Periodic Functions

Question 1

8.1 Example 1: Determine the period of the function f (x) = sin (pi/6(x)).

Answer 1

12 (p.773)

Question 2

8.1 Example 3: Determine the direction and magnitude of the phase shift for f (x) = sin (x+π/6) - 2.

Answer 2

-π/6 (p.776)

Question 3

8.1 Example 5: Determine the midline, amplitude, period, and phase shift of the function y = 3 sin (2x) + 1.

Answer 3

The amplitude is 3. The period is π. The phase shift is 0. The midline is 1. (p.777)