[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523507-105":59,"doc-detail-523507-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","graphing-logarithms-precalculus-worksheet","Graphing Logarithms - Precalculus Worksheet","","This document provides a set of practice exercises for students studying precalculus, specifically focusing on the graphing of logarithmic functions. The worksheet includes twelve problems that require students to sketch the graphs of various logarithmic expressions, identify their domains and ranges, and understand the impact of transformations on these functions. Designed as a learning assessment tool, the content serves as a structured resource for classroom practice or homework assignments to reinforce key concepts in algebra and calculus preparation.",{"@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/graphing-logarithms-precalculus-worksheet/523507/",{"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/graphing-logarithms-precalculus-worksheet/523507.png","ImageObject",300,407,{"name":92,"@type":93},"RuangKosong","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the domain of a logarithmic function represent in these exercises?","Question",{"text":112,"@type":113},"The domain represents the set of all possible input values (x-values) for which the logarithmic function is defined, which is determined by ensuring the argument of the logarithm remains positive.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the common range for these logarithmic functions?",{"text":117,"@type":113},"As indicated in the provided solutions, the range for all these standard logarithmic functions is the set of all real numbers.",{"name":119,"@type":110,"acceptedAnswer":120},"How are transformations applied to the parent logarithmic function in these problems?",{"text":121,"@type":113},"Transformations are applied through horizontal shifts, vertical shifts, and internal coefficient changes within the logarithm argument, which alter the position and shape of the graph on the coordinate plane.","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},523507,1791504013,{"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":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},962090883219,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Precalculus Graphing Logarithms  \nSketch the graph of each function.  \n1) y 􀀠 log (x 􀀎 􀀘 )  \n3) y 􀀠 log (x 􀀎 􀀗) 􀀐 􀀘  \nName  Date  Period   \n2) y 􀀠 log (x 􀀐 􀀕) 􀀐 􀀗  \n4) y 􀀠 log (x 􀀎 􀀔) 􀀐 􀀔  \nIdentify the domain and range of each. Then sketch the graph.  \n7) y 􀀠 log 􀀗 (x 􀀐 􀀔) 􀀐 􀀕  \n9) y 􀀠 log 􀀕 (􀀗x 􀀎 􀀔􀀙) 􀀐 􀀕  \n11) y 􀀠 log 􀀕 (􀀕x 􀀐 􀀔) 􀀐 􀀗  \n8) y 􀀠 log 􀀖 (x 􀀎 􀀙) 􀀎 􀀕  \n10) y 􀀠 log (􀀖x 􀀐 􀀗) 􀀐 􀀗  \n12) y 􀀠 log 􀀕 (􀀗x 􀀐 􀀛)  \nKuta Software-Infinite Precalculus Graphing Logarithms  \nSketch the graph of each function.  \n1) y 􀀠 log (x 􀀎 􀀘 )  \n3) y 􀀠 log (x 􀀎 􀀗) 􀀐 􀀘  \nName  Date  Period   \n2) y 􀀠 log (x 􀀐 􀀕) 􀀐 􀀗  \n4) y 􀀠 log (x 􀀎 􀀔) 􀀐 􀀔  \nIdentify the domain and range of each. Then sketch the graph.  \n5) y 􀀠 log 􀀖 (x 􀀐 􀀔) 􀀐 􀀖  \nDomain: x 􀀡 􀀔  \nRange: All reals  \n6) y 􀀠 log  􀀔 (x 􀀎 􀀗)􀀖  \nDomain: x 􀀡 􀀐􀀗  \nRange: All reals  \n7) y 􀀠 log 􀀗 (x 􀀐 􀀔) 􀀐 􀀕  \nDomain: x 􀀡 􀀔  \nRange: All reals  \n9) y 􀀠 log 􀀕 (􀀗x 􀀎 􀀔􀀙) 􀀐 􀀕  \nDomain: x 􀀡 􀀐􀀗  \nRange: All reals  \n11) y 􀀠 log 􀀕 (􀀕x 􀀐 􀀔) 􀀐 􀀗  \n8) y 􀀠 log 􀀖 (x 􀀎 􀀙) 􀀎 􀀕  \nDomain: x 􀀡 􀀐􀀙  \nRange: All reals  \n10) y 􀀠 log (􀀖x 􀀐 􀀗) 􀀐 􀀗  \n12) y 􀀠 log 􀀕 (􀀗x 􀀐 􀀛)  \nDomain: x 􀀡 􀀕  \nRange: All reals  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaihmvKYZYsN8g","https://ap.wps.com/l/cbCaihmvKYZYsN8g","pdf",50979,"English","# Graphing Logarithmic Functions\n## Problem Set: Graphing Functions\n## Domain and Range Identification","[{\"question\":\"What does the domain of a logarithmic function represent in these exercises?\",\"answer\":\"The domain represents the set of all possible input values (x-values) for which the logarithmic function is defined, which is determined by ensuring the argument of the logarithm remains positive.\"},{\"question\":\"What is the common range for these logarithmic functions?\",\"answer\":\"As indicated in the provided solutions, the range for all these standard logarithmic functions is the set of all real numbers.\"},{\"question\":\"How are transformations applied to the parent logarithmic function in these problems?\",\"answer\":\"Transformations are applied through horizontal shifts, vertical shifts, and internal coefficient changes within the logarithm argument, which alter the position and shape of the graph on the coordinate plane.\"}]","Graphing Logarithms - Precalculus Worksheet | PDF",1791426934]