// Numbas version: exam_results_page_options {"name": "exponential equation", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "exponential equation", "tags": [], "metadata": {"description": "

Students are shown an exponential function formula and asked to identify the correct graph, given an exponential, a hyperbola, a parabola and a line.

", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "

Which of the following graphs represents $y = \\var{ek} \\times \\var{ea}^{\\var{chooseprefix} x} \\var{choosesign}$ ?

", "advice": "

The equation is in the form $y = k \\times a^x + c$, which is an exponential.

", "rulesets": {}, "extensions": ["geogebra"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"pa": {"name": "pa", "group": "Ungrouped variables", "definition": "random(-5,-4,-3,-2,-1,1,2,3,4,5)", "description": "", "templateType": "anything", "can_override": false}, "pb": {"name": "pb", "group": "Ungrouped variables", "definition": "random(-3,3)", "description": "", "templateType": "anything", "can_override": false}, "pc": {"name": "pc", "group": "Ungrouped variables", "definition": "random(-3,3)", "description": "", "templateType": "anything", "can_override": false}, "pdefs": {"name": "pdefs", "group": "Ungrouped variables", "definition": "[\n ['a',pa],['b',pb],['c',pc]\n ]", "description": "", "templateType": "anything", "can_override": false}, "ea": {"name": "ea", "group": "Ungrouped variables", "definition": "random(2..10)", "description": "", "templateType": "anything", "can_override": false}, "eb": {"name": "eb", "group": "Ungrouped variables", "definition": "random(-1,1)", "description": "", "templateType": "anything", "can_override": false}, "ec": {"name": "ec", "group": "Ungrouped variables", "definition": "random(-2..3)", "description": "", "templateType": "anything", "can_override": false}, "ek": {"name": "ek", "group": "Ungrouped variables", "definition": "random(1..5)", "description": "", "templateType": "anything", "can_override": false}, "edefs": {"name": "edefs", "group": "Ungrouped variables", "definition": "[\n ['a',ea],['b',eb],['c',ec],['k',ek]\n ]", "description": "", "templateType": "anything", "can_override": false}, "ha": {"name": "ha", "group": "Ungrouped variables", "definition": "random(-3,-2,-1,1,2,3,4,5)", "description": "", "templateType": "anything", "can_override": false}, "hc": {"name": "hc", "group": "Ungrouped variables", "definition": "random(-3..3)", "description": "", "templateType": "anything", "can_override": false}, "hdefs": {"name": "hdefs", "group": "Ungrouped variables", "definition": "[\n ['a',ha],['c',hc]\n ]", "description": "", "templateType": "anything", "can_override": false}, "ldefs": {"name": "ldefs", "group": "Ungrouped variables", "definition": "[\n ['a',pa],['b',pb]\n ]", "description": "", "templateType": "anything", "can_override": false}, "prefix": {"name": "prefix", "group": "Ungrouped variables", "definition": "['-','']", "description": "", "templateType": "anything", "can_override": false}, "chooseprefix": {"name": "chooseprefix", "group": "Ungrouped variables", "definition": "prefix[(eb+1)/2]", "description": "", "templateType": "anything", "can_override": false}, "sign": {"name": "sign", "group": "Ungrouped variables", "definition": "['{ec}','','+ {ec}']", "description": "", "templateType": "anything", "can_override": false}, "choosesign": {"name": "choosesign", "group": "Ungrouped variables", "definition": "sign[sgn(ec)+1]", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["pa", "pb", "pc", "pdefs", "ea", "eb", "ec", "ek", "edefs", "ha", "hc", "hdefs", "ldefs", "prefix", "chooseprefix", "sign", "choosesign"], "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, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["
{geogebra_applet('https://www.geogebra.org/m/rpahpr69',hdefs)}
", "
{geogebra_applet('https://www.geogebra.org/m/vscpgws8',pdefs)}
", "
{geogebra_applet('https://www.geogebra.org/m/peeue5xr',edefs)}
", "
{geogebra_applet('https://www.geogebra.org/m/pdapbxee',ldefs)}
"], "matrix": ["0", "0", "1", 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/"}]}