{"id":"cb_question_bank:2e8a6168-30d3-434e-9853-5f5e40f1d340","source_id":"cb_question_bank","source_item_id":"2e8a6168-30d3-434e-9853-5f5e40f1d340","external_id":null,"ibn":"027806-DC","question_id":"b39d74a0","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.C.","skill":"Nonlinear functions","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The table shown includes some values of x and their corresponding values of y . Which of the following graphs in the xy -plane could represent the relationship between x and y ?","stimulus":"x y 0 0 1 1 2 8 3 27","stimulus_html":"<div class=\"stimulus_reference \">\n\t<div class=\"passage \">\n\t\t<div class=\"prose style:1 \">\n\t\t\t<div>\n\t\t\t\t<table class=\"tableWithBorder\"><tbody><tr><td class=\"tableWithBorderTd tdb1ce00de-a42a-433b-8846-bed279b0ea19\"><span class=\"italic\">x</span></td>\n\t\t\t\t\t\t\t<td class=\"tableWithBorderTd tddf2d9a03-e749-4d1c-8f94-1fb73a5200d9\"><span class=\"italic\">y</span></td>\n\t\t\t\t\t\t</tr><tr><td class=\"tableWithBorderTd td6d378c17-9522-4c61-a924-e8757175a808\">0</td>\n\t\t\t\t\t\t\t<td class=\"tableWithBorderTd tde4f19213-1478-45fe-92b5-0b4855cfe13b\">0</td>\n\t\t\t\t\t\t</tr><tr><td class=\"tableWithBorderTd td4f4c34c1-1664-4d19-97d1-d7c3310c26ff\">1</td>\n\t\t\t\t\t\t\t<td class=\"tableWithBorderTd tdd6261c1e-52b7-4570-ad52-98ed1f0cc2de\">1</td>\n\t\t\t\t\t\t</tr><tr><td class=\"tableWithBorderTd td6372012e-1926-472c-b739-b7cbc14194c3\">2</td>\n\t\t\t\t\t\t\t<td class=\"tableWithBorderTd td4270251d-4f9e-4ca1-9ee9-d90a0527ba9a\">8</td>\n\t\t\t\t\t\t</tr><tr><td class=\"tableWithBorderTd td76b276cb-5dfb-4200-a73c-f4787145923e\">3</td>\n\t\t\t\t\t\t\t<td class=\"tableWithBorderTd tdb68c724e-9bdb-41ab-856e-3ab6bbc589ae\">27</td>\n\t\t\t\t\t\t</tr></tbody></table></div>\n\t\t</div>\n\t</div>\n</div>\n","stem_html":"<p class=\"stem_paragraph \">The table shown includes some values of <span class=\"italic\">x</span> and their corresponding values of <span class=\"italic\">y</span>. Which of the following graphs in the <span class=\"italic \">xy</span>-plane could represent the relationship between <span class=\"italic\">x</span> and <span class=\"italic\">y</span> ?</p>\n","rationale_html":"<p>Choice B is correct. Each pair of values shown in the table gives the ordered pair of coordinates for a point that lies on the graph that represents the relationship between <span class=\"italic\">x</span> and <span class=\"italic\">y</span> in the <span class=\"italic\">xy</span>-plane: <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5d9546145044d67f4c5d0648e8663a351f932cd21526a7309901dbb9e25d27fb\" alt=\"the point with coordinates 0 comma 0\"></span>, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9a19a4e5e5681b642441056d7d87fb301efaf391ed811a99a1b9d33a30b1b679\" alt=\"the point with coordinates 1 comma 1\"></span>, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a9cb7ee3748bf870a41aed97b641561621983fa1840d4c06ca731e5cc3c95531\" alt=\"the point with coordinates 2 comma 8\"></span>, and <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b25dd7f5bdea1c47e915e0c754357bfb314472997500ab6e4106c0230e25d052\" alt=\"the point with coordinates 3 comma 27\"></span>. Only the graph in choice B passes through the points listed in the table that are visible in the given choices.</p><p>Choices A, C, and D are incorrect. None of these graphs passes through the point <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9a19a4e5e5681b642441056d7d87fb301efaf391ed811a99a1b9d33a30b1b679\" alt=\"with coordinates 1 comma 1\"></span>.</p><p>&nbsp;</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.622000+00:00","source_updated_at":"2023-08-02T20:25:59.622000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">&nbsp;</p><p><img src=\"/api/assets/0bac8a2d1396b2ac6a40462216e3607421ddbc2aac006918a4a2b57ce25369a4\" alt=\"The answer choice presents the graph of a function in the x y plane. The origin is labeled O, and the numbers negative 4 and 4 are indicated on each axis. The graph of the function is a curve. It begins above the x axis and to the left of the y axis, moves downward and to the right, and extends below the x axis and to the right of the y axis. From left to right,  the curve moves downward, at first quickly, and passes through the point with coordinates, negative 1 comma 1. It then moves more slowly as it passes through the origin. After crossing the origin, the curve continues to move slowly downward, then more quickly, and passes through the point with coordinates, 1 comma negative 1. It then extends downward and to the right.\" width=\"116\" height=\"121\"></p><p>&nbsp;</p><p></p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">&nbsp;</p><p><img src=\"/api/assets/350beb51f2c763a9e36bfcc5f4c87e82bc1d9c871d916fb7d7bfcc4d0cbb2304\" alt=\"The answer choice presents the graph of a function in the x y plane. The origin is labeled O, and the numbers negative 4 and 4 are indicated on each axis. The graph of the function is a curve. It begins below the x axis and to the left of the y axis, moves upward and to the right, and extends above the x axis and to the right of the y axis. From left to right, the curve moves upward, at first quickly, passes through the point with coordinates, negative 1 comma negative 1, and then moves more slowly as it passes through the origin. After crossing the origin, the curve continues to move slowly upward, then more quickly as it passes through the point with coordinates, 1 comma 1. It then extends upward and to the right.\" width=\"116\" height=\"121\"></p><p>&nbsp;</p><p></p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">&nbsp;</p><p><img src=\"/api/assets/99379d4245d69eaf6fa640f65f1408ae401e978f55e0ffc9773a018832eb9eb2\" alt=\"The answer choice presents the graph of a function in the x y plane. The origin is labeled O, and the numbers negative 4 and 4 are indicated on each axis. The graph of the function is a curve. It begins below the x axis and to the left of the y axis, moves upward and to the right, and extends above the x axis and to the right of the y axis. From left to right, the curve moves upward, at first quickly, crosses the x axis at negative 1, and then moves more slowly as it crosses the y axis at 1. After crossing the y axis, the curve continues to move slowly upward, then moves more quickly as it passes through the point with coordinates, 1 comma 2. It then extends upward and to the right.\" width=\"116\" height=\"121\"></p><p>&nbsp;</p><p></p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">&nbsp;</p><p><img src=\"/api/assets/0e2d2c58d74f112f57f94b8790e85b2012e0f247f30256ac46c0732596c19767\" alt=\"The answer choice presents the graph of a function in the x y plane. The origin is labeled O, and the numbers negative 4 and 4 are indicated on each axis. The graph of the function is a curve. It begins below the x axis and to the left of the y axis, moves upward and to the right, and extends above the x axis and to the right of the y axis. From left to right, the curve moves upward, at first quickly, passes through the point with coordinates, negative 1 comma negative 3, and then moves more slowly as it passes through the origin. After crossing the origin, the curve continues to move slowly upward, then moves more quickly as it passes through the point with coordinates, 1 comma 3. It then extends upward and to the right.\" width=\"116\" height=\"121\"></p><p>&nbsp;</p><p></p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}