[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523477-105":59,"doc-detail-523477-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","worksheets-piecewise-functions-precalculus-practice","Worksheets - Piecewise Functions - Precalculus Practice","","This document provides a set of practice exercises focused on piecewise functions, designed for students studying precalculus. It includes multiple problems requiring the sketching of graphs for various given piecewise function rules, as well as critical thinking questions that ask students to derive function rules based on descriptive conditions or visual representations. These materials are part of the Kuta Software Infinite Precalculus curriculum, serving as a structured resource for classroom assessment or individual student practice in algebraic graphing and functional analysis.",{"@graph":69,"@context":123},[70,84,106],{"@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/worksheets-piecewise-functions-precalculus-practice/523477/",{"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/worksheets-piecewise-functions-precalculus-practice/523477.png","ImageObject",300,407,{"name":92,"@type":93},"jayni","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the primary objective of this worksheet?","Question",{"text":113,"@type":114},"The primary objective is to practice sketching the graphs of various piecewise functions defined by different algebraic rules and intervals.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What are the critical thinking questions focused on?",{"text":118,"@type":114},"The critical thinking questions require students to derive or write the mathematical rules for specific functions, such as the sign function s(n) or functions shown via graphical representation.",{"name":120,"@type":111,"acceptedAnswer":121},"What software is used to generate these worksheets?",{"text":122,"@type":114},"These worksheets are generated using Kuta Software's Infinite Precalculus program.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},523477,1791526966,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},3985747859343,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Precalculus Piecewise Functions  \nSketch the graph of each function.  \n1) f (x) = {􀀐x􀀎􀀐􀀗  ,  \nx 􀁤 􀀕  \nx 􀀡 􀀕  \n􀀐􀀕 x, x 􀀟 􀀐􀀗  \n3) f (x) = { x,􀀕 , 􀁤􀀓x 􀁤 􀀓  \nName  Date  Period   \n2) f (x) = {􀀕􀀎, 􀀗 , 􀀕􀁴x 􀀟 􀀕  \n􀀐􀀗 , x 􀁤 􀀐􀀕  \n4) g(x) = { 􀀐(􀀎, 􀀔)􀀗 , xx 􀀟􀁴 􀀐􀀕􀀕  \n5) f (x) = {,~~ ~~􀀗~~ ~~ , xx 􀁤􀀡 􀀗􀀗  \nx   􀁤 􀀐􀀗􀀕 , x  \n7) w(x) ={, 􀀐􀀗 􀀟 x 􀀟 􀀕  \nx 􀀐 􀀕 , x 􀁴 􀀕  \nCritical thinking questions:  \n9) Write a rule for the sign function s(n) : s(n) is 􀀐􀀔 when n is negative, + 􀀔 when n is positive, and 􀀓 otherwise.  \n6) h(x) = {x,,  \nx 􀀟 􀀐􀀖  \nx 􀁴 􀀐􀀖  \nx 􀀐 􀀖  , x 􀀟 􀀔  \n8) w(x) = {(x  􀀔, ) 􀀗 , xx  􀀔􀀔  \n10) Write a rule for the function shown.  \nKuta Software-Infinite Precalculus Piecewise Functions  \nSketch the graph of each function.  \n1) f (x) = {􀀐x􀀎􀀐􀀗  ,  \nx 􀁤 􀀕  \nx 􀀡 􀀕  \n􀀐􀀕 x, x 􀀟 􀀐􀀗  \n3) f (x) = { x,􀀕 , 􀁤􀀓x 􀁤 􀀓  \nName  Date  Period   \n2) f (x) = {􀀕􀀎, 􀀗 , 􀀕􀁴x 􀀟 􀀕  \n􀀐􀀗 , x 􀁤 􀀐􀀕  \n4) g(x) = { 􀀐(􀀎, 􀀔)􀀗 , xx 􀀟􀁴 􀀐􀀕􀀕  \n5) f (x) = {,~~ ~~􀀗~~ ~~ , xx 􀁤􀀡 􀀗􀀗  \nx   􀁤 􀀐􀀗􀀕 , x  \n7) w(x) ={, 􀀐􀀗 􀀟 x 􀀟 􀀕  \nx 􀀐 􀀕 , x 􀁴 􀀕  \nCritical thinking questions:  \n9) Write a rule for the sign function s(n) : s(n) is 􀀐􀀔 when n is negative, + 􀀔 when n is positive, and 􀀓 otherwise.  \ns(n) = {,,􀀔 ,  \nn 􀀟 􀀓  \nn 􀀠 􀀓  \nn 􀀡 􀀓  \n6) h(x) = {x,,  \nx 􀀟 􀀐􀀖  \nx 􀁴 􀀐􀀖  \nx 􀀐 􀀖  , x 􀀟 􀀔  \n8) w(x) = {(x  􀀔, ) 􀀗 , xx  􀀔􀀔  \n10) Write a rule for the function shown.  \n􀀕 , x 􀀟 􀀐􀀗  \nf (x) = { , x 􀀟 􀀕  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiahN9MJ28Ksl","https://ap.wps.com/l/cbCaiahN9MJ28Ksl","pdf",52006,"English","# Graphing Piecewise Functions\n## Critical Thinking Questions","[{\"question\":\"What is the primary objective of this worksheet?\",\"answer\":\"The primary objective is to practice sketching the graphs of various piecewise functions defined by different algebraic rules and intervals.\"},{\"question\":\"What are the critical thinking questions focused on?\",\"answer\":\"The critical thinking questions require students to derive or write the mathematical rules for specific functions, such as the sign function s(n) or functions shown via graphical representation.\"},{\"question\":\"What software is used to generate these worksheets?\",\"answer\":\"These worksheets are generated using Kuta Software's Infinite Precalculus program.\"}]","Worksheets - Piecewise Functions - Precalculus Practice | PDF",1791426900]