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Sine Functions in Tabular and Graph Form

Tutorials--Sine Functions in Tabular and Graph Form

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Page 1: Tutorials--Sine Functions in Tabular and Graph Form

Sine Functions in Tabular and Graph Form

Page 2: Tutorials--Sine Functions in Tabular and Graph Form

OverviewThis set of tutorials provides 65 examples of sine functions in tabular and graph form.

Page 3: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 01. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: a = 1, b = 0.

Page 4: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 02. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: a > 1, b = 0.

Page 5: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 03. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: a < -1, b = 0.

Page 6: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 04. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: 0 < a < 1, b = 0.

Page 7: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 05. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: -1 < a < 0, b = 0.

Page 8: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 06. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: a = 1, b = π.

Page 9: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 07. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: a > 1, b = π.

Page 10: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 08. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: a < -1, b = π.

Page 11: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 09. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: 0 < a < 1, b = π.

Page 12: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 10. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: -1 < a < 0, b = π.

Page 13: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 11. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: a = 1, b = π/2.

Page 14: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 12. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: a > 1, b = π/2.

Page 15: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 13. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: a < -1, b = π/2.

Page 16: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 14. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: 0 < a < 1, b = π/2.

Page 17: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 15. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) with these characteristics: -1 < a < 0, b = π/2.

Page 18: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 16. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a = 1, b = 0, c = 1.

Page 19: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 17. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a > 1, b = 0, c = 1.

Page 20: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 18. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a < -1, b = 0, c = 1.

Page 21: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 19. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: 0 < a < 1, b = 0, c = 1.

Page 22: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 20. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: -1 < a < 0, b = 0, c = 1.

Page 23: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 21. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a = 1, b = π, c = 1.

Page 24: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 22. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a > 1, b = π, c = 1.

Page 25: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 23. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a < -1, b = π, c = 1.

Page 26: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 24. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: 0 < a < 1, b = π, c = 1.

Page 27: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 25. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: -1 < a < 0, b = π, c = 1.

Page 28: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 26. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a = 1, b = π/2, c = 1.

Page 29: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 27. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a > 1, b = π/2, c = 1.

Page 30: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 28. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a < -1, b = π/2, c = 1.

Page 31: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 29. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: 0 < a < 1, b = π/2, c = 1.

Page 32: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 30. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: -1 < a < 0, b = π/2, c = 1.

Page 33: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 31. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a = 1, b = 0, c = -1.

Page 34: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 32. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a > 1, b = 0, c = -1.

Page 35: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 33. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a < -1, b = 0, c = -1.

Page 36: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 34. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: 0 < a < 1, b = 0, c = -1.

Page 37: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 35. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: -1 < a < 0, b = 0, c = -1.

Page 38: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 36. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a = 1, b = π, c = -1.

Page 39: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 37. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a > 1, b = π, c = -1.

Page 40: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 38. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a < -1, b = π, c = -1.

Page 41: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 39. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: 0 < a < 1, b = π, c = -1.

Page 42: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 40. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: -1 < a < 0, b = π, c = -1.

Page 43: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 41. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a = 1, b = π/2, c = -1.

Page 44: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 42. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a > 1, b = π/2, c = -1.

Page 45: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 43. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: a < -1, b = π/2, c = -1.

Page 46: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 44. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: 0 < a < 1, b = π/2, c = -1.

Page 47: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 45. In this tutorial, construct a function table and graph for a sine function of the form y = sin(ax + b) + c with these characteristics: -1 < a < 0, b = π/2, c = -1.

Page 48: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 46. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b = 1, c = 0, d = -1, a > 1.

Page 49: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 47. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b > 1, c = 0, d = -1, a > 1.

Page 50: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 48. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b < -1, c = 0, d = -1, a > 1.

Page 51: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 49. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: 0 < b < 1, c = 0, d = -1, a > 1.

Page 52: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 50. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: -1 < b < 0, c = 0, d = -1, a > 1.

Page 53: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 51. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b = 1, c = π, d= -1, a > 1.

Page 54: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 52. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b > 1, c = π, d = -1, a > 1.

Page 55: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 53. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b < -1, c = π, d = -1, a > 1.

Page 56: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 54. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: 0 < b < 1, c = π, d = -1, a > 1.

Page 57: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 55. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: -1 < b < 0, c = π, d = -1, a > 1.

Page 58: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 56. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b = 1, c = 0, d = -1, a < -1.

Page 59: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 57. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b > 1, c = 0, d = -1, a < -1.

Page 60: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 58. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b < -1, c = 0, d = -1, a < -1.

Page 61: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 59. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: 0 < b < 1, c = 0, d = -1, a < -1.

Page 62: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 60. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: -1 < b < 0, c = 0, d = -1, a < -1.

Page 63: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 61. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b = 1, c = π, d = -1, a < -1.

Page 64: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 62. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b > 1, c = π, d = -1, a < -1.

Page 65: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 63. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: b < -1, c = π, d = -1, e < -1.

Page 66: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 64. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: 0 < b < 1, c = π, d = -1, a < -1.

Page 67: Tutorials--Sine Functions in Tabular and Graph Form

Tutorial--Sine Functions in Tabular and Graph Form: Example 65. In this tutorial, construct a function table and graph for a sine function of the form y = a * sin(bx + c) + d with these characteristics: -1 < b < 0, c = π, d = -1, a < -1.