679 CHAPTER 6 Test 18. Ferris Wheel A Ferris wheel has radius 50.0 ft. A person takes a seat, and then the wheel turns 2p 3 radians. (a) How far is the person above the ground? (b) If it takes 30 sec for the wheel to turn 2p 3 radians, what is the angular speed of the wheel? 19. Identify each of the following basic circular function graphs. (a) x 0 y –1 1 –2p 2p –p p (b) 2 1 0 –1 –2 3p 2 2 p p p 2 –p –2p y x (c) 2 1 0 –1 –2 3p 2 2p p p 2 –p –2p y x (d) –2 y 0 1 2 x –p 2 p 4 p 2 (e) –1 0 1 y –2p 2p –p p x (f) 0 1 –1 y x p p 4 p 2 20. Connecting Graphs with Equations Determine the simplest form of an equation for each graph. Choose b 70, and include no phase shifts. (a) 0 1 –1 –2 2 y 4p x 3p 2 p p (b) 0 1 2 –1 –2 y p x p 2 p 4 3p 4 21. Answer each question. (a) What is the domain of the cosine function? (b) What is the range of the sine function? (c) What is the least positive value for which the tangent function is undefined? (d) What is the range of the secant function? 22. Consider the function y = 3 - 6 sin A2x + p 2 B. (a) What is its period? (b) What is the amplitude of its graph? (c) What is its range? (d) What is the y-intercept of its graph? (e) What is its phase shift?
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