[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-508273-105":59,"doc-detail-508273-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","math-120-final-review-fall-2024","Math 120 - Final Review - Fall 2024","","Math 120 Final Review (Fall 2024) provides practice-style multiple-choice preparation for a cumulative final exam with 50 questions. 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You may bring one 3\" × 5\" index card (front and back) and a scientific calculator.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What topics are included in the Math 120 Final Review?",{"text":118,"@type":114},"The review focuses on domains and ranges, vertical/horizontal/slant asymptotes, logarithmic expressions, inverse functions, polynomial factorization and solving equations, and quadratic properties such as vertex, intercepts, and symmetry.",{"name":120,"@type":111,"acceptedAnswer":121},"How is the time-to-triple problem modeled in the review?",{"text":122,"@type":114},"It uses continuous compounding interest at 7.25% to find how long it takes the deposit to triple, with the value nearest to a year selected among the multiple-choice options.","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},508273,1791439838,{"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":52,"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":145,"preview_page_count":4},1099513958762,"https://ap-avatar.wpscdn.com/avatar/1000023916a998db790?x-image-process=image/resize,m_fixed,w_180,h_180&k=1784791008015729253","Math 120  \nFinal Review (Fall 2024)  \nThis final review is formatted to be similar to the final exam. The final exam will have 50 questions. You will be able to bring one 3\" × 5\" index card (front and back) and a scientific calculator for the exam.  \nMultiple Choice: Choose the best possible answer.  \n1. Find the domain for: 􀝂(􀝔) = √19 − 􀝔  \na. (−∞ , 19] b. [√19 , ∞)  \nc. (−∞ , 19] ∪ [19 , ∞) d. All real numbers  \n2. Write the following as a product of linear factors, given that 3 and -4 are zeros.  \n􀝂 (􀝔) = 􀝔 4 + 􀝔 3 + 13􀝔2 + 25􀝔 − 300  \na. (􀝔 − 3)(􀝔 + 4)(􀝔 − 5)(􀝔 + 5) b. (􀝔 + 3)(􀝔 − 4)(􀝔 − 5􀝅)(􀝔 + 5􀝅)  \nc. (􀝔 − 3)(􀝔 + 4)(􀝔 − 5􀝅)(􀝔 + 5􀝅) d. (􀝔 + 3)(􀝔 − 4)(􀝔 − 5)(􀝔 + 5)  \n3. Find the vertical asymptotes for the following rational functions:  \n􀝂 (􀝔) =  􀝔   \n􀝔 2 − 2􀝔 − 35  \na. 􀝊􀝋􀝊􀝁 b. 􀝔 = −7, 5 c. 􀝔 = 0 d. 􀝔 = 7, −5  \n4. Find the domain for 􀝂 (􀝔) = ln (−6 − 􀝔) .  \na. (−6 , ∞) b. (6 , ∞) c. (−∞ , −6) d. (−∞ , 6)  \n5. Find the domain and the range for the following function  \na. 􀜦 : [−10 , ∞) & 􀜴: (−∞ , ∞)  \nb. 􀜦 : [2 , 8] & 􀜴: [−10 , 0]  \nc. 􀜦 : (−∞ , 2) ∪ (8 , ∞) & 􀜴: (2 , 8)  \nd. 􀜦 : (−∞ , ∞) & 􀜴: [−10 , ∞)  \n6. For the function 􀝂(􀝔) = √􀝔 − 1 + 3 , find the domain and range of 􀝂−1(􀝔) .  \na. 􀜦 : (3, ∞) b. 􀜦 : [3 , ∞) c. 􀜦 : [3 , ∞) d. 􀜦 : [1 , ∞)  \n􀜴: (1 , ∞) 􀜴: [1 , ∞) 􀜴: (−∞ , ∞) 􀜴: [3 , ∞)  \n7. Determine the 􀝕 − 􀝅􀝊􀝐􀝁􀝎􀜿􀝁􀝌􀝐 of the function 􀝃 (􀝔) = 􀝔 2 − 3􀝔 + 9  \na. (−9 , 0) b. (0 , 9) c. (9 , 0) d. (0 , −9)  \n8. You deposit $7550 in an account that pays 7.25% interest, compounded  \ncontinuously. How long to the nearest year will it take for the money to triple?  \n(Hint: 􀜣 = 􀜲􀝁􀯥􀯧 )  \na. 3 yrs b. 28 yrs c. 15 yrs d. 41 yrs  \n9. The antler spread 􀜽 (in inches) and shoulder height ℎ (in inches) of an adult male American elk are related by the model ℎ = 116 log(􀜽 + 40) − 176. Approximate the shoulder height of a male American elk with an antler spread of 55 inches.  \na. 53.4 in b. 58 in c. 1.54 in d. 405.4 in  \n10. A climber is on a hike. After 3 hours, his altitude is 170 feet. After 7 hours, he  \nis at an altitude of 290 feet. What is his average rate of change during this time?  \na. 115 􀝂􀝐/ℎ􀝎 b. 30 􀝂􀝐/ℎ􀝎 c. 46 􀝂􀝐/ℎ􀝎 d. 12 􀝂􀝐/ℎ􀝎  \n11. Solve the polynomial equation 2􀝔3 + 24􀝔2 + 70􀝔 = 0.  \na. 􀝔 = 2, 0, 1 b. 􀝔 = 0, 5, −7 c. 􀝔 = −7, −5, 0 d. 􀝔 = 0, 5, 7  \n12. Solve the equation (􀝔 − 1)1/5 = −2 .  \na. 􀝔 = −32 b. 􀝔 = −31 c. 􀝔 = 33 d. 􀝔 = −33  \n13. Find the equation of the line passing through (3 , 2) and has a slope of − 56 .  \na. 􀝕 = − 5 􀝔 + 9 b. 􀝕 = − 5 􀝔 − 9 c. 􀝕 = − 6 􀝔 + 9 d. 􀝕 = − 5 􀝔 + 2 6 2 6 2 5 2 6 9.  \n14. Which of the following rational functions is represented by the graph?  \na. 􀝉 (􀝔) = 􀯫􀯫22−28􀯫􀯫3155  \nb. 􀝃 (􀝔) = 2􀯫􀯫22􀯫􀯫  \nc. 􀝂 (􀝔) = 􀯫􀯫22−22􀯫􀯫−3155 d. ℎ (􀝔) = 2􀯫􀯫22􀯫􀯫  \n15. Find the equation of a line perpendicular to 7􀝔 + 8􀝕 = 47.  \na. 􀝕 = − 87 􀝔 − 277 b. 􀝕 = − 78 􀝔 − 338  \nc. 􀝕 = − 78 􀝔 − 478 d. 􀝕 = 87 􀝔 − 437  \n16. Find the horizontal asymptote: 􀝂 (􀝔) = 32􀯫􀯫22􀯫1  \na. 0 b. none c. 􀝕 = 32 d. 􀝔 = 32  \n17. Which of the following functions has a slant (or oblique) asymptote?  \na. 􀝂 (􀝔) = 􀯫~~ ~~4􀯫+31 b. 􀝂 (􀝔) = 􀯫~~ ~~4􀯫+21  \nc. 􀝂 (􀝔) = 􀯫􀯫212 d. 􀝂 (􀝔) = 􀯫~~ ~~2􀯫−21  \n18. Select the polynomial function whose graph is shown below.  \na. 􀝂 (􀝔) = (􀝔 − 4)2 (􀝔 + 2)(􀝔 − 3)2  \nb. 􀝂 (􀝔) = (􀝔 − 4)(􀝔 + 2)(􀝔 − 3)  \nc. 􀝂 (􀝔) = (􀝔 − 4)(􀝔 + 2)2 (􀝔 + 3)  \nd. 􀝂 (􀝔) = (􀝔 − 4)(􀝔 + 2)2 (􀝔 − 3)  \nFor problems 19 and 20, use 􀢌(􀢞) = 􀢞 􀫜 − 􀢞 and 􀢍(􀢞) = 􀫜√􀢞 − 􀫚􀫛 .  \n19. (􀝂 − 􀝃)(20)  \na. −7972 b. 7978 c. −8012 d. −7978  \n20. (􀝂 ∘ 􀝃)(􀝔)  \na. 􀝔 − 12 − √􀝔 − 12 b. 3√􀝔 3 − 􀝔 − 12  \nc. 0 d. 􀝔 − 12 − 3√􀝔 − 12  \n21. Determine the number of local maxima/minima (aka. relative max/min) of the graph:  \na. 1 b. 2 c. 3 d. 4 Solve the following equations:  \n22. |7􀝉 + 4| + 9 = 15  \na. ~~ ~~27 , − 107 b. − 27 , 107 c. ~~ ~~27 d. 􀜰􀝋 􀜵􀝋􀝈􀝑􀝐􀝅􀝋􀝊  \n23. √4􀝔 − 3 = 2􀝔 − 3  \na. 1, 3 b. 3 c. −3 d. 􀜰􀝋 􀜵􀝋􀝈􀝑􀝐􀝅􀝋􀝊  \n24. 2􀝔2 + 6􀝔 = −3  \na. ~~ ~~−3±2√3 b. ~~ ~~−3±4√3 c. ~~ ~~−3√15 d. ~~ ~~−6±2√3  \n25. ~~ ~~2􀯫􀯫+2 =  + 2􀯫􀯫  \na. 􀝔 = 32 b. 􀝔 = 3 c. 􀝔 = − 125 d. 􀝔 = −3  \n26. 2(12−2􀯫) = 16  \na. ","cbCaiq66gj7bHvDH","https://ap.wps.com/l/cbCaiq66gj7bHvDH","pdf",257096,"English","# Multiple Choice Problems\n## Domain, Range, and Asymptotes\n## Logarithms, Exponentials, and Applications\n## Polynomials, Equations, and Inequalities\n## Quadratics, Symmetry, and Transformations\n## Inverse Functions and Functions as Relations","[{\"question\":\"What are the exam rules for this final review?\",\"answer\":\"The final exam has 50 questions. You may bring one 3\\\" × 5\\\" index card (front and back) and a scientific calculator.\"},{\"question\":\"What topics are included in the Math 120 Final Review?\",\"answer\":\"The review focuses on domains and ranges, vertical/horizontal/slant asymptotes, logarithmic expressions, inverse functions, polynomial factorization and solving equations, and quadratic properties such as vertex, intercepts, and symmetry.\"},{\"question\":\"How is the time-to-triple problem modeled in the review?\",\"answer\":\"It uses continuous compounding interest at 7.25% to find how long it takes the deposit to triple, with the value nearest to a year selected among the multiple-choice options.\"}]","Math 120 - Final Review - Fall 2024 | PDF",1791215066,25]