{"id":"cb_practice_pdf:t11-math-m1-q23","source_id":"cb_practice_pdf","source_item_id":"t11-math-m1-q23","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":null,"form_id":"cb_practice_pdf:test-11","module_number":1,"position":23,"stem":"23 y 10 8 6 4 2 x ‒1 O 1 2 3 4 5 ‒2 ‒4 = + The graph of y f x 4 is shown. Which ^ h equation defines function f? = - +","stimulus":"","stimulus_html":null,"stem_html":"<p>23 y 10 8 6 4 2 x ‒1 O 1 2 3 4 5 ‒2 ‒4 = + The graph of y f x 4 is shown. Which ^ h equation defines function f? = - +</p>","rationale_html":"<p>= + Choice B is correct. The graph of y f^xh 4 is shown, and the graph passes 0,8 through the point ^ h. Substituting 0 for x and 8 for y in this equation yields 8= 0 +4 4= 0 f^ h . Subtracting 4 from both sides of this equation yields f^ h. = Therefore, when x 0, the value of f^xh is 4. Each of the given choices is in the =- x+ form f^xh 3 k, where k is a constant. Substituting 0 for x and 4 for f^xh in 4=-30+ 4=-1+ this equation yields k, or k. Adding 1 to both sides of this = =- x+ equation yields 5 k. Substituting 5 for k in the equation f^xh 3 k yields =-3 x+5 f^xh . Choice A is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors. 40 SAT PRACTICE TEST #11 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>f x 3^x 1 ^ h</p>","ord":0},{"label":"B","content_html":"<p>f x = - 3^x + 5 ^ h = - +</p>","ord":1},{"label":"C","content_html":"<p>f x 3^x 8 ^ h = - +</p>","ord":2},{"label":"D","content_html":"<p>f x 3^x 9 ^ h</p>","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}}