a [A] +Algebra 2/Trig Final Exam Review Fall Semester x [E] None of these [C] 512 [A] [B] 1) Simplify: [D] x z [E] None of these 2) Simplify: [A]

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1 ) Simplif: z z z 6 6 z 6 z 6 ) Simplif: ) Simplif: a a a 0 a a ) Simplif: 0 0 ) Simplif: 9 9 6) Evaluate: / ) Rationalize: ) Rationalize: ) Which of the following are polnomials? None [E] All 0) Which of the following are polnomials? None [E] All

2 ) Simplif: ) Simplif: ( 6) ( ) ) Epand: 6 6 ) Epand: ( )( ) ) Factor: 6) Factor: 6 ( ) ( ) 9 ( ) 6 9 ( 6) ( ) 6 9 ( 6) 6 ( 6) 6 6 ( 6) 6 6 ) Factor: 9 9 ( ) ( 9 ) ( ) ( 9 9) ) Factor: 6 ( 6)( ) ( 6)( ) ( 6)( ) ( 6)( ) 9) Factor completel: rs rst r rt r( s st t) ( rs r)( t) r( s )( t) r( s )( t)

3 0) Factor completel: ( ) ( ) ( ) ( ) ) Find the domain: ( )( ) (,0)(0, ) (, )(0, ) (,0)(0,)(, ), )(,0)(0,)(, ) ( ) Find the domain: (, ) [ 0, ) [, ) (, ) ) Identif the tpe(s) of smmetr: 0 -ais -ais origin Both A and B ) Identif the tpe(s) of smmetr: -ais -ais origin Both A and B ) Identif the graph of the equation: 6) Identif the graph of the equation: ) Determine the equation that is a circle with a center at (, ) and a radius of. ( ) ( ) ( )( ) ( ) ( ) ( ) ( )

4 ) Find the center and radius of the circle: ( ) ( ) 6 Center: (,), Radius: 6 Center: (, ), Radius: 6 Center: (,), Radius: 6 Center: (, ), Radius: 6 9) Solve: 0 No Sol. 0) Solve: 6 No Sol 0 **YOU MAY SKIP AND ** ) Solve: 6 ) Solve: 6 ) Use the discriminant to determine the number of real solutions for: 0 0 ) Use the discriminant to determine the number of real solutions for: 0 0 ) Solve: ( ) ( ) 9 0,, 6) Solve: 9,,, ) Solve: ( )( ) ( ), 9,

5 ) Solve: 0, 9 i 9) Write the answer as a comple number in standard form: i i i i 0) Solve: i i 6 i 6 i ) Simplif: i i i ) Solve: 0 0,,, ) Solve: , ) Solve: 6 No Solution ) Solve: 0,,

6 9 6) Solve:, 9 9,, 9, ) Solve:,,,, ) Solve: ( ) 9, 9) Solve: 6 0,,,, (, ), 0 (, ) ) (0,, 0, 0) Solve:., ] [,.,,.,., ) Find the equation of the line parallel to: and passing through the point: (, 0). 9 9 ) Find the equation of the line perpendicular to: and passing through the point: ( 6, ). 6 ) In which equation(s) is a function of? 0 Both A and B [E] Both A and C ) Given: g( ). Find: g (). 9 6 ) Given:, f ( ). Find f (). 0, 6

7 6) Given: 9, f ( ). Find f ()., ) You invest $,000 to start a business. Each unit ou produce costs $.0 and is sold for $.60. Which equation represents the profit of the business? P P P. 000 P. 000 ) To produce units of a product, there are fied costs of $,000 and a production cost of $. per unit. Which equation represents the total cost as a function of?. C. 000 C 000. C 000 C 00. 9) Determine which of the following are EVEN functions. All are even [E] None are even 60) Determine which of the following are ODD functions. All are odd [E] None are even 6) If the following function EVEN or ODD? f ( ) Even Odd Neither Both 6) If the following function EVEN or ODD? f ( ) Even Odd Neither Both

