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3. For each function, give the domain, range, period, amplitude, max, min, and midline. Then sketch a well-labeled graph. a. f(x) = -10 sin *-6 10

3. For each function, give the domain, range, period, amplitude, max, min, and midline. Then sketch a well-labeled graph. a. f(x) = -10 sin *-6 10

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 9E
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what times is the satelite at lts apogee/ How lar iroi the earth s surface is it at this time? 840 720 b. At what times is the satellite at its perigee? How far from the earth's surface is it at this time? 600 480 C. State the period and amplitude of the function 360 240 d. Write a cosine function that models the situation. 120 e. Write a sine function that moders the situation. times (minutes) 30 60 90 120 150 180 2. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, he noticed a dead fish caught on one of the paddles. As the wheel turned, the distance, d, that the fish was from the water's surface was a sinusoidal function of time. When his stopwatch read 4 seconds, the fish was at its highest, 16 feet above the water's surface. It took another 10 seconds before the fish reached that height again. The diameter of the wheel was 18 feet. a. Sketch a graph. b. Write an equation. Show work to support your answer. C. How far above the surface was the point when Mark's stopwatch read: 17 seconds. Show work to support your answer 3. For each function, give the domain, range, period, amplitude, max, min, and midline. Then sketch a well-labeled graph. a. f(x) = -10 sin- b. f(x) = -3 cos [4 (x-) + 2 4. Draw a careful graph of each function and describe its properties in detail. a. y = 2 tan TX b. y = 6 csc() +3 C. y = sin-1x d. y = cos-1x 5. Find the exact value of each expression. Express all angle measures in Radians. Explain or show work leading to each answer. (Include triangles and unit circles.)
Transcribed Image Text:what times is the satelite at lts apogee/ How lar iroi the earth s surface is it at this time? 840 720 b. At what times is the satellite at its perigee? How far from the earth's surface is it at this time? 600 480 C. State the period and amplitude of the function 360 240 d. Write a cosine function that models the situation. 120 e. Write a sine function that moders the situation. times (minutes) 30 60 90 120 150 180 2. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, he noticed a dead fish caught on one of the paddles. As the wheel turned, the distance, d, that the fish was from the water's surface was a sinusoidal function of time. When his stopwatch read 4 seconds, the fish was at its highest, 16 feet above the water's surface. It took another 10 seconds before the fish reached that height again. The diameter of the wheel was 18 feet. a. Sketch a graph. b. Write an equation. Show work to support your answer. C. How far above the surface was the point when Mark's stopwatch read: 17 seconds. Show work to support your answer 3. For each function, give the domain, range, period, amplitude, max, min, and midline. Then sketch a well-labeled graph. a. f(x) = -10 sin- b. f(x) = -3 cos [4 (x-) + 2 4. Draw a careful graph of each function and describe its properties in detail. a. y = 2 tan TX b. y = 6 csc() +3 C. y = sin-1x d. y = cos-1x 5. Find the exact value of each expression. Express all angle measures in Radians. Explain or show work leading to each answer. (Include triangles and unit circles.)
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