{"id":"cb_question_bank:111be8a0-df80-4546-bee9-1b4776306b38","source_id":"cb_question_bank","source_item_id":"111be8a0-df80-4546-bee9-1b4776306b38","external_id":"37ced69c-527a-4d31-a90e-19a862272659","ibn":null,"question_id":"6abec9a8","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":"Moving from left to right: The curve passes from quadrant 3 to quadrant 4. In quadrant 3, the curve trends up sharply to point (0 comma negative 5). In quadrant 4, the curve trends up gradually. As x increases, the curve approaches the line y equals negative 4. 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right:\n<ul>\n<li>The curve passes from quadrant 3 to quadrant 4.</li>\n<li>In quadrant 3, the curve trends up sharply to point (0 comma negative 5).</li>\n<li>In quadrant 4, the curve trends up gradually.</li>\n</ul>\n</li>\n<li>As x increases, the curve approaches the line y equals negative 4.</li>\n<li>The curve passes through the following points:\n<ul>\n<li>(negative 1 comma negative 9)</li>\n<li>(0 comma negative 5)</li>\n<li>(1 comma negative 4.2)</li>\n</ul>\n</li>\n</ul></div></figure><p></p>\n<p style=\"text-align: left;\">What is the <math alttext=\"y\"><mi>y</mi>\n</math>-intercept of the graph shown?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. The <em>y</em>-intercept of a graph in the <em>xy</em>-plane is the point&nbsp;<math alttext=\"left parenthesis x comma y right parenthesis\"><mfenced><mrow><mi>x</mi><mo>,</mo><mi>y</mi></mrow></mfenced></math> on the graph where <math alttext=\"x equals 0\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mn>0</mn>\n</mrow>\n</math>. At <math alttext=\"x equals 0\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mn>0</mn>\n</mrow>\n</math>, the corresponding value of <math alttext=\"y\"><mi>y</mi>\n</math> is <math alttext=\"negative 5\"><mo>-</mo><mn>5</mn>\n</math>. Therefore, the <em>y</em>-intercept of the graph shown&nbsp;is <math alttext=\"left parenthesis 0 comma negative 5 right parenthesis\"><mfenced><mrow><mn>0</mn><mo>,</mo><mo>-</mo><mn>5</mn></mrow></mfenced></math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual errors.</p>\n<p>Choice C is incorrect. This is the <em>y</em>-intercept of a graph in the <em>xy</em>-plane that intersects the <em>y</em>-axis at <math alttext=\"y equals negative 4\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mo>-</mo><mn>4</mn>\n</mrow>\n</math>, not <math alttext=\"y equals negative 5\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mo>-</mo><mn>5</mn>\n</mrow>\n</math>.</p>\n<p>Choice D is incorrect. This is the <em>y</em>-intercept of a graph in the <em>xy</em>-plane that intersects the <em>y</em>-axis at <math alttext=\"y equals 0\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mn>0</mn>\n</mrow>\n</math>, not <math alttext=\"y equals negative 5\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mo>-</mo><mn>5</mn>\n</mrow>\n</math>.</p>","correct_answer":["B"],"has_media":true,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.827000+00:00","source_updated_at":"2023-08-02T20:25:59.827000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"left parenthesis negative 1 comma negative 9 right parenthesis\"><mfenced><mrow><mo>-</mo><mn>1</mn><mo>,</mo><mrow><mo>-</mo><mn>9</mn></mrow></mrow></mfenced></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"left parenthesis 0 comma negative 5 right parenthesis\"><mfenced><mrow><mn>0</mn><mo>,</mo><mrow><mo>-</mo><mn>5</mn></mrow></mrow></mfenced></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"left parenthesis 0 comma negative 4 right parenthesis\"><mfenced><mrow><mn>0</mn><mo>,</mo><mo>-</mo><mrow><mn>4</mn></mrow></mrow></mfenced></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"left parenthesis 0 comma 0 right parenthesis\"><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced></math></p>","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}}