mac1147_review_2_ans

mac1147_review_2_ans - Answers Review Unit II 1. (a) d ( P,...

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Answers – Review Unit II 1. (a) (, ) 8 5 dPQ = (b) 3 0, 2 ⎛⎞ ⎜⎟ ⎝⎠ (c) Yes 2. ( ) ( ) 22 53 2 5 xy −+ += 3. ( ) ( ) 52 3 2 +− = 4. Center: ( ) 2,1 Radius: 44 3 3 3 r == 5. 43 1 5 x y −= 6. 28 35 yx = −− , 8 5 7. { } (1, 3) 8. 1 18 3 mi/hr and 2 1 3 mi/hr 9. 843 x h 10. 1; 1; 2 11. (a) Increasing on (3, ) +∞ . Decreasing on (, 2 ) a n d ( 0 , 3 ) −∞ − . Constant on (2 ,0 ) . (b) [2,4] 12. a, c, and d. 13. (a) neither (b) even (c) odd (d) even 14. 1 8 15. shift right 1 unit, upward 2 units 16. (a) Vertex: ( ) 1, 2 Axis: 1 x = − x -intercept: none y -intercept: ( ) 0, 5 D: ( ) , −∞+∞ R: 2 ] −∞− 17. 306 ft., 4 sec. 18. Zeros: ( ) ( ) ( ) ( ) ( ) ( ) 01, 23, 21, 32, 2 3, 2 3 x xx i x i = = = = x intercepts: 0, 2, 2, 3 x x === = 19. Zeros: () 4 1mu l t 1, mu l t 2 3 ; ( ) 3 9, a s fx x x ≈− →∞
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20. (a) 1 x =− , 5 x = , 2 2 yx =+ (b) D: { } 1, 2, 4 xx ≠− Symmetry: None Hole: 1 2, 6 ⎛⎞ ⎜⎟ ⎝⎠ VA: 4 x = and 1 x HA: 1 y = x -intercepts: 1 x = and 3 x = y -intercept: 3 4 y Intercept with HA: ( ) 7,1 21. (a) 2 ,1 3 ⎡⎤ ⎢⎥ ⎣⎦ (b) ( ) ,1 ( 1 ,2 ) −∞ − (c) ( ] ( ) 3, 0 3, +∞ (d) (, 5 ) ( 2 , 1 ) { 6 } −∞ − ∪ − 22. ( )( ) 2 32 6 2 2 6 1 x −+ + + 23. ( ) 2 153 f = 24. No 25. 5, 2, 2, 3 , 3 ii −− 26. Zeros in [] 3, 2 , [ ] 1, 0 , [ ] 1, 2 27. () 3 2 f = , ( ) 2 53 4 gx x x = 28. (a) ( ) 2 1 x fg x x ⋅= Domain: ( ) ( ] ,0 0,1 −∞
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mac1147_review_2_ans - Answers Review Unit II 1. (a) d ( P,...

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