End of year exam. Final Exam Review. 1.What is the inverse of the function Which transformations of the graph of. x will produce the graph of

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1 Name Date lass 1.What is the iverse of the fuctio f ( )? f 1 ( ) f 1 ( ) f ( ) ( ) 1 1. What trasformatios o the graph of f ( ) result i the graph of g( )? Traslate right by uits ad dow by uits. Stretch horizotally by ad traslate dow by uits. Stretch vertically by ad traslate dow by uits.. What are the domai ad rage of g( ) 1? : 1, y : y all real umbers, y : y all real umbers, all real umbers. The graph below shows a fuctio i the form g( ) a h k ad the poit (h, k). What is the equatio of the fuctio? 5. Which trasformatios of the graph of f ( ) will produce the graph of ( )? Reflect across the -ais ad traslate left by uits ad dow by uits. Reflect across the -ais ad traslate left by uits ad up by uits. Reflect across the y-ais ad traslate right by uits ad dow by uits. 6. Is each epressio equivalet to ? 0.6 Yes No 0.16 Yes No 0.6 Yes No D E 0.6 Yes No 0.6 Yes No 7. LaShodra graphed each side of a radical equatio o a graphig calculator. The two graphs itersected at oe poit. What does LaShodra ow kow about the equatio? It has oe solutio. It has two solutios. It has o solutios. b 8. Which epressio is equivalet to? c ( ) ( ) ( ) b 1 1 c b c b c Origial cotet opyright by Houghto Miffli Harcourt. dditios ad chages to the origial cotet are the resposibility of the istructor. 5

2 Name Date lass For 9 10, solve each equatio. Idetify ay etraeous roots = - ad o etraeous solutios = - ad has oe etraeous solutio at = = - ad has oe etraeous solutio at = = -1 ad o etraeous solutios = 1 ad has oe etraeous solutio at = 5 = -1 ad has oe etraeous solutio at = What is a eplicit rule for the sequece show i the table? f () f() 5 f() f() 5 1. How may terms are i the series ? What is the sum of a series with first term 5, a commo ratio of, ad 6 terms? What is a recursive rule for the sequece show i the table? 0 1 f () f(0) 1 ad f() 0.1f( 1), 1 f(0) 0.1 ad f() 0.f( 1), 1 f(0) 0.1 ad f() 5f( 1), Ro is sellig items at a craft show. The first hour his sales are $0. His sales grow by 10% each hour. What are Ro s total sales for the first 5 hours? $ $10.0 $ ompared to the graph of f( ), is each statemet about the graph of 1 1 g ( ) true or false? g() is vertically stretched. g() is reflected across the -ais. g() is traslated up. D g() is traslated left. For 17 19, cosider a ivestmet of $000 that ears.% iterest. 17. Which equatio describes the value V(t) of the ivestmet at time t if the iterest is compouded mothly?. 1 Vt ( ) Vt ( ) Vt ( ) t t t Origial cotet opyright by Houghto Miffli Harcourt. dditios ad chages to the origial cotet are the resposibility of the istructor. 5

3 Name Date lass 18. What is the value of the ivestmet after 10 years if the iterest is compouded aually? $,70.18 $,79.06 $, How log would it take for the ivestmet to reach $10,000 if the iterest is compouded semi-aually? Roud your aswer to the earest teth of a year. 8.1 years 7.7 years 5.0 years 0. ompare the graph of 1 1 g ( ) 1 with the graph of f( ). Which statemet is true? g() is vertically stretched. g() is traslated left. g() is reflected across the -ais. 1.Which fuctio is represeted by the graph below?. car with a cost of $5,000 is decreasig i value at a rate of 10% each year. The fuctio gt ( ) 5,000(0.9) t gives the value of the car after t years. Whe will the value of the car be about $1,000? after 7 years after 9 years after 1 years. Let f ( ) log 8. hoose True or False for each statemet. f True False 8 f 1 f 6 True False D f 16. Which fuctio is the iverse fuctio of f( ) 7? f 1 1 ( ) 7 1 f ( ) log1 7 1 f ( ) log 7 1 f( ) 5 1 f( ) 5 1 f( ) 5 5. Which describes the ed behavior of the fuctio? s, g(). s, g(). s 0, g(). s, g(). s 0, g(). s, g(). Origial cotet opyright by Houghto Miffli Harcourt. dditios ad chages to the origial cotet are the resposibility of the istructor. 55

4 Name Date lass 6. What trasformatios o the graph of f ( ) log result i the graph of g( ) log ( 10)? stretch vertically by ad traslate left 10 uits stretch horizotally by ad traslate right 10 uits stretch vertically by ad traslate up 10 uits 7. The paret fuctio is f ( ) log. Which fuctio is graphed o the coordiate grid below? ( ) log ( ) 1 ( ) log ( ) 1 ( ) log ( ) 1 8. What is the domai of y log ( )? (, ) (, ) (, ) 9. Which epressio is equivalet to log? log6 log log 6 log log log 6 0. I solvig the epoetial equatio 1 5, what does equal? t The equatio 1000e gives the amout o a iitial ivestmet of $1000 after t years at a iterest rate of.5% compouded cotiuously. Use this iformatio for Problems Which logarithmic equatio shows the amout of time it takes for the ivestmet to grow to $1500? t 0.05l 1 t l t l Which gives the amout of time t that it takes the ivestmet to grow to $1500? t 0.01 t 5.5 t 16.. The itesity of soud of a bad that plays at a outdoor cocert is 15 times as great as whe they play i a café. The differece i loudess is give by the 15I I equatio 10log 10log. Which I0 I0 shows this epressio i simplified form? 10log15 1I 10log I0 1I I 0 Origial cotet opyright by Houghto Miffli Harcourt. dditios ad chages to the origial cotet are the resposibility of the istructor. 56

5 Name Date lass oic. Which of the followig is the equatio of a circle with radius 8 ad traslated uits right ad uits up? What is the focus of a parabola with equatio:? What is the equatio of a ellipsis with vertical major ais of 1 ad mior ais of 10? hoose the aswer to the word blak for the equatio of the coic sectio if the foci, c, is 1: Origial cotet opyright by Houghto Miffli Harcourt. dditios ad chages to the origial cotet are the resposibility of the istructor. 57

6 Name Date lass oic 8. Which of the followig describes the domai ad rage for the hyperbola with equatio:. Domai:. Domai:. Domai: Domai: 9. What is the ame of the coic sectio for the followig equatio i geeral form?. Hyperbola. Parabola. ircle Ellipsis 0. Which of the followig equatios i stadard form correspod to the followig equatio i geeral form:... Origial cotet opyright by Houghto Miffli Harcourt. dditios ad chages to the origial cotet are the resposibility of the istructor. 58

7 Name Date lass oic 1. Select true or false to the statemets about the followig coic sectio: Foci is at (6,-5) ad (-, 5) D The rage is all real umbers. What is the equatio of the followig coic sectio graph:... Origial cotet opyright by Houghto Miffli Harcourt. dditios ad chages to the origial cotet are the resposibility of the istructor. 59

Algebra 1 Hour Final Exam Review Days

Algebra 1 Hour Final Exam Review Days Semester Fial Eam Review Packet Name Algebra 1 Hour Fial Eam Review Days Assiged o Assigmet 6/6 Fial Eam Review Chapters 11 ad 1 Problems 54 7 6/7 Fial Eam Review Chapters 10 Problems 44 5 6/8 Fial Eam