[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523476-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-523476-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","power-functions-power-functions","Power Functions - Power Functions","","Worksheets from Infinite Precalculus on power functions. Students analyze several given functions by identifying the power and the constant of variation, then determining key graph features including domain and range, x- and y-intercepts, end behavior, continuity, and where the function is increasing or decreasing. Some problems also require evaluating limits and locating infinite discontinuities for rational power expressions. Answers are organized by function number with interval notation for each characteristic.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/power-functions-power-functions/523476/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/power-functions-power-functions/523476.png","ImageObject",300,407,{"name":42,"@type":43},"jayni","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you determine the power and constant of variation for a power function?","Question",{"text":63,"@type":64},"Identify the exponent as the power and the coefficient multiplying x^n as the constant of variation.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What domain and range information is needed for each function?",{"text":68,"@type":64},"Each problem requires the set of allowed x-values (domain) and the resulting y-values (range), often written with interval or union notation.",{"name":70,"@type":61,"acceptedAnswer":71},"How are continuity and increasing/decreasing intervals found?",{"text":72,"@type":64},"Use limit behavior to check continuity and then determine which intervals the graph rises or falls, with special attention to infinite discontinuities.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},523476,1791535960,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":96,"preview_page_count":4},3985747859343,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Precalculus Name   \nPower Functions Date  Period   \nConsider each power function. Determine the power and constant of variation.  \n1) f (x) 􀀠 􀀙x ~~ ~~􀀖􀀚~~ ~~ 2) f (x) 􀀠 􀀘x􀀐􀀙  \n 􀀔   􀀘   \n3) f (x) 􀀠 􀀛 x 􀀐 􀀖 4) f (x) 􀀠 􀀕x 􀀚  \nConsider each power function. Determine the domain and range, intercepts, end behavior, continuity, and regions of increase and decrease.  \n5) f (x) 􀀠 􀀙x 􀀕  \n7) f (x) 􀀠 􀀘x􀀐􀀗  \n6) f (x) 􀀠 􀀗x 􀀐􀀗  \n􀀗  8) f (x) 􀀠 􀀛 x 􀀐 􀀖  \nKuta Software-Infinite Precalculus Name   \nPower Functions Date  Period   \nConsider each power function. Determine the power and constant of variation.  \n 􀀖   \n1) f (x) 􀀠 􀀙x 􀀚  \nPower: ~~ ~~􀀖􀀚 Constant: 􀀙  \n 􀀔   \n3) f (x) 􀀠 􀀛 x 􀀐 􀀖  \nPower: 􀀐 ~~ ~~􀀔􀀖 Constant: 􀀛  \n2) f (x) 􀀠 􀀘x􀀐􀀙  \nPower: 􀀐􀀙 Constant: 􀀘  \n􀀘  \n4) f (x) 􀀠 􀀕x  􀀚  \nPower: ~~ ~~􀀘􀀚 Constant: 􀀕  \nConsider each power function. Determine the domain and range, intercepts, end behavior, continuity, and regions of increase and decrease.  \n5) f (x) 􀀠 􀀙x 􀀕  \nDomain: (􀀐􀁦 , 􀁦)  \nRange: [􀀓 , 􀁦)  \nx-intercept: 􀀓 y-intercept: 􀀓 lim f (x) 􀀠 􀁦 lim f (x) 􀀠 􀁦 􀀐􀁦ntinuous on 􀁦􀁦, 􀁦)  \nIncreasing: (􀀓 , 􀁦)  \nDecreasing: (􀀐􀁦 , 􀀓)  \n7) f (x) 􀀠 􀀘x􀀐􀀗  \nDomain: (􀀐􀁦 , 􀀓) ∪(􀀓 , 􀁦)  \nRange: (􀀓 , 􀁦) No intercepts  \nlim f (x) 􀀠 􀀓 lim f (x) 􀀠 􀀓  \nx􀁯 􀀐􀁦 x􀁯 􀁦  \nInfinite discontinuity at x 􀀠 􀀓 Increasing: (􀀐􀁦 , 􀀓)  \nDecreasing: (􀀓 , 􀁦)  \n6) f (x) 􀀠 􀀗x 􀀐􀀗  \nDomain: (􀀐􀁦 , 􀀓) ∪(􀀓 , 􀁦)  \nRange: (􀀓 , 􀁦) No intercepts  \nlim f (x) 􀀠 􀀓 lim f (x) 􀀠 􀀓  \nx􀁯 􀀐􀁦 x􀁯 􀁦  \nInfinite discontinuity at x 􀀠 􀀓 Increasing: (􀀐􀁦 , 􀀓)  \nDecreasing: (􀀓 , 􀁦)  \n􀀗   \n8) f (x) 􀀠 􀀛 x 􀀐 􀀖  \nDomain: (􀀐􀁦 , 􀀓) ∪(􀀓 , 􀁦)  \nRange: (􀀓 , 􀁦) No intercepts  \nlim f (x) 􀀠 􀀓 lim f (x) 􀀠 􀀓  \nx􀁯 􀀐􀁦 x􀁯 􀁦  \nInfinite discontinuity at x 􀀠 􀀓 Increasing: (􀀐􀁦 , 􀀓)  \nDecreasing: (􀀓 , 􀁦)  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiqS75U77hJ9j","https://ap.wps.com/l/cbCaiqS75U77hJ9j","pdf",53131,"English","# Determine Power and Constant of Variation\n# Determine Domain, Range, Intercepts, and Behavior\n## Function Set 1-4\n## Function Set 5-8","[{\"question\":\"How do you determine the power and constant of variation for a power function?\",\"answer\":\"Identify the exponent as the power and the coefficient multiplying x^n as the constant of variation.\"},{\"question\":\"What domain and range information is needed for each function?\",\"answer\":\"Each problem requires the set of allowed x-values (domain) and the resulting y-values (range), often written with interval or union notation.\"},{\"question\":\"How are continuity and increasing/decreasing intervals found?\",\"answer\":\"Use limit behavior to check continuity and then determine which intervals the graph rises or falls, with special attention to infinite discontinuities.\"}]","Power Functions - Power Functions | PDF",1791426900]