mac1105_review_3_ans

mac1105_review_3_ans - Answers Review Unit III 1. (a) x = 1...

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Answers – Review Unit III 1. (a) 1 x =− , 5 x = , 22 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 2. () 2 2 2 34 (2 ) (1 ) (4 ) x Rx x ++ = +− + 3. (a) Domain: { } 0, 2 ∈≠ ± \ (b) 33 , (c) 3 ,2 , 0 0 , 2 2 x ∈−∞− ∪− 4. (c) ( ] ( ) 3, 0 3, −+ (d) ( , 5) ( 2,1) {6} −∞− ∪− 5. { } (1, 3) 6. (a) C (b) A (c) B 7. 1 18 3 mi/hr and 2 1 3 mi/hr 8. Quotient: 2 26 2 2 , Remainder: 61 9. ( ) 2 153 f = 10. No 11. 5, 2, 2, 3 , 3 ii −− 12. Zeros are on [] 3, 2 , [ ] 1, 0 , [ ] 1, 2 13. 3 2 f = , ( ) 2 53 4 gx x x + 14. (a) ( ) 2 1 x fg x x ⋅= Domain: ( ) ( ] ,0 0,1 −∞ 2 1 1 f x g x x = Domain: ( ) ( ) −∞ (b) 1 18 (c) 1 (d) 1 1 fgx x = D Domain: ( ) ,1 −∞ ; ( ) 2 1 x gf x x = D Domain: ( ] [ ) ,1 1 , −∞− +∞ 15. f and h
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17. (a) () 1 25 1 x fx x + = , Domain: ( ) ( ) ,1 1, ∞+ , Range: ( ) ( ) ,2 2 , −∞− − +∞ (b) ( ) 1 11 f xx = ++ , Domain: [ ) +∞ , Range: [ ) +∞ (c) 12 1 1 f =− + + , Domain: [0, ) +∞ , Range: [0, ) +∞ 18. Domain: ( ) , −∞ +∞ Range: ( ) −∞ HA: 2 y = . Increasing. 19. 5 7 x =− 20. Domain: ( ) −+ ; Range:
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This note was uploaded on 11/07/2011 for the course MAC 1105 taught by Professor Picklesimer during the Fall '10 term at University of Florida.

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mac1105_review_3_ans - Answers Review Unit III 1. (a) x = 1...

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