// Numbas version: exam_results_page_options
{"name": "Identify the y-intercept of an exponential function", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Identify the y-intercept of an exponential function", "tags": [], "metadata": {"description": "<p>Students are given an exponential equation and asked to identify the y-intercept from a list of choices.</p>\n<p>The constants in the exponential equation have been randomised.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>What is the $y$-intercept of the exponential function $y=\\var{k} \\times \\var{a}^{\\var{bdisplay}x}$?</p>", "advice": "<p>Every exponential of the form $y=a^x$ or $y=a^{-x}$ passes through the point $(0,1)$.</p>\n<p>When the equation is multiplied by a constant, $k$, the $y$-intercept moves to pass through the point $(0,k)$.</p>\n<p>So this exponential has a $y$-intercept of $(0,\\var{k})$&nbsp;</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(11 .. 20)/10", "description": "<p>exponent base</p>", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(-1,1)", "description": "", "templateType": "anything", "can_override": false}, "k": {"name": "k", "group": "Ungrouped variables", "definition": "random(21 .. 50)/10", "description": "", "templateType": "anything", "can_override": false}, "bdspchoices": {"name": "bdspchoices", "group": "Ungrouped variables", "definition": "['-','','']", "description": "<p>if b is -1 then display an index of -x. Otherwise just display x.</p>", "templateType": "anything", "can_override": false}, "bdisplay": {"name": "bdisplay", "group": "Ungrouped variables", "definition": "bdspchoices[sgn(b)+1]", "description": "<p>if b is -1 then display an index of -x. Otherwise just display x.</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "k", "bdspchoices", "bdisplay"], "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": ["$(0,\\var{k})$", "$(0,\\var{a})$", "$(0,1)$", "$(0,0)$"], "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/"}]}