{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"8f4f7bae-e680-521f-b42e-c7c6ea48bfbf","task_key":"intermediate~5falgebra--test--8f4f7bae-e680-521f-b42e-c7c6ea48bfbf","task_revision_id":"1","upstream_id":"","short_description":"Which of the following diagrams represent graphs of functions?","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"Which of the following diagrams represent graphs of functions?\\n\\n[asy]\\nunitsize(0.5 cm);\\n\\npicture[] graf;\\nint i, n;\\n\\nreal upperparab(real x) {\\n  return(sqrt(x + 2));\\n}\\n\\nreal lowerparab(real x) {\\n  return(-sqrt(x + 2));\\n}\\n\\nfor (n = 1; n <= 5; ++n) {\\n  graf[n] = new picture;\\n  for (i = -5; i <= 5; ++i) {\\n    draw(graf[n],(i,-5)--(i,5),gray(0.7));\\n    draw(graf[n],(-5,i)--(5,i),gray(0.7));\\n  }\\n  draw(graf[n],(-5,0)--(5,0),Arrows(6));\\n  draw(graf[n],(0,-5)--(0,5),Arrows(6));\\n\\n  label(graf[n],\\\"$x$\\\", (5,0), E);\\n  label(graf[n],\\\"$y$\\\", (0,5), N);\\n}\\n\\ndraw(graf[1],(-5,1)--(-2,-2)--(0,3)--(4,3),red);\\ndraw(graf[2],Circle((1,2),1.3),red);\\ndraw(graf[3],(-5,-5)--(5,5),red);\\ndraw(graf[3],(-5,5)--(5,-5),red);\\ndraw(graf[4],arc((-5,0),4,0,90),red);\\ndraw(graf[4],(-0,-2)--(3,3),red);\\ndraw(graf[5],graph(upperparab,-2,5),red);\\ndraw(graf[5],graph(lowerparab,-2,5),red);\\n\\nlabel(graf[1], \\\"A\\\", (0,-6));\\nlabel(graf[2], \\\"B\\\", (0,-6));\\nlabel(graf[3], \\\"C\\\", (0,-6));\\nlabel(graf[4], \\\"D\\\", (0,-6));\\nlabel(graf[5], \\\"E\\\", (0,-6));\\n\\nadd(graf[1]);\\nadd(shift((12,0))*(graf[2]));\\nadd(shift((24,0))*(graf[3]));\\nadd(shift((6,-12))*(graf[4]));\\nadd(shift((18,-12))*(graf[5]));\\n[/asy]\\n\\nEnter the letters of the diagrams that represent functions, separated by commas.\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}