MAT141 Review for Test II Blitzer Sections 1.6-1.9, Sections 2.1-2.2 FALL 2009 1 Blitzer 1. 90% of what number is 63? a. 70 b. 7 c. 56.7 d. 700 2. If2( ) and ( ) 5x+10f x g x x, find the domain of the composition( )( )f g x. a. ( , 15) ( 15, ) b. ( , 10) ( 10, ) c. ( , 10) ( 10, 5) ( 5, ) d. ( , ) 3. If (9, 9) and (5, 1) represent the endpoints of the diameter of a circle, what is the center of the circle? a. (2, 4) b. (4, 8) c. (14, 10) d. (7, 5) 4. The graph shown below is a one-to-one function. Use the graph to sketch the graph of its inverse. You may assume that each tick mark represents one unit. y=f(x) 1()y f x x x y yMAT141 Review for Test II Blitzer Sections 1.6-1.9, Sections 2.1-2.2 FALL 2009 2 Blitzer 5. After a 13% price reduction, a boat sold for $26,970. What was the price before the reduction? a. $30,476.10 b. $3,506.10 c. $207,461.54 d. $31,000.00 6. For which pair of points below is the distance between them equal to 13? a. (5, 3), (-17, 8) b. (-5,-3), (8, 17) c. (-5, 3), (-17, 8) d. (5,-3), (-8, 17) 7. If( ) 8 4 and ( ) 2 4f x x g x x, find the domain of( )( )f g x. a. [0, ) b [ 2, ) c. [2, ) d. ( , ) 8. Describe the transformation from ()f x x to( ) 3 1f x x. a. The graph is shifted left 3 units and down one unit. b. The graph is shifted right 3 units and down one unit. c. The graph is shifted left one unit and down 3 units. d. The graph is shifted right one unit and down 3 units. 9. Given that71()5xfx, what is1()fx? a. 151()7xfx b. 15()71fxx c. 151()7xfx d. 15()71fxx 10. Given22( ) 2 4; ( ) 2 2, find ( )( 2)f x x x g x x x f g. a. 124 b. 84 c. 80 d. 128MAT141 Review for Test II Blitzer Sections 1.6-1.9, Sections 2.1-2.2 FALL 2009 3 Blitzer 11. Answer questions a-e based on the given tables. a) ( (0))fg= b) ( ( 2))gf c) ( )(1)fg= d) ( )( 3)gf= e) 1( (2))fg= 12. If the domains of f, g, and h are all positive numbers and21( ) , ( ) ,and ( )f x x g x h x xx, which functions are inverses of each other? a. f(x) and h(x) b. f(x) and g(x) c. g(x) and h(x) d. none 13. Find f g xbgbg for f xxbg12 and g x xbg. a. 12x b. 132xx c. 13x d. xx231 14. Find the functiong xbgthat is the reflection of f x xbg in they-axis. a. g x xbg1 b. g x xbg c. g x xbg1 d. g x xbg x f(x) -3 -3 -2 -1 -1 1 0 3 1 5 2 7 3 9 x g( x) -3 -10 -2 -7 -1 -4 0 -1 1 2 2 5 3 8MAT141 Review for Test II Blitzer Sections 1.6-1.9, Sections 2.1-2.2 FALL 2009 4 Blitzer 15. Iff x xbg3 4andg x xbg24,find (a)g f xbgbgand (b)f g xbgbg. a. (a) x x24 7 (b) 16 24 132x x b. (a) 4 132x (b) x x24 7 c. (a) x x24 7 (b) 16 13 242x x d. (a)16 24 132x x (b) 4 132x 16. Solve33211xxx. a. 1x b. 2x c. 15x d. This equation has no solution. 17. A rectangle that is 24 meters long has the same area as a square with 12 meter sides. What is the width of the rectangle? a. 12 meters b. 2 meters c. 6 meters d. There is not enough information given to solve the problem. 18. The point (10, 4) lies on a circle centered at(7, 8). Find the equation of the circle in standard form. a. 22( 7) ( 8) 25xy b. 22( 7) ( 8) 5xy c. 22( 8) ( 7) 25xy d. 22( 8) ( 7) 5xyMAT141 Review for Test II Blitzer Sections 1.6-1.9, Sections 2.1-2.2 FALL 2009 5 Blitzer 19. If11( ) and ( )1f x g xxx, find the domain of the composition( )( )f g x. a. ( ,0) (1, ) b. ( ,0) (0,1) c. ( ,0) (0,1) (1, ) d. ( , ) 20. What is true of the function shown below? You may assume that each tick mark represents one unit. a. This function is one-to-one. b. The range of the function is[ 3, ). c. (0) 2f. d. The function is the graph of2()f x x shifted two units to the right. x yMAT141 Review for Test II Blitzer Sections 1.6-1.9, Sections 2.1-2.2 FALL 2009 6 Blitzer Key Review Test 2 1. a 2. a 3. d 4. 12xy could use (3, 1) and (1, 0) 5. d 6. c 7. c 8. b 9. c 10. b 11. a. 1 b. 4 c. 7 d. 10 e. 1 12. a 13. b 14. b 15. d 16. d 17. c 18. a 19. c 20.