8 6) Describe the transformation of the graph from f ( ) to f ( ). Shift up Shift down Shift left Shift right 6) What kind of reflection has taken place from f ( ) to f ( )? over -ais over -ais through origin over 6) Given f ( ) and g( ), find ( f g)( ). ( ) 0 66) Given f ( ) 6 and g ( ), find ( f g)( ). 6) Given f ( ) and g ( ), find ( fg )( ). 6) Given f ( ) and g ( ), find ( fg )( ). 69) Given f ( ) and g( ), find ( f g)( ). ( ) 0) Given f ( ) and g( ), find f g() ) If f () is one-to-one, then f ( ) is a reflection of f () over -ais over -ais through origin over ) Find f ( ). f ( ) f ( ) ( ) f ( ) ( ) f ( ) f ( )

9 ) Find f ( ). f ( ) ( ) f f ( ) ( ) f f ( ) ) Which quadratic equation represents the parabola graphed below? ( ) ( ) ( ) ( ) ) Write the quadratic in verte form:. ( ) ( ) ( ) 66 ( ) 6) Find the minimum of the parabola: 9,,,, ) Find the maimum of the parabola: 6,, 9,, ) Find the - and -intercepts of the parabola:. 0,,, 0,, 0 0,,, 0,, 0 0,,, 0, 0,, 0, 0,,, 0 9) Determine the end behavior of the graph of:. Rise left and right Fall left and right Rise left, fall right Fall left, rise right 9

10 0) Determine the end behavior of the graph of:. Rise left and right Fall left and right Rise left, fall right Fall left, rise right ) Find all of the real zeros for the function: f ( ).,, 0, ) Find all of the real zeros for the function: f ( ) 6., 0,,,, ) Divide: ) Divide: ) Use the given factor of ( + ) to factor completel: 0. ( )( )( ),, ( )( )( ) ( )( )( ) 6) List the possible rational zeros of:.,,,,,,,,,,,,, ) Find all of the real roots:.,,,,,, 6,, ) Find all of the zeros:.,, i, i i, i 0

11 9) 90) 9) 9) Which of the following has an inverse? 9) 9) `

12 9) 96) 9) 9) A twent pound miture of two kinds of cand sells for $0.. One of the candies sells for $. per pound and the other sells for $.9 per pound. How man pounds of the cheaper cand are in the miture? 99) 00) 0) 0) Eleanor invests $,000 in two accounts that pa 9.% and 0.% simple interest respectivel. How much is invested at 9.% if the annual interest earned is $.0? $00 $000 $000 $0,000 0) Maria inherited $,000 and decided to invest it in two separate accounts. One of them pas 9.% simple interest and the other pas.%. Her annual interest is $6.. How much did she invest at 9.%?

13 $00 $0,00 $ $, 0) Match the graph with the correct sstem of inequalities. 0) Find the maimum of the objective function: Z 6 9 given the following constraints: 9 6

14 ANSWERS ) B ) B ) A ) C ) D 6) E ) A ) A 9) A 0) C ) D ) A ) C ) B ) C 6) C ) A ) E 9) D 0) D ) C ) C ) B ) C ) D 6) B ) D ) C 9) E 0) B ) A ) D ) A ) B ) D 6) A ) A ) C 9) C 0) D ) D ) D ) A ) B ) C 6) D ) D ) B 9) D 0) B ) A ) D ) E ) A ) B 6) B ) D ) A 9) B 60) C 6) C 6) A 6) D 6) A 6) A 66) C 6) B 6) C 69) C 0) B ) D ) B ) C ) B ) B 6) A ) C ) A 9) A 0) C ) D ) C ) D ) A ) C 6) C ) E ) D 9) A 90) A 9) C 9) A 9) A 9) A 9) B 96) D 9) B 9) C 99) A 00) A 0) A 0) B 0) A 0) A 0) C

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