[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-453003-105":59,"doc-detail-453003-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","honors-precalculus-final-review-extra-practice","Honors Precalculus Final Review - Extra Practice","","Honors Precalculus final exam extra practice covering non-calculator and calculator topics. Includes multiple-choice and open-ended problems on odd/even symmetry, polynomial end behavior, zeros with multiplicity, factoring into linear and quadratic factors, inequalities, domain analysis, and rational function graphing details such as discontinuities, holes, asymptotes, and intercepts. Further sections address composition and inverse functions, exponential/logarithmic simplification and expansion, logarithm evaluation, equation solving, exponential decay by half-life, and trigonometry including reference angles and exact trig function values.",{"@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/honors-precalculus-final-review-extra-practice/453003/",{"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/honors-precalculus-final-review-extra-practice/453003.png","ImageObject",300,407,{"name":92,"@type":93},"WPS_1790064749","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",16,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the exam format for the Honors Precalculus final practice?","Question",{"text":113,"@type":114},"The practice follows an exam format with non-calculator problems consisting of 9 multiple choice and 9 open-ended questions, and calculator-related work consisting of 5 open-ended questions.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What key rational-function features are required when analyzing graphs?",{"text":118,"@type":114},"Graph analysis requires identifying the domain, discontinuities (including removable holes), end behavior, asymptotes (infinite asymptotes), and intercepts (x- and y-intercepts) before sketching the function.",{"name":120,"@type":111,"acceptedAnswer":121},"How do the trigonometry sections determine trig function values?",{"text":122,"@type":114},"The trigonometry tasks use given points or conditions (such as reference angles, coterminal angles, signs of trig values, and angle bounds) to determine exact values of all six trigonometric functions or the remaining five functions.","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},453003,1790763909,{"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":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146},3985747859154,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Honors Precalculus Final Review  \nThe following is extra practice for the final exam. Use your notes first to help with problems that are challenging. Answer key is also provided for you to check your work.  \nExam Format:  \nNon-calc: 9 multiple choice and 9 open ended Calc: 5 open ended  \nNON-CALCULATOR PRACTICE:  \nOdd/Even/Symmetry  \n1. Determine if the equations have y-axis, origin or no symmetry. Then classify whether the function is even, odd, or neither.  \na. 􀝕 = 􀝔 6 − 4􀝔2 b. 􀝕 = 3􀝔5 + 2􀝔 − 10 c. 􀝂 (􀝔) = 􀯫~~ ~~􀯫27 d. 􀝂 (􀝔) = 􀯫~~ ~~5􀯫−􀯫  \nPolynomial and Rational Functions  \n2. Describe the end behavior of each function using limit notation.  \na. ℎ (􀝔) = −4􀝔6 − 2􀝔2 + 1 b. ℎ (􀝔) = 􀝔 7 (5 − 􀝔)(2􀝔 + 3)3  \n3. For the following functions determine the following:  \ni. Determine the end behavior of the graph.  \nii. Determine the zeros and state the multiplicity of any repeated zeros  \niii. Use this information to sketch a graph of the function.  \na. 􀝃 (􀝔) = −3􀝔2 (􀝔 − 3)4 (􀝔 + 2) b. 􀝂 (􀝔) = 2􀝔3 (􀝔 + 3)5 − 6􀝔4 (􀝔 + 3)4  \n4. For the following functions,  \na) Write each polynomial as the product of linear and irreducible quadratic factors.  \nb) Determine the rational and irrational zeros ofthe polynomial.  \na. 􀝂 (􀝔) = 2􀝔4 − 􀝔 3 − 17􀝔2 + 7􀝔 + 21 b. 0 = 􀝔 3 + 2􀝔2 + 4􀝔 + 8  \nFactored Form: Factored Form:  \nRational Zero(s): Rational Zero(s):  \nIrrational Zero(s): Irrational Zero(s):  \n5. Is (􀝔 − 2) a factor of 􀝔 3 + 3􀝔2 + 5􀝔 – 30? If yes, factor the polynomial completely.  \n6. Solve the inequalities.  \na. 6􀝔3 + 10􀝔2 + 15􀝔 \u003C −25 b. (􀝔 − 4)2 + 1 ≥ 0 c. 6􀝔4 (􀝔 + 1)2 ≤ 3􀝔3 (􀝔 + 1)3  \n7. Determine the domain.  \na. 􀝂 (􀝔) = 􀯫~~ ~~2~~ ~~􀯫7+6 b. 􀝃 (􀝔) = 􀯫~~ ~~2~~ ~~+23􀯫−3 c. 􀝂 (􀝔) = 2􀯫􀯫332  \n8. Analyze the graphs ofthe following rational functions: Include domain, discontinuities, end behavior, asymptotes and intercepts. Then use this analysis to sketch the function.  \na. 􀝂 (􀝔) = 􀯫32 b. 􀝂 (􀝔) = 􀯫~~ ~~2~~ ~~−62􀯫+8 c. 􀝂 (􀝔) = 􀯫~~ ~~2~~ ~~􀯫2−3  \nDomain: Domain: Domain:  \nDiscontinuities: Discontinuities: Discontinuities:  \nHole (removable): Hole (removable): Hole (removable):  \nVA (infinite): VA (infinite): VA (infinite):  \nEnd Behavior: End Behavior: End Behavior:  \nHA: HA: HA:  \nOA: OA: OA:  \nx-intercept: x-intercept: x-intercept:  \ny-intercept: y-intercept: y-intercept:  \n9. Simplify the following rational expressions:  \na. 2􀯫2􀯫−2􀯫9−3 b. 􀯫~~ ~~3 − 􀯫~~ ~~2 c. 􀳣3~~ ~~ d. 1~~􀳣~~2~~2~~2􀳣  \n10. Solve the equation.  \na. 1􀯫 + 4􀯫􀯫2132􀯫 = 􀯫~~ ~~3 b. 􀯫~~ ~~2 + 􀯫~~ ~~2~~ ~~−~~ ~~17􀯫+10 = 􀯫~~ ~~5  \n11. Solve the inequalities:  \na. ~~ ~~((􀯫􀯫35)) ≤ 0 b. 􀯫~~ ~~3 \u003C 1  \nComposition and Inverse  \n12. Given 􀝂(􀝔) = 52􀯫􀯫11 and 􀝃 (􀝔) = 􀯫~~ ~~1, find (􀝃 ∘ 􀝂)(􀝔) . Then state the domain.  \n13. State whether the functions are one-to-one.  \na. 􀝂 (􀝔) = 3􀝔2 + 􀝔 − 7 b. 􀝃 (􀝔) = 􀝔 3 − 8 c. ℎ (􀝔) = |􀝔 − 5| + 6  \n14. Determine if the functions are invertible and restrict the domain if necessary. Then determine the inverse and it’s domain.  \na. 􀝂 (􀝔) = (􀝔 − 3)2 + 12 b. 􀝂 (􀝔) = 2􀯫3 c. 􀝕 = |􀝔 + 3| − 4  \nInvertible? Yes No Invertible? Yes No Invertible? Yes No  \nRestricted domain (if necessary): Restricted domain (if necessary): Restricted domain (if necessary):  \n􀝂 −1(􀝔) = 􀝂 −1(􀝔) = 􀝂 −1(􀝔) =  \nDomain of 􀝂−1(􀝔): Domain of 􀝂−1(􀝔): Domain of 􀝂−1(􀝔):  \nExponential/Logarithmic Formulas Given: 􀜣 = 􀜲 ( 1 + 􀯥􀯡)􀯡􀯧 􀜣 = 􀜲􀝁􀯥􀯧 􀜣 (􀝐) = 􀜣 0 􀝁 􀯞􀯧  \n15. NON-CALCULATOR: For the following functions determine the equation of the asymptote and end behavior using limits.  \na. 􀝂 (􀝔) = (13)􀯫 − 7 b. 􀝂 (􀝔) = 3 ln(􀝔 + 1) c. 􀝂 (􀝔) = 􀝁 􀯫+4 − 3  \n16. Condense the logarithmic expression. Simplify your result.  \na. 2 log x – log 3 b. 5 ln 􀝔 + ln 􀝔􀝕 − 2 ln 3􀝔  \n17. Expand the logarithmic expression completely.  \na. log 9 1􀯫32􀯬5~~ ~~ b. ln (2√􀯫􀯫13∙~~ ~~(􀯫))  \n18. Evaluate the expression.  \na. log 16 14 b. ln 􀝁4 − ln (􀯘12~~ ~~ ) c. log 3 81 d. log ~~ ~~12 32  \n19. Simplify each expression  \na. 􀝁 8􀯟􀯡􀯫 b. ln 􀝁 (2􀯫+3) c. 􀝁 5 ln 􀯫 + ln 􀝁 (12)  \n20. Solve. LEAVE EXACT, NON-CALCULATOR!  \na. 82􀯫+3 = (14)􀯫+1 b. log 94􀝔 = lo","cbCaibWqJJXfnT7Z","https://ap.wps.com/l/cbCaibWqJJXfnT7Z","pdf",936155,15,"English","# Exam Format\n# NON-CALCULATOR PRACTICE\n## Odd/Even/Symmetry\n## Polynomial and Rational Functions\n## Factored Form, Zeros, and Inequalities\n## Domain and Rational Function Graph Analysis\n## Rational Expressions and Equations\n## Composition and Inverse\n## Exponential/Logarithmic Formulas\n## Asymptotes, Log Condensing, Expansion, and Evaluation\n## Solving Equations and Half-Life Applications\n# Trigonometry","[{\"question\":\"What is the exam format for the Honors Precalculus final practice?\",\"answer\":\"The practice follows an exam format with non-calculator problems consisting of 9 multiple choice and 9 open-ended questions, and calculator-related work consisting of 5 open-ended questions.\"},{\"question\":\"What key rational-function features are required when analyzing graphs?\",\"answer\":\"Graph analysis requires identifying the domain, discontinuities (including removable holes), end behavior, asymptotes (infinite asymptotes), and intercepts (x- and y-intercepts) before sketching the function.\"},{\"question\":\"How do the trigonometry sections determine trig function values?\",\"answer\":\"The trigonometry tasks use given points or conditions (such as reference angles, coterminal angles, signs of trig values, and angle bounds) to determine exact values of all six trigonometric functions or the remaining five functions.\"}]","Honors Precalculus Final Review - Extra Practice | PDF",1790738032,38]