[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-464432-105":59,"doc-detail-464432-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","chapter-2-practice-test-solve-graph-and-function-operations","Chapter 2 Practice Test - Solve, Graph, and Function Operations","","Chapter 2 practice test covering prealgebra and precalculus skills for equations, functions, and graphs. Students solve algebraic equations, determine when formulas define y as a function of x, and classify graphs as functions. It also assesses domain finding, interval analysis for increasing/decreasing/constant behavior, and identification of even/odd functions. Additional problems include discontinuity testing, asymptotes, matching equations to graphs, graphing piecewise functions, performing function operations (sum, difference, product, quotient, and composition), and transformation-based equation writing. An answer key is included.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/chapter-2-practice-test-solve-graph-and-function-operations/464432/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/chapter-2-practice-test-solve-graph-and-function-operations/464432.png","ImageObject",300,407,{"name":92,"@type":93},"Stanley","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How does the test check whether a formula determines y as a function of x?","Question",{"text":112,"@type":113},"It includes problems asking students to decide whether each given equation/relationship defines y uniquely for every x. Answers are provided in the answer key as yes/no or equivalent classifications.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What topics about function behavior are included?",{"text":117,"@type":113},"The test asks for domains, and it also asks students to identify intervals where a function is increasing, decreasing, or constant, as well as whether a function is even, odd, or neither.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the test include transformations and function operations?",{"text":121,"@type":113},"Yes. It includes graph transformation tasks (reflect, stretch, shift), composition (like f(g(x))), and arithmetic operations on functions such as (f+g)(x), f-g, fg, and f/g.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},464432,1790825638,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":39,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":46},2336477405376,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Exam  \nName   \nChapter 2 Practice Test  \nSolve the equation algebraically.  \n1) v2 + 2 = 8-4v2 1)    \n2) x(x-2) = 48 2)    \nDetermine whether the formula determines y as a function of x.  \n3) y = 9x + 1 3)    \n4) y2 = (x-7)(x + 7) 4)    \nDetermine whether the graph is the graph of a function.  \n5) 5)    \n6) 6)    \nFind the domain of the given function.  \n7) f(x) = 9-x 7)    \n8) f(x) = ~~ ~~x2~~ ~~~~ ~~3x~~ ~~ 8) ~~ ~~  \nSolve the problem.  \n9) Use the graph of f to estimate the local maximum and local minimum.  \n9)  \nDetermine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is removable or non-removable.  \n10) f(x) = ~~ ~~1x~~ ~~ 10)    \nx2-4x  \n11) g(x) = 11)   x  \nDetermine the intervals on which the function is increasing, decreasing, and constant.  \n12) 12)    \nIdentify intervals on which the function is increasing, decreasing, or constant.  \n13) g(x) = 2- (x-7)2 13)    \n14) Create a graph that has the following characteristics; Increasing: (2, ∞); decreasing: (-∞, 4); constant: (2, 4)  \n14)  \n\n| | \u003Cbr>y |  |\n| --- | --- | --- |\n| \u003Cbr>-10 -9 -8 -7 -6 -5 -4 -3 -2 -1\u003Cbr>-1\u003Cbr>-2 \u003Cbr>-3 \u003Cbr>-4 \u003Cbr>-5 \u003Cbr>-6 \u003Cbr>-7 \u003Cbr>| \u003Cbr>1 2 3 4 5 6 7 8 9 10 x |  |\n\nDetermine algebraically whether the function is even, odd, or neither even nor odd.  \n15) f(x) = 3x2-1 15)    \n16) f(x) = -9x3 + 8x 16)    \n17) f(x) = -9x4 + 5x + 3 17)    \nFind the asymptote(s) of the given function.  \n18) h(x) = ~~ ~~(x-x32)-(x1+~~ ~~1) vertical asymptotes(s) 18) ~~ ~~  \n x-1   \n19) f(x) = vertical asymptotes(s) 19)   x2 + 2  \nMatch the equation with the appropriate graph.  \n 6   \n20) f(x) =  \nx2-1  \nA) B)  y   \n 8   \n-8  \n8  \nx  \n-8  \n -8    \nC)  D)  \ny  \n8    \n-8  \n8  \nx  \n-8  \n-8   \nMatch the function with the graph. 21)  \nGraph the piecewise-defined function.  \nPerform the requested operation or operations. Find the domain of each.  \n23) f(x) = 4x + 7, g(x) = 3x2 Find (f + g)(x) .  \n24) f(x) = x + 2; g(x) = cos x Find f-g.  \n25) f(x) = x + 4 and g(x) = | x-2 | Find fg.  \n26) f(x) = 3x + 2; g(x) = 3x-5 Find f/g.  \nPerform the requested operation or operations.  \n27) f(x) = x + 6; g(x) = 8x-10  \nFind f(g(x)) .  \nFind f(x) and g(x) so that the function can be described as y = f(g(x)).  \n 3   \n28) y =  \n3x + 4  \n29) y = (8x + 18)8  \nGive the equation of the function g whose graph is described.  \n30) The graph of f(x) = ∣x∣ is reflected across the y-axis. This graph is then vertically stretched by a factor of 5.5. Finally, the graph is shifted 5 units downward.  \n22)  \n23)  \n24)  \n25)  \n26)  \n27)  \n28)  \n29)  \n30)  \n\n|  |\n| --- |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n\nFill in the blanks to complete the statement.  \n31) The graph of y = 0.1∣-x∣ -9 can be obtained from the graph of y = ∣x∣ by reflecting across the  ?  -axis, shrinking vertically by a factor of  ? , and then shifting vertically  ?  units in the?  direction.  \nSolve the problem.  \n32) In a chemistry class, 7 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?  \n31)  \n32)  \nAnswer Key  \nTestname: CHAPTER ONE PRECALCULUS PRACTICE TEST  \n1) ± 65  \n2) -6; 8  \n3) Yes  \n4) No  \n5) No  \n6) Yes  \n7) (-∞, 9]  \n8) (-∞, -3) ∪ (-3, 0) ∪ (0, ∞)  \n9) Local maximum: 0; local minimum: -4 10)  \n11)  \n12) Increasing on (-2, 0) and (3, 5); Decreasing on (1, 3); Constant on (-5, -2)  \n13) Increasing: (-∞, 7); decreasing: (7, ∞) 14)  \n15) Even  \n16) Odd  \n17) Neither  \n18) x = 1, x = -1  \n19) None  \nAnswer Key  \nTestname: CHAPTER ONE PRECALCULUS PRACTICE TEST  \n20) C  \n21) C 22)  \n23) 4x + 7 + 3x2; domain: (-∞, ∞)  \n24) x + 2-cos x; domain: [-2, ∞)  \n25) | x-2 | x + 4; domain: (-4, ∞)  3x + 2   5  \n26) (f/g)(x) = ; domain {x|x ≠ } 3x-5 3  \n27) f(g(x)) = 2 2x-1  \n28) f(x) = ~~ ~~3x~~ ~~, g(x) = 3x + 4  \n29) f(x) = x8, g(x) = 8x + 18  \n30) g(x) = 5.5∣-x∣ -5  \n31) y; 0.1; 9; downward  \n32) 3.5 L","cbCairitg92vArSv","https://ap.wps.com/l/cbCairitg92vArSv","pdf",168833,"English","# Chapter 2 Practice Test\n## Solve and analyze equations\n## Determine functions, domains, and intervals\n## Graphing, discontinuities, and asymptotes\n## Function operations and transformations\n## Fill-in-the-blanks and application problems\n## Answer Key","[{\"question\":\"How does the test check whether a formula determines y as a function of x?\",\"answer\":\"It includes problems asking students to decide whether each given equation/relationship defines y uniquely for every x. Answers are provided in the answer key as yes/no or equivalent classifications.\"},{\"question\":\"What topics about function behavior are included?\",\"answer\":\"The test asks for domains, and it also asks students to identify intervals where a function is increasing, decreasing, or constant, as well as whether a function is even, odd, or neither.\"},{\"question\":\"Does the test include transformations and function operations?\",\"answer\":\"Yes. It includes graph transformation tasks (reflect, stretch, shift), composition (like f(g(x))), and arithmetic operations on functions such as (f+g)(x), f-g, fg, and f/g.\"}]","Chapter 2 Practice Test - Solve, Graph, and Function Operations | PDF",1790768191]