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Problems cover even/odd classification, end behavior and numerical support, average rate of change on intervals, and identifying critical points. Additional items require graph-based and algebraic intercept calculations, function transformations, function composition, and determining whether functions have inverses with domain restrictions.",{"@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/unit-1-test-functions-and-relations/434870/",{"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/unit-1-test-functions-and-relations/434870.png","ImageObject",300,407,{"name":92,"@type":93},"pixelkiddo","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-16","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine the domain of a function in this test?","Question",{"text":112,"@type":113},"Write the domain in interval notation based on where the function is defined. Use the form of the function or given graph/table information to restrict any invalid inputs.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What tasks relate to intercepts in Unit 1?",{"text":117,"@type":113},"The test asks for the x-intercept and y-intercept using graphs to approximate them, then finding the intercepts algebraically by solving for where x=0 or y=0.",{"name":119,"@type":110,"acceptedAnswer":120},"When does a function have an inverse function, and what restrictions might apply?",{"text":121,"@type":113},"A function has an inverse only when it meets the test’s conditions, typically related to one-to-one behavior. If restrictions are needed, state them as limits on the domain (and implicitly the range of the inverse).","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},434870,1791447164,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":52,"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":144},962090883892,"https://ap-avatar.wpscdn.com/avatar/e00115db34f3e0f11b?x-image-process=image/resize,m_fixed,w_180,h_180&k=1790152879550218658","Name:   Period:   Date:    \nUnit 1 TEST Functions and Relations  \nEvaluate each function.  \n1.  \n􀀣 􀀢 =  \n􀀥􀀢􀀥 − 􀀧􀀨  \n􀀢 − 􀀧􀀩  \n2.  \n􀀣 􀀩  =?  \nState the domain of each function. Write in interval notation.  \n3.  \n􀀭 􀀢 =  \n􀀢􀀥  \n􀀢 − 􀀮  \n4.  \n􀀢􀀥 + 􀀥􀀢 − 􀀥  \n􀀣 􀀢 = ~~   ~~ 􀀣 􀀥  =? 􀀢􀀥 − 􀀥  \n􀀯 􀀢 = 􀀢􀀢~~ ~~−~~ ~~􀀧􀀥􀀰  \nUse the graph of each function to approximate its 􀀡 –intercept and 􀀢 –intercept. Then find the 􀀡 –intercept and 􀀢 – intercept algebraically.  \n5. 􀀣 􀀢 = −􀀥􀀢􀀥 + 􀀢 + 􀀰  \nCopyright © PreCalculusCoach.com 1  \nName:   Period:   Date:    \nUnit 1 TEST Functions and Relations  \nDetermine whether the following are even, odd, or neither.  \n6. 􀀣 􀀢 = 􀀩􀀢􀀰 − 􀀱􀀢􀀥 + 􀀱 7. 􀀯 􀀢 = 􀀢􀀲 − 􀀢􀀱 + 􀀥  \nUse the graph of the function to describe its end behavior. Support the conjecture numerically.  \n8. 􀀣 􀀢 = 􀀢 􀀰 + 􀀰  \nFind the average rate of change of each function on the given interval.  \n9. 􀀣 􀀢 = 􀀰~~ ~~􀀢􀀢􀀱􀀧~~ ~~ 􀀨; −􀀧 10. 􀀣 􀀢 = 􀀢 􀀰 + 􀀥􀀢 − 􀀧 −􀀧; 􀀧   \nCopyright © PreCalculusCoach.com  \n2  \nName:   Period:   Date:    \nUnit 1 TEST Functions and Relations  \nApproximate the critical points of each function.  \n11. 12.  \nGiven the parent function and a description of the transformation, write the equation of the transformed function 􀀣􀀢 .  \n13. Square Root Function  \nReflected in the x-axis  \nTranslated 10 units up  \n14. Absolute value  \nTranslated 2 units up  \nTranslated 3 units left  \nUse the graph of parent function to graph the function. Find the domain and the range of the new function.  \n15. 􀀯 􀀢 = − 􀀢 − 􀀧 􀀥 + 􀀥  \nCopyright © PreCalculusCoach.com  \n3  \nName:   Period:   Date:    \nUnit 1 TEST Functions and Relations  \n16. Find each function value.  \nThe tables give some selected ordered pairs for functions 􀀣 and 􀀭  \n\n| 􀀢 | −􀀧 | 􀀨 | 􀀥 | 􀀰 |\n| --- | --- | --- | --- | --- |\n| 􀀭 􀀢 | 􀀧 | 􀀨 | 􀀱 | 􀀴 |\n\n􀀣 ∘ 􀀭 􀀥  =?  \n􀀭 ∘ 􀀣􀀥  =?  \n17. 􀀥 + 􀀢 􀀧  \n􀀣 􀀢 =  􀀲  􀀭 􀀢 = 􀀢 􀀣 ∘ 􀀭 􀀥  =? 􀀶􀀣∘􀀭 =?  \n18.  \n\n| 􀀢 | 􀀥 | 􀀱 | 􀀲 | 􀀴 |\n| --- | --- | --- | --- | --- |\n| 􀀣 􀀢 | 􀀰 | 􀀩 | 􀀮 | 􀀧􀀨 |\n\n􀀣 􀀢 = 􀀢􀀥~~ ~~~~ ~~􀀧~~ ~~ 􀀭 􀀢 = 􀀢 + 􀀥 􀀭 ∘ 􀀣􀀧  =? 􀀶 􀀭∘􀀣 =?  \nShow algebraically that 􀀣 and 􀀭 are inverse functions.  \n19. 􀀢 + 􀀰  \n􀀣 􀀢 = 􀀥􀀢 − 􀀰 􀀭 􀀢 =  􀀥   \nCopyright © PreCalculusCoach.com  \n4  \nName:   Period:   Date:    \nUnit 1 TEST Functions and Relations  \nDetermine whether each function has an inverse function. If it does, find the inverse function and state any restrictions on its domain.  \n20. 􀀢 + 􀀧  \n􀀣 􀀢 = 􀀢 − 􀀥  \nCopyright © PreCalculusCoach.com  \n5  \nName:   Period:   Date:    \nUnit 1 TEST Functions and Relations  \nANSWERS  \nUse the graph of each function to approximate its 􀀡 –intercept and 􀀢 –intercept. Then find the 􀀡 –intercept and 􀀢 – intercept algebraically.  \n5. 􀀣 􀀢 = −􀀥􀀢􀀥 + 􀀢 + 􀀰  \n􀀡 –intercept 􀁃􀁄􀀻􀁅􀀯􀀼􀁆􀀻􀁇􀁇􀀡  \n􀀣 􀀢 = −􀀥􀀢􀀥 + 􀀢 + 􀀰 􀀡 – 􀁉􀁊􀁋􀁌􀁍􀁎􀁌􀁏􀁋 = 􀀰  \n􀁐􀁇􀀭􀁑􀁒􀁄􀀻􀀼􀁆􀀻􀁇􀁇􀀡 􀀡 -intercept occurs where 􀀢 = 􀀨 .  \n􀀣 􀀨  = −􀀥 ∗ 􀀨􀀥 + 􀀨 + 􀀰  \n􀀣 􀀨  = 􀀰 􀀡 – 􀁉􀁊􀁋􀁌􀁍􀁎􀁌􀁏􀁋 = 􀀰  \n􀀢 –intercept 􀁃􀁄􀀻􀁅􀀯􀀼􀁆􀀻􀁇􀁇􀀡  \n􀀢 − 􀁉􀁊􀁋􀁌􀁍􀁎􀁌􀁏􀁋􀁓  − 􀀧 , 􀀻􀀽􀁔 􀀧 . 