In Exercises 81-90, graph each function over a two-period interval.
81.
83.
85.
87.
89.
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
College Algebra and Trigonometry (4th Edition)
- How do I solve for all these problems and show workarrow_forwardGraph the equation over a one period interval show steps pleasearrow_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
- On 31 January, 2009, during a heat wave in Mildura, Victoria, the maximum temperature recordedwas approximately 44 ◦C and the minimum overnight temperature recorded was approximately 26 ◦C. (a) Using a sine function, write down an equation that models the temperature T (in ◦C) in Mildura on that day as a function of t (measured in hours since midnight). Explain how you determine each of the constants in your equation, and write down any assumptions you make.arrow_forwardIn Exercises 77-82, use a graphing utility to graph each function. Use a viewing rectangle that shows the graph for at least two periods. 77. y = tan 78. y = tan 4x 79. y = cot 2r 80. y = cot , 1 81. y = 82. y = tan(Tx + 1) 5 tan 7xarrow_forwardCos (-x)= - Cosx 1-1arrow_forward
- What is the graph of the function over a one-period interval?y = cot 7xarrow_forwardWhat is the period, amplitude, phase shift of y=-4sin2(x-45)arrow_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_forward
- In 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_forwardif tanx= -3.5 then tan (pi+x) =arrow_forwardIn Exercises 93-98, let f(x) = sin x, g(x) = cos x, and h(x) = 2x. Find the exact value of each expression. Do not use a calculator. 4 93. + fl 6 94. + 6. 6 17 95. (h º g) 3 97. the average rate of change of f from 37 X1 = to x2 = 2 98. the average rate of change of g from = Ix to x2 = T 4arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education