13,19,25,31 6,4 Graphs of the Sine and Cosine Functions 4178. True or False The graph of the sine function has infinitelymany x-intercepts.9. Multiple Choice One period of the graph of y = sin (wx )or y = cos (wx) is called a(n)(a) amplitude(c) transformationnd occurs at.r=and w =riod 2, then A =and(b) phase shift(d) cycle10. Multiple Choice To graph y = 3 sin (-2x) using key points,the equivalent form(a) y = -3 sin (-2x)(c) y = 3 sin (2x)periodcould be graphed instead.(b) y = -2 sin (3x)(d) y = -3 sin (2x)period is 5Skill Building/L 3) = sin rWhat is the y-intercept of the graph of f?12. g(x) = cos x(a) What is the y-intercept of the graph of g?(b) For what numbers x, - TSXST, is the graph of gdecreasing?(c) What is the absolute minimum of g?(d) For what numbers x,0 s xS 27, does g(x) = 0?(e) For what numbers x, -2m SxS 27, does g(x) = 1?Where does g(x) = -1?(f) For what numbers x, -27SXS 27, does g (x) =(g) What are the x-intercepts of g?increasing?a What is the absolute maximum of f?(C) what numbersx,0 s x < 27 , does f(x) = 0?Where does f(xr) = -1?o For what numbers x, - 27 s x < 27, does f(x) =(2) What are the x-intercepts of f?ayc 13-22, determine the amplitude and period of each function without graphing.V3,14. y = 3 cos xIR y = 5 sin x15. y = -3 cos (4x)16. y = - sin\ny= 6 sin (7.x)18. y = -3 cos (3x)19. y = -20. y =1021. y= Sin22. y =Problems 23-32, match the given function to one of the graphs (A)-(J).2 y = 2 sin24. y = 2 cos25. y = 2 cos26. y = 3 cos (2x)27. y = -3 sin (2x)(128. y = 2 sinx-2T4TT29. y = -2 cosx30. y = --2 cos31. y = 3 sin (2r)32. y = -2 sin(A)-24TT-2TT4TT-ITTT3T5T X(D)(C)2245-2|(G)(E)(F)

Name: 13,19,25,31 6,4 Graphs of the Sine and Cosine Functions 4178. True or
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Description: 13,19,25,31 6,4 Graphs of the Sine and Cosine Functions 4178. True or False The graph of the sine function has infinitelymany x-intercepts.9. Multiple Choice One period of the graph of y = sin (wx )or y = cos (wx) is called a(n)(a) amplitude(c) trans