4", "shuffleChoices": false, "shuffleAnswers": true, "displayType": "radiogroup", "warningType": "prevent", "showCellAnswerState": true, "choices": ["A", "B", "C", "D"], "matrix": [["1", 0, 0, 0, 0, 0], [0, "1", 0, 0, 0, 0], [0, 0, "1", 0, 0, 0], [0, 0, 0, "1", 0, 0]], "layout": {"type": "all", "expression": ""}, "answers": ["{latex(answers[choices[0]])}", "{latex(answers[choices[1]])}", "{latex(answers[choices[2]])}", "{latex(answers[choices[3]])}", "{latex(answers[choices[4]])}", "{latex(answers[choices[5]])}"]}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><sub><em>Variante der Aufgabe-Nr.&nbsp;<strong><a href=\"https://aufgabenpool.at/ahs/Typ-1/193/Potenzfunktionen.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">1_484</a></strong>,&nbsp;ehemalige Klausuraufgabe, &ouml;sterreichischer AHS-Maturatermin: 10. Mai 2016</em></sub></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 784px; width: 0px; top: 31px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 769px; width: 50px; top: 16px; height: 20px; font-size: 10px; color: black;\"></span></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 27px; width: 0px; top: 28px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 12px; width: 50px; top: 13px; height: 20px; font-size: 10px; color: black;\"></span></p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}]}]}], "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}]}