In Exercises 43-60, graph each function over a two-period interval.
43.
45.
47.
49.
51.
53.
55.
57.
59.
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
College Algebra and Trigonometry (4th Edition)
- Write an equation for the line graphed below 25 sin (a) ∞ a tv T ล TOT 422 E} Submit Assignment Carrow_forwardLuke correctly graphs the fundamental period of the function f (x) = sin x. How can he describe the process? Drag a value or coordinates to each box to correctly complete the statements. The sine function's fundamental period is The y-intercept of the function is Plot the points Connect the points in a smooth curve. (-백V3), (-품, 1), (0, 0), (등, -1), and (종, -V3) (0,0) (0, 1) (1,0) (-5,-V3), (-품,-1), (0,0), (등, 1), and (품, V3) (0, 1), (플, 0), (T, -1), (,0), and (2π, 1) (0,0), (플, 1), (m, 0), (, -1), and (2π, 0)arrow_forwardIn Exercises 35–42, determine the amplitude and period of each function. Then graph one period of the function. 35. y = cos 2x 36. y = cos 4x 37. y = 4 cos 2nx 38. y = 5 cos 27x 39. y = -4 cos x 40. y = -3 cos x 1 41. y = - 5 cos 42. y = cos 1/2arrow_forward
- In Exercises 69–72, sketch the graph of the given function. What is the period of the function? 69. y = cos 2x 70.) y = sin 71. y = sin 7x 72. y = cos TX 73. Sketch the graph y = 2 cos (x – 74, Sketch the graph y = 1 + sin (x +arrow_forwardIn Exercises 59–62, sketch the graph of the given function. What is the period of the function? 59. y = cos 2x 60. y = sin x/2 61. y = sin paix 62. y = cos paix/2arrow_forwardGraph one period of the function f(x) = -sin(3x)arrow_forward
- In Exercises 14–17, graph one period of each function. = -2em(x = }) 14. y = 3 sin 2x 15. y = -2 cos x - 16. y = 2 tan 17. y = - csc TXarrow_forwardUse the graphing utility to plot the curve y = sin (x) and the horizontal lines y -1 and y = 2 %3D (When using the graphing utility, separate each expression with a comma.) ソ= у 2 6. -1- powered by desmos -2 +arrow_forwardSketch the graph of the functions f(x)=sin x, f(x)=cos x, and f(x)=tan x. Show at least two periods on each graph and indicate their domain and range.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage