35-59 odd , please show work on graph paper
ale ritic many Chinese se characters .$ against them in Mes. The aroma filled the an volleyball practice. Ready to ward to the runs and exercises in. "CHINK"! I looked around nely surprised to see a college in short, "Go back to China!" Stop eating dogs!" and many thought that everyone was becor emners already had is a strong smell, Images the yellow peril,' and the actually, literally yello with prosthetics to ributed to the stere white state and xperienced my packed me some kis ic person said n7 I was pre West rose with the Boxer hey pulled ese "friends . refusing to ,oliense , ild have. Trigonometry RCISES Section 4.5 e blanks. See www.CalcChat. com for worked out solutions to add-numbered exer Graphs of Sir raphs of s cosine function is called one - of the sine or cosine curve 15. /(x) = - - sir in 36. /(x) = 4 sin ax GRAPHICAL REASONIN ICAL FEASONIN " cosine curve represents half the distance between the maximum and minimum val sin d for the function f (x) = lunch on fu)= (x) = 3- g(x) = 4 sin mix - 3 f matches the figure. es the I ure y y = a sin(bx - c). rep c). - represents the of the graph of the function. 37. f(x) = 2 cost 38. (x) = - cos x y = d + a cos(bx - c). d represents a of the graph of the function. g(x) = 2 cos(x + ") g(x) = - cos(x - 7) ONS In Exercises 39-60, sketch the graph of the function. (Include two full periods.) iod and amplitude. In Exercises 19-26, describe the relationship between the 39. y = 5 sin x 10. y = a sin X 6. y = 3 cos 2x graphs of f and g. Consider amplitude, period, and shifts 41. y = 1 COS . 12. y = 4 cos x 75. 19. (x) = sin x 20. f(x) = cos x 13. y = cos 14. y = sin 4x g(x) = sin(x - #) g(x) = cos(x + +) 21. f(x) = cos 2x 22. f(x) = sin 3x 45. y = cos 2 1 46. ye sin g(x) = - cos 2x g(x) = sin(-3x) 23. f(x) = cos x 24. f(x) = sin x 47. y= - sin 18. y = -10 cos g(x) = cos 2 g( x) = sin 3x GRAPHICAL REASO APHIC L REASC 25. f(x) = sin 2 26. f(x) = cos 4x 49. y = sin(x - 50. y = sin(x - 2a) and c for the functi c for he funct y = -3 sin 7 oh of f matches th s(x) = 3 + sin 2r g(x) = -2+ 0os 41 graph of f matches the 51. y = 3 cos(x + w) 52. y = 4 cos( x + #) 77. In Exercises 27-30, describe the relationship between the graphs of f and g. Consider amplitude, period, and shifts. 53. y = 2 - sin TX 54. y = -3 +5cos 17 27. 28. 55. y = 2 + 10 COS 60 TX 56. y = 2 cos x - 3 57. y = 3 cos(x + 7) - 3 58. y = 4 cos(x + #)+ 4 AAMAA. 59. y = = cos( # - ) 60. y = -3 cos(Gx + ) 79. -3+ In Exercises 61-66, & is related to a parent function 29. 30. f(x) = sin(x) or f(x) = cos(x). (a) Describe the sequence of transformations from f to g. (b) Sketch the graph of g. (c) Use MA function notation to write g in terms of f. 61. g(x) = sin(4x - 7) 62. g(x) = sin(2+ + #) -2+ 63. g(x) = cos(x - w) + 2 64. g(x) = 1 + cos(x + #) In Exercises 81 at In Exercises 81 at yz in the interva 2 in the interva 65. g(x) = 2 sin(4x - 7) - 3 66. g(x) = 4 - sin(2x + #) numbers x such numbers x such -COS - 3 In Exercises 31-38, graph f and g on the same set of In Exercises 67-72, use a graphing utility to graph the 81. y, = sin x 81. sin x sin ox coordinate axes. (Include two full periods.) function. Include two full periods. Be sure to choose an appropriate viewing window. 31. f(x) = -2 sin .x COS - 32. f(x) = sin x In Exercises 83- rcises 83 67. y = -2 sin(4x + #) 68. y = -4 sin( x - =) ser bed by th g(x) = 4 sin x described by th g(x) = sin = 69. y = cos 2 x - 7) + 1 COS 83. A sine c o.J. sine cu 10 33. f(x) = cos x 34. f(x) = 2 cos 2x a right ph fight ph 70. y = 3 cos( X + 7) - 2 1 unit I unit g(x) = 2 + cos x g(x) = - cos 4x 71. y = -0.1 sin( "in + w) 72. y = Tosin 120uf
