Tutorials--Sine Functions in Tabular and Graph Form
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This document describes 65 tutorials that provide examples of constructing tables and graphs for sine functions of the form y = a*sin(bx + c) + d, with varying values for the coefficients a, b, c, and d. Each tutorial works through an example with different coefficient values to demonstrate how to represent sine functions in tabular and graphical form for different periodic behaviors and vertical and horizontal shifts.
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Tutorials--Sine Functions in Tabular and Graph Form
- 1. Sine Functions in Tabular and Graph Form
- 2. Overview This set of tutorials provides 65 examples of sine functions in tabular and graph form.
- 3. 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.
- 4. 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.
- 5. 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.
- 6. 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.
- 7. 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.
- 8. 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.
- 9. 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.
- 10. 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.
- 11. 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.
- 12. 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.
- 13. 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.
- 14. 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.
- 15. 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.
- 16. 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.
- 17. 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.
- 18. 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.
- 19. 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.
- 20. 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.
- 21. 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.
- 22. 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.
- 23. 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.
- 24. 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.
- 25. 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.
- 26. 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.
- 27. 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.
- 28. 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.
- 29. 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.
- 30. 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.
- 31. 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.
- 32. 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.
- 33. 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.
- 34. 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.
- 35. 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.
- 36. 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.
- 37. 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.
- 38. 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.
- 39. 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.
- 40. 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.
- 41. 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.
- 42. 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.
- 43. 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.
- 44. 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.
- 45. 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.
- 46. 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.
- 47. 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.
- 48. 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.
- 49. 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.
- 50. 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.
- 51. 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.
- 52. 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.
- 53. 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.
- 54. 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.
- 55. 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.
- 56. 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.
- 57. 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.
- 58. 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.
- 59. 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.
- 60. 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.
- 61. 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.
- 62. 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.
- 63. 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.
- 64. 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.
- 65. 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.
- 66. 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.
- 67. 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.