{"id":"cb_practice_pdf:t7-math-m2-q7","source_id":"cb_practice_pdf","source_item_id":"t7-math-m2-q7","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":"spr","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-7","module_number":2,"position":7,"stem":" ^2 () = 5  −x  + The function f is defined by f x .  1/4  11/4      What is the value of f ?  1/4     ","stimulus":"","stimulus_html":null,"stem_html":"<p> ^2 () = 5  −x  + The function f is defined by f x .  1/4  11/4      What is the value of f ?  1/4     </p>","rationale_html":"<p>11 The correct answer is 4. It’s given that the function f is defined by =5 1 - 2 + 11 1 f`xj b 4 xl 4. Substituting 4 for x in this equation yields 1 =5 1 - 1 2 + 11 1 =5 0 2+ 11 1 = 11 fb 4 l b 4 4 l 4, which is equivalent f` 4 j ^ h 4, or fb 4 l 4. Therefore, 1 11 the value of fb 4 l is 4. Note that 11/4 or 2.75 are examples of ways to enter a correct answer.</p>","correct_answer":["4"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[],"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}}