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Domain and Range Answers
1. Domain: all real numbers; Range: all real numbers.
2. Domain: (-∞, 4]; Range: [0, ∞).
3. Domain: (-∞, 1) ∪ (1, 3); Range: (-∞, ∞).
4. Domain: all real numbers; Range: [1/4, ∞).
5. Domain: (-∞, 2) ∪ (2, ∞); Range: (-∞, 0) ∪ (0, ∞).
6. Domain: all real numbers; Range: (-∞, ∞).
7. Domain: all real numbers; Range: [0, ∞).
8. Domain: all real numbers; Range: (0, ∞).
9. Domain: all real numbers; Range: [-1, 1].
10. Domain: (0, ∞); Range: (-∞, ∞).
11. Domain: (-∞, 0) ∪ (0, ∞); Range: (-∞, 0) ∪ (0, ∞).
12. Domain: (-∞, -2) ∪ (-2, 2) ∪ (2, ∞); Range: (-∞, 0) ∪ (0, ∞).
13. Domain: (-∞, 0) ∪ (0, ∞); Range: (0, ∞).
14. Domain: all real numbers; Range: [-1, 1].
15. Domain: (-∞, 1) ∪ (1, ∞); Range: (-∞, -5/2) ∪ (-5/2, ∞).
16. Domain: (-∞, 1) ∪ (1, ∞); Range: (-∞, ∞).
17. Domain: (kπ - π/2, kπ + π/2), where k is an integer; Range: (-∞, ∞).
18. Domain: (-∞, -1) ∪ (-1, 1) ∪ (1, ∞); Range: (-∞, 0) ∪ (0, ∞).
19. Domain: all real numbers; Range: [-3, 1].
20. Domain: (-∞, -1) ∪ (-1, ∞); Range: (-∞, ∞).
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