Pre-Calculus/Trig 3



Pre-Calculus/Trig 3 Name ____________________________________

Worksheet – Graphing Trig Functions

Find the amplitude and period or each function.

Amplitude Period Amplitude Period

1. [pic] ________ ________ 6. [pic] ________ ________

2. [pic] ________ _______ 7. [pic] ________ ________

3. [pic] ________ ________ 8. [pic] ________ ________

4. [pic] ________ ________ 9. [pic] ________ ________

5. [pic] ________ ________ 10. [pic] ________ ________

Graph the following functions over [pic].

11. [pic] 16. [pic]

12. [pic] 17. [pic]

13. [pic] 18. [pic]

14. [pic] 19. [pic]

15. [pic] 20. [pic]

Give the period of each. Locate all asymptotes between 0 and [pic].

Period Asymptotes

21. [pic] ________ ____________________

22. [pic] ________ ____________________

23. [pic] ________ ____________________

24. [pic] ________ ____________________

25. [pic] ________ ____________________

26. [pic] ________ ____________________

27. [pic] ________ ____________________

28. [pic] ________ ____________________

Graph the following functions over [pic].

29. [pic] 34. [pic]

30. [pic] 35. [pic]

31. [pic] 36. [pic]

32. [pic] 37. [pic]

33. [pic] 38. [pic]

Give the period of each. Locate all asymptotes between 0 and [pic].

Period Asymptotes

39. [pic] ________ ____________________

40. [pic] ________ ____________________

41. [pic] ________ ____________________

42. [pic] ________ ____________________

43. [pic] ________ ____________________

44. [pic] ________ ____________________

45. [pic] ________ ____________________

46. [pic] ________ ____________________ 47.[pic] ________ ____________________

Graph the following functions over [pic].

48. [pic] 53. [pic]

49. [pic] 54. [pic]

50. [pic] 55. [pic]

51. [pic] 56. [pic]

52. [pic] 57. [pic]

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