{"id":"cb_practice_pdf:t10-math-m2-q18","source_id":"cb_practice_pdf","source_item_id":"t10-math-m2-q18","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-10","module_number":2,"position":18,"stem":"=^- −8 2^~ +22 The function f^-^-^- is defined by f ( x) ()()^x. = What is the y-intercept of the graph of y f(x) in the xy-plane? (0,14)","stimulus":"","stimulus_html":null,"stem_html":"<p>=^- −8 2^~ +22 The function f^-^-^- is defined by f ( x) ()()^x. = What is the y-intercept of the graph of y f(x) in the xy-plane? (0,14)</p>","rationale_html":"<p>= Choice A is correct. The y-intercept of the graph of y f^xh in the xy-plane = = occurs at the point on the graph where x 0. In other words, when x 0, the corresponding value of f^xh is the y-coordinate of the y-intercept. Substituting 0 0 = -8 2 0+22 for x in the given equation yields f^ h ^ h^ h , which is equivalent to 0 = -8 1 +22 0 =14 = f^ h ^ h^ h , or f^ h . Thus, when x 0, the corresponding value of 14 = f^xh is . Therefore, the y-intercept of the graph of y f^xh in the xy-plane is 0,14 ^ h. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. = -8 2 x Choice D is incorrect. This could be the y-intercept for f^xh ^ h^ h , not = -8 2 x+22 f^xh ^ h^ h .</p>","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>(0,2)</p>","ord":0},{"label":"B","content_html":"<p>(0,22)</p>","ord":1},{"label":"C","content_html":"<p>(0,−8)</p>","ord":2},{"label":"D","content_html":"","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}