1. 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Domain Symmetry Function Operations Misc.Inverses

2. What is the domain?

3. X > 4 Except for 6

4. What is the domain?

5. (-∞, -7]  [7, ∞)

6. What is the domain?

7. [-9, 9]

8. What is the domain? f(X) = ½ X 2 - 6

9. All Real Numbers

10. What is the domain?

11. X ≥ 1 Except 10

12. Identify all possible symmetries. Y = X 2 – 4|X|

13. Y-Axis Symmetry

14. Identify all possible symmetries. Y = -X + 4X |X|

15. Origin

16. Identify all possible symmetries. Y 2 - 8X =0

17. X-Axis Symmetry

18. Identify all possible symmetries. Y = X 3 – X 5

19. Origin Symmetry

20. Identify all possible symmetries. Y = X 3

21. Origin

22. f(X) = X + 4 g(X) = 7 – X Find f -1  g -1

23. 3 – X

24. f(X)=3X + 5 and g(X)=5 – X. Find: A) f °g B) g ° f C) (f °g)(-8)

25. A)20 – 3X B)-3X C)44

26. f(x) = 3X + 1 and g(X) = X+ 2 Find A) f(g(X)) and B) g(f(X))

27. A)3X + 7 B)3X + 3

28. f(x) = 3X + 1 and g(X) = X+ 2 find A) f(X)  g(X) B) f(X) / g(X)

29. A)3X 2 + 7X + 2 B) (3X+1) / (X + 2)

30. f(X) = 3X + 5 and g(X) = X + 4 Find: A) (f – g)(3) B) (fg)(5)

31. A)7 B) 180

32. Write the inverse. f(X) = 1 – X 3

34. Write the inverse. f(X) = ½ X – 5

37. 3X – 3; X ≥ 1

38. f(X) = X 2 – 8 g(X) = X 3 – 4 Find f – g and its domain.

39. -X 3 + X 2 – 4; All Real Numbers

40. Write the inverse function. f(X) = X + 15

42. Where is the function increasing and where is it decreasing?

43. Increasing:(-1.16, 1.16) Decreasing: (-00, -1.16) and (1.16, 00)

44. Find the functions’s local minimum and local maximum.

45. Local Min: (-1.16, -.77) Local Max: (1.16,.77)

46. Is the function even, odd, or neither?

47. Odd

48. Where is the function increasing and where is it decreasing?

49. Increasing: (0, 5] Decreasing: [-5, 0)

50. Is the function even, odd, or neither?

51. Even