Final Exam Review. Name. Simplify. Your answer should contain only positive exponents.

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1 7 ccl9nejk nuz 8wBY6d Lcz7DPDtc R vzqazjub cwzudfmzo oovggrye ky Worksheet b Kuta Software LLC Final Eam Review k T6mUu 1fBgzr53 6 G DwFwBUffQIXb1p7hb Simplif. Your answer should contain onl positive eponents. 1) b a b ) Name Evaluate each function at the given value using snthetic substitution. 2) f n)n n n n at n Describe the end behavior of each function. 3) f ) 4) f ) Factor each completel b grouping. 5) a a a 6) k k k Divide using polnomial long division. 7) b b b) b) Divide using snthetic division. 8) ) ) Given a polnomial f) and a factor of f), factor f) completel. 9) f ) ; Write each epression in eponential form. 10) v

2 -2- I L2C0H114Q wkruetvar ASCozfOtlw3azrSeh sl4lpc6.v 0 QAkl7lz lraiog2hatusm Lr2eesQerzvceMda.h K YM1a7dGev Vw7iCt1h pidndfbi9ntietee3 za7l1g9ebbkrmat N24.1 Worksheet b Kuta Software LLC Write each epression in radical form. 11) ) Solve the equation. Round our answer to two decimal places when appropriate. 12) 13) ) Let f)=, g)= -3-7 and h)= 6-1 Perform the indicated operation. 14) Find g)+ h) 15) Find g) h) 16) Find gf-4)) 17) Find fg)) Find the inverse of the function. 18) f) = 19) f) = ) Find the equation of the graph. 20) 21) Simplif. Your answer should contain onl positive eponents with no fractional eponents in the denominator. 22) m n m n m ) n 23) )

3 -3- B r b LKhuTtla8 zs8onfntzwyairvew CLQLDC2.N g 1AllElX qrrivg1hkt7s3 BrGevsbedrJvaeNdK.7 g pmea9diej ew6ictchn hihnkfziunciht9e7 qa0l2gsejborea3 42N.H Worksheet b Kuta Software LLC Simplif. 24) k 25) Sketch the graph of each function. 26) 27) 28) 29) )

4 -4- m b2q0c194u lkvustvan tslojfntvw7aarreq VL4LqCs.F R KA7lSlb BrtitgBh1tJsp ar4euspe3rfvesdo.k m kmzacdel hwuigtbhf iicnpf2ilni4tbew GAklMgueqbmrYa2 2g.O Worksheet b Kuta Software LLC 30) log ) Sketch the graph of each function b making a table of values. 31) f ) Solve each equation. Remember to check for etraneous solutions. 32) k 33) 34) 35) n n 36) k k k k k k 37) m) Rewrite each equation in eponential form. 38) log Rewrite each equation in logarithmic form. 39) Evaluate each epression. 40) log 41) log Epand each logarithm. Condense each epression to a single logarithm. 42) log ) 43) ln ln

5 -5- r c2u0d1g4e VKNu9tAaq 9Sqo6fgtNwTaHre flylhcq.i v RAlglu VrGiCgShgtnsd srgedsrejrvceod6.6 K HMqaVdCep 4wQiqtOhn JInjfSiwnqilt5e4 ba5laglerbkr6ad K21.7 Worksheet b Kuta Software LLC Solve each equation. Round our answers to the nearest ten-thousandth. 44) n 45) k Identif the vertical asmptotes and horizontal asmptote of each. 46) f ) Identif the -intercepts and -intercept of each. 47) f ) Simplif each and state the ecluded values. 48) n n n Simplif each epression. 49) a a a a a a a 50) v v v 51) 52) 53) u u 54) r r r) r r r ) Use the information provided to write the transformational form equation of each parabola. 55) Verte:, ), Focus:, ) Use the information provided to write the standard form equation of each circle. 56) Center:, ) Radius:

6 -6- q R2W021Y4L KpustGal 9SXoAfStgw4a2rbeJ GLILlCZ.E f 2ASlwlF priimgih0tbs8 gr6eusfehrtv5egdb.y a 4MaahdYeb rwiigt4hg TIknMfjianriDt3ej oablegjejbmrnaw M2Y.O Worksheet b Kuta Software LLC Graph each equation. 57) ) ) Use the information provided to write the standard form equation of each hperbola. 58) Classif each conic section and write its equation in standard form. 59) 60)

7 Semester 2 Final Eam Review UNIT 7 1) Write an epression for the figure's area or volume in terms of. a. b. c UNIT 8 2) Brust and Bean are battling for superiorit at RHS. The want to see who will have more students in their class b the end of the ear. Brust models his function with 120, where fm) the number of students after m, months. Bean who s a bit more eact) models his function with a) How man students will Brust have after 6 months? b) How man students will Bean have after 6 months? c) When will the two teachers have the same amount of students?

8 UNIT 9 3) During the summer, Sullivan left his 2-feet bathing pool out over the weekend and it attracted a swarm of mosquitos. On Monda morning, there were 150 mosquitos. The mosquito population increases b 20% ever da. a) Write an eponential growth model that represents the mosquito population in Sull s backard. Let the dependent variable be for number of mosquitos) and the independent variable be for number of das since Monda). b) Use our model to determine how long it will take for there to be 1000 mosquitos. UNIT 10 4) Mr. Kell writes a best-selling autobiograph titled Algebroments: Simplifing Life s Greatest Problems. The cost in dollars of publishing copies of the book is modeled b the function 30, The publishing compan creates a function to determine the average cost for each book produced which is given b: 30, a) Graph on our calculator with a friendl window. Fill in in the window. b) Find 12,000. What does this mean? c) What does 12 mean? Find it. d) How man books should the publish to minimize their cost? UNIT 11 5) While on a camping trip, Brust goes on a Snipe Hunt at night. While running through the woods, he drops and breaks his flashlight. While putting it back together, he sees the light is 1 cm from the base of the parabolic mirror. If the mirror is 7 cm wide, how deep is the flashlight s mirror?