1. Given the function defined by y=36sin(2x+/2), determine the solutions to each question below. Show your work and explain how you determine each characteristic of the function. a. What is its period? b. What is the amplitude of its graph? c. What is its domain and range? d. What is the y-intercept of its graph? e. What is its phase shift? f. Sketch two periods of the graph of this function. Label the axes with key val

2. Describe each of the following properties of the graph of the cosine function, f() = cos(), and relate the property to the unit circle definition of cosine and write a paragraph.

• Amplitude
• Period
• Domain
• Range
• x-intercepts

Your response must include:

• A discussion of the amplitude, period, domain, and range of the cosine function.
• A relation of each property to the unit circle. For example, if discussing the domain, describe how the domain of cosine is based on the unit circle.