{"id":"cb_question_bank:d7c533f2-7a4d-4545-b5c3-4add45aeb292","source_id":"cb_question_bank","source_item_id":"d7c533f2-7a4d-4545-b5c3-4add45aeb292","external_id":"a32cd185-f66c-43e0-b4ca-8c66da898744","ibn":null,"question_id":"50418728","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.C.","skill":"Nonlinear functions","difficulty":"E","score_band":3,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In quadrant 3, the curve rises to its maximum at point (0 comma negative 3). In quadrant 4, the curve then falls. The graph of the polynomial function f , where y equals f left parenthesis x right parenthesis , is shown. The y -intercept of the graph is left parenthesis 0 comma y right parenthesis . 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class=\"sr-only\"><ul>\n<li>In quadrant 3, the curve rises to its maximum at point (0 comma negative 3).</li>\n<li>In quadrant 4, the curve then falls.</li>\n</ul></div></figure><p></p>\n<p style=\"text-align: left;\">The graph of the polynomial function <math alttext=\"f\"><mi>f</mi>\n</math>, where <math alttext=\"y equals f left parenthesis x right parenthesis\"><mi>y</mi><mo>=</mo><mi>f</mi><mfenced><mi>x</mi></mfenced></math>, is shown. The <em>y</em>-intercept of the graph is <math alttext=\"left parenthesis 0 comma y right parenthesis\"><mfenced><mrow><mn>0</mn><mo>,</mo><mi>y</mi></mrow></mfenced></math>. What is the value of <math alttext=\"y\"><mi>y</mi>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is&nbsp;<math alttext=\"negative 3\"><mo>-</mo><mn>3</mn></math>. The <em>y</em>-intercept of the graph of a function in the <em>xy</em>-plane is the point where the graph crosses the <em>y</em>-axis. The graph of the&nbsp;polynomial function shown crosses the <em>y</em>-axis at the point <math alttext=\"left parenthesis 0 comma negative 3 right parenthesis\"><mfenced><mrow><mn>0</mn><mo>,</mo><mo>-</mo><mn>3</mn></mrow></mfenced></math>. It's given that the <em>y</em>-intercept of the graph is&nbsp;<math alttext=\"left parenthesis 0 comma y right parenthesis\"><mfenced><mrow><mn>0</mn><mo>,</mo><mi>y</mi></mrow></mfenced></math>. Thus, the value of <math alttext=\"y\"><mi>y</mi>\n</math> is <math alttext=\"negative 3\"><mo>-</mo><mn>3</mn></math>.</p>","correct_answer":["-3"],"has_media":true,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.828000+00:00","source_updated_at":"2023-08-02T20:25:59.828000+00:00","options":[],"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}}