CHAPTER 6 REVIEW EXERCISES GRAPHS OF THE SINE AND COSINE FUNCTIONS For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. 1. f(x) = -3cos x + 3 2. f (x ) = -sinx 3. f(x) - 3cos (x + " ) 4. f(x) - -2sin (x _ 27 5. f (x) - 3sin(x - " )- 4 6. f(x) -2 cos(x -3 ) + 1) 7. f(x) - 6sin (3x -) -1 8. f(x) = -100sin(50x - 20) GRAPHS OF THE OTHER TRIGONOMETRIC FUNCTIONS For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes. 9. f(x) = tan x -4 10. f(x) = 2tan(x -") 11. f(x) = -3tan(4x) 12. f(x) = 0.2cos(0.1x) + 0.3 For the following exercises, graph two full periods. Identify the period, the phase shift, the amplitude, and asymptotes. 13. f(x) = = sec x 14. f(x) = 3cot x 15. f(x) = 4csc(5x) 16. f(x) - 8sec( 1x) 17. f60) - 3 CSC(x) 18. f(x) = csc(2x | 7) For the following exercises, use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population may be modeled by the following function:y = 12.000 8,000sin(0.628x), where the domain is the years