1. In your own words, describe what the amplitude and what the period means in graphing sine functions.

Amplitude:

Period:

Identify the amplitude and the period of the following sine functions.

2. f(θ) = 13sin2θ

amplitude:

period:

3. f(θ) = -24sin8θ

amplitude:

period:

Write the equation of the following sine curves.

On a piece of paper, graph . then determine which answer choice matches the graph you drew

Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?