􀀩  \n􀁐􀁇􀀭􀁑􀁒􀁄􀀻􀀼􀁆􀀻􀁇􀁇􀀡  \n􀀣 􀀢 = 􀀨  \n−􀀥􀀢􀀥 + 􀀢 + 􀀰 = 􀀨􀀥 (􀀢 + 􀀧)􀀢 − 􀀧 . 􀀩  = 􀀨  \n􀀢 = −􀀧 􀀻􀀽􀁔 􀀢 = 􀀧 . 􀀩  \n􀁖􀀯􀁑 􀁗􀁑􀁄􀀹􀁘 􀀹􀀣 􀀣 􀀻􀁄􀁑  − 􀀧 􀀻􀀽􀁔 􀀧 . 􀀩  \nCopyright © PreCalculusCoach.com  \n6  \nName:   Period:   Date:    \nUnit 1 TEST Functions and Relations  \nDetermine whether the following are even, odd, or neither.  \n6. 􀀣 􀀢 = 􀀩􀀢􀀰 − 􀀱􀀢􀀥 + 􀀱  \n􀀣 −􀀢 = 􀀩 −􀀢 􀀰 − 􀀱 −􀀢􀀥 + 􀀱  \n􀀣 −􀀢 = −􀀩􀀢􀀰 − 􀀱􀀢􀀥 + 􀀱  \n􀀣 −􀀢 ≠ −􀀣􀀢 􀀣 −􀀢 ≠ 􀀣 􀀢  \nThe function is neither  \n7. 􀀯 􀀢 = 􀀢􀀲 − 􀀢􀀱 + 􀀥  \n􀀯 −􀀢 = −􀀢􀀲 − −􀀢􀀱 + 􀀥  \n􀀯 −􀀢 = 􀀢􀀲 − 􀀢􀀱 + 􀀥  \n􀀯 −􀀢 = 􀀯 􀀢  \nThe function is even  \nUse the graph of the function to describe its end behavior. Support the conjecture numerically.  \n8. 􀀣 􀀢 = 􀀢 􀀰 + 􀀰  \nFrom the graph, it appears that:  \n􀀣 􀀢 → −∞ as 􀀢 → −∞ and 􀀣 􀀢 → ∞ as 􀀢 → ∞  \nThe table supports this conjecture.  \n\n| 􀀢 | −􀀧􀀨􀀱 | −􀀧􀀨􀀰 | 􀀨 | 􀀧􀀨 􀀰 | 􀀧􀀨 􀀱 |\n| --- | --- | --- | --- | --- | --- |\n| 􀀡 | −􀀧􀀨 􀀧􀀥 | −􀀧􀀨􀀴 | 􀀰 | 􀀧􀀨 􀀴 | 􀀧􀀨 􀀧􀀥 |\n\nFind the average rate of change of each function on the given interval.  \n9. 􀀣 􀀢 = 􀀰~~ ~~􀀢􀀢􀀱􀀧~~ ~~ 􀀨; −􀀧 10. 􀀣 􀀢 = 􀀢 􀀰 + 􀀥􀀢 − 􀀧 −􀀧; 􀀧   \nCopyright © PreCalculusCoach.com  \n7  \nName:   Period:   Date:    \nUnit 1 TEST Functions a","cbCaivdeKJohjABC","https://ap.wps.com/l/cbCaivdeKJohjABC","pdf",372982,"English","# Evaluate Functions and Key Attributes\n## Domain, Range, and Intercepts\n## Even/Odd Classification and End Behavior\n## Rates of Change and Critical Points\n# Transformations and Function Operations\n## Graphing Transformed Functions\n## Function Values, Composition, and Inverse Relationships","[{\"question\":\"How do you determine the domain of a function in this test?\",\"answer\":\"Write the domain in interval notation based on where the function is defined. Use the form of the function or given graph/table information to restrict any invalid inputs.\"},{\"question\":\"What tasks relate to intercepts in Unit 1?\",\"answer\":\"The test asks for the x-intercept and y-intercept using graphs to approximate them, then finding the intercepts algebraically by solving for where x=0 or y=0.\"},{\"question\":\"When does a function have an inverse function, and what restrictions might apply?\",\"answer\":\"A function has an inverse only when it meets the test’s conditions, typically related to one-to-one behavior. If restrictions are needed, state them as limits on the domain (and implicitly the range of the inverse).\"}]","Unit 1 TEST Functions and Relations | PDF",1790670911,25]