{"id":"cb_practice_pdf:t4-math-m2-q8","source_id":"cb_practice_pdf","source_item_id":"t4-math-m2-q8","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-4","module_number":2,"position":8,"stem":"h(x) = x^2 −3 Which table gives three values of xand their h(x) corresponding values of for the given function h?","stimulus":"","stimulus_html":null,"stem_html":"<p>h(x) = x^2 −3 Which table gives three values of xand their h(x) corresponding values of for the given function h?</p>","rationale_html":"<p>( ) =2 - Choice B is correct. It′s given that h x x 3. Each table gives 1, 2, and 3 as ( ) =2 - the three given values of x. Substituting 1 for x in the equation h x x 3 ( )=( )2 - =(-) yieldhs 1 1 3h, or 1 2. Substituting 2 for x in the equation ( ) =2 - ( )=( )2 - (=) h x x 3 yielhds 2 2 3, ohr 2 1. Finally, substituting 3 for x in the ( ) =2 - ( )=( )2 - (=) ( ) - equation h x x 3 yielhds 3 3 3, ohr 3 6. Therefore, h x is 2 ( ) ( ) when x is 1, h x is 1 when x is 2, and h x is 6 when x is 3. Choice B is a ( ) table with these values of x and their corresponding values of h x . ( ) = + Choice A is incorrect. This is a table of values for the function h x x 3, not ( ) =2 - h x x 3. Choice C is incorrect. This is a table of values for the function ( )= - ( ) =2 - h x x2 3, not h x x 3. Choice D is incorrect and may result from conceptual or calculation errors.</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>x 1 2 3 h(x) 4 5 6</p>","ord":0},{"label":"B","content_html":"<p>x 1 2 3 h(x) −2 1 6</p>","ord":1},{"label":"C","content_html":"<p>x 1 2 3 h(x) −1 1 3</p>","ord":2},{"label":"D","content_html":"<p>x 1 2 3 h(x) −2 1 3</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}}