6.5 answer key_________________________________________________________________________________
6.6 answer key___________________________________________________________________________________
6.7 answer key____________________________________________________________________________________
6.8 answer key____________________________________________________________________________________
17. The graphs have the same period and range. The asymptotes are in different places. πππ π = πππ(π βπ
π)
6B Review (Problems from the book)________________________________________________________________
15. Per: 2π, Amp: 3 16. Per: π
2, Amp: 1
17. π¦ = 4 sin 4π
18. Period: 4, Amp: 2 19. Period: π, Amp: 1
20. π¦ = 3 cos 2π 21. 0.58, 1.00, 2.15, 2.57, 3.72, 4.14, 5.29, 5.71 22. 0.70, 1.30, 2.70, 3.30, 4.70, 5.30
23. Per: 2π, Amp: none since itβs tangent) 24. Per: π
3, Amp: none since itβs tangent
25. Per: π, Amp: none, Vert. Stretch: 2 26. Per: π
2, Amp: none, Vertical Stretch: 4
27. Per: 2π, Amp: 1, Phase Shift (PS): π
2 left 28. Per: 2π, Amp: 2, Vert. shift (VS): down 4
29. Per: 2π, Amp: 1, PS: π right, VS: up 3 30. Per: 2π, Amp: 1, PS: π left, VS: down 1
31. π¦ = sin (π₯ βπ
4) 32. π¦ = cos π₯ β 2 33. β2 34. β
β3
3 35. 2 36. β3
37. Per: 2π, VA: π₯ = 0, π₯ = π, π₯ = 2π, ππ‘π. 38. Per: 2π, VS: down 1, VA: π₯ = βπ
2, π₯ =
π
2, π₯ =
3π
2. ππ‘π.
39. Per: 4π, VA: π₯ = 0, π₯ = 4π, π₯ = 8π, ππ‘π. 40. Per: 4π, VS: up 2, VA: π₯ = 0, π₯ = 2π, π₯ = 4π, ππ‘π.