// Numbas version: exam_results_page_options
{"name": "identify the exponential 2", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "identify the exponential 2", "tags": [], "metadata": {"description": "<p>Students are shown&nbsp;an exponential graph and asked to identify its equation from 4 choices.</p>\n<p>The graph is randomised.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Identify the equation that matches the graph</p>", "advice": "<p>This exponential function has an asymptote at $\\var{c}$, so $c=\\var{c}$.</p>\n<p>It cuts the $x$-axis at $c + k =&nbsp; \\var{c+k}$, so $k = \\var{c+k} - (\\var{c}) = \\var{k}$.</p>\n<p>Finally the curve is {updownval}, which means that the value of the exponent is {posnegval}.</p>\n<p>So the correct equation is&nbsp;$y=\\var{k} \\times \\var{a}^{\\var{bsgn}x} \\var{csgn}&nbsp;\\var{c}$</p>\n<p></p>", "rulesets": {}, "extensions": ["geogebra"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"defs1": {"name": "defs1", "group": "Ungrouped variables", "definition": "[\n  ['a',a],['b',b],['c',c],['k',k]\n  ]", "description": "", "templateType": "anything", "can_override": false}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "random(11..19)/10", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(-1,1)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(-3,-2,-1,1,2,3)", "description": "", "templateType": "anything", "can_override": false}, "k": {"name": "k", "group": "Ungrouped variables", "definition": "random(1..5)", "description": "", "templateType": "anything", "can_override": false}, "possgn": {"name": "possgn", "group": "Ungrouped variables", "definition": "['','','+']", "description": "", "templateType": "anything", "can_override": false}, "bsgn": {"name": "bsgn", "group": "Ungrouped variables", "definition": "negsgn[sgn(b)+1]", "description": "", "templateType": "anything", "can_override": false}, "csgn": {"name": "csgn", "group": "Ungrouped variables", "definition": "possgn[sgn(c)+1]", "description": "", "templateType": "anything", "can_override": false}, "negsgn": {"name": "negsgn", "group": "Ungrouped variables", "definition": "[\"-\",\"\",\"\"]", "description": "", "templateType": "anything", "can_override": false}, "updown": {"name": "updown", "group": "Ungrouped variables", "definition": "['decaying','','growing']", "description": "", "templateType": "anything", "can_override": false}, "updownval": {"name": "updownval", "group": "Ungrouped variables", "definition": "updown[sgn(b)+1]", "description": "", "templateType": "anything", "can_override": false}, "posneg": {"name": "posneg", "group": "Ungrouped variables", "definition": "['negative','','positive']", "description": "", "templateType": "anything", "can_override": false}, "posnegval": {"name": "posnegval", "group": "Ungrouped variables", "definition": "posneg[sgn(b)+1]", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["defs1", "a", "b", "c", "k", "possgn", "bsgn", "csgn", "negsgn", "updown", "updownval", "posneg", "posnegval"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "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>Which of these equations matches this graph?</p>\n<pre><code>{geogebra_applet('https://www.geogebra.org/m/peeue5xr',defs1)}</code></pre>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$y=\\var{k} \\times \\var{a}^{\\var{bsgn}x} \\var{csgn}&nbsp;\\var{c}$", "$y=\\var{k}^{\\var{bsgn}x}\\var{csgn}&nbsp;\\var{c}$", "$y=\\var{k}&nbsp;\\times \\var{a}^{\\var{negsgn[sgn(b)*(-1)+1]}x}\\var{csgn}&nbsp;\\var{c}$", "$y=\\var{k+c}&nbsp;\\times \\var{a}^{\\var{bsgn}x}$"], "matrix": ["1", 0, 0, 0], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}]}]}], "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}]}