mac1105_review_1_ans - Answers Review Unit I 7 12(b 2 13 1...

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Answers - Review Unit I 1. (a) 1 x + (b) 8 2 π (c) 13 37 r 2. (a) 7 2 (b) 12 13 3. (a) Natural numbers: 1 4 15 ,16 5 (b) Integers: 1 4 3 0 15 , 8, ,16 3 5 (c) Rational numbers: 1 4 3 0 15 1 , 8, , ,16 ,0.6 3 5 2 (d) Irrational numbers: { } 2, π (e) Real numbers: 1 4 3 0 15 1 2, , , 8, , ,16 ,0.6 3 5 2 π . 4. (a) 2 4 1 x x (b) ( ) 2 2 2 2 x x + 5. (a) ( ) 2 2 2 ( 2) 5 x x x + (b) ( )( )( ) 4 2 1 2 1 x x x x + (c) ( )( ) ( ) 2 2 2 3 x x x + + (d) ( ) ( ) 2 2 4 2 1 4 2 1 x x x x + + 6. 6 5 3 2 y y ; Domain: 1 2 , 2 3 y y ≠ − 7. (a) ( ) 2 4 1 or 4 4 x x x x ; Domain: { } 1 x x ≠ − \ (b) 1; Domain: 2 3 0, , 3 2 x x x x ≠ − \ 8. (a) { } 2 ; Domain: 0, 2, 3 3 x x x x (b) { } 2 3 ; Domain: 0, 1,1 1 x x x x (c) 2 1 1 x x x x + 9. (a) 2 5 y x (b) 2 2 x y x y + (c) 4 2 16 9 x y 10. (a) 3 3 2 5 2 2 2 x y z y z (b) ( ) x x y + (c) 10 8 + (d) 2 7 12 x x y 11. (a) 4 x (b) 7 2 (c) 0 (d) cannot be simplified 12. (a) 32 3 (b) 256 13. (a) 3 2 3 a a a (b) 5 4 3 2 3 5 5 3 x x x x x + + (c) 3 2 5 2 1 2 1 x x x x + + + (d) 4 2 9 48 64 x x + (e) 3 2 8 36 54 27 x x x +
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14. (a) (empty) (b) 2 5 15. (a) 8
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