1. Graph f(x)=1-2sin(3x) over one period. Label the graph including the key points and y-intercept.

Amplitude:

Period:

Phase Shift:

Vertical Shift:

y-intercept:

Table of key points:

2. Sketchf(x)=tan(3x) over one period. Label the graph including the key points and y-intercept.

Amplitude:

Period:

Phase Shift:

Vertical Shift:

y-intercept:

Table of key points:

3. What is the equation of the cosine function with amplitude 4, period 3, phase shift 2, and vertical shift 5?

4. Which intervals that are included in the domain of f(x)=ln(cosx)?

Justify your answer.

a. [0,) b. (0, 2] c. (2, 0] d. [0, 2) e. (23, 2]