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Calculus for Life Sciences by Karl Smith, Wayne Getz, Sebastian J. Schreiber

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ANSWERS TO SELECTED PROBLEMS

CHAPTER 1

Problem Set 1.1, Page 20

1. a. yes; D: {3, 4, 5, 6}; R: {4, 7, 9} b. no

3. a. no b. yes; D : x ≠ 0; R: {−1, 1}

5. a. no b. yes; D : images; R : y ≥ −4

7. a. yes; D : images; R: y ≥ 0 b. yes; D: images; R: images

9. a. no; D: −2 ≤ x ≤ 2; R: −4 ≤ y ≤ 4 b. yes; D : x ≠ ±2; R : y ≠ 1

11. a. no; D : x ≥ −3; R: images b. yes; D: images; R: y ≥ −80

13. D = images; f(0) = 3; f(1) = 4; f(−2) = −5

15. D = images, x ≠ 3; f(2) = 0; f(0) = −2; f(−3) not defined

17. D = images; f(3) = 4; f(1) = 2; f(0) = 4

19. F(x) = x2

21. 8; −7; −16; M(x) = 3x − 7

23. D: −6 ≤ x ≤ 6; R: −6 ≤ y ≤ 5; decreasing on [−6, 0); increasing on (0, ...

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