Mathematics 30-1: Module 4 D7: 1 Assignment MODULE 4 LESSON 7 ASSIGNMENT (Graphing and Transforming Sine and Cosine, Functions 2) /20 marks 1. On grid paper, graph y = 2 cos [ 3 ( x - p) ] - 1 over the domain - 2p x 2p . Explain your process. Answer: (2) ( ) 1 5 p 2. On grid paper, graph f ( ) = sin + over the domain 2 x 2. Explain your process. 3 4 2 Answer: (3) 3. Use the partial graph of f(x) to complete the questions that follow. Assume f(x) is a sine function. 2012 Alberta Education Mathematics 30-1: Module 4 2 Assignment a. Determine the domain and range of the function. Answer: (3) b. Determine the amplitude, period, phase shift, and vertical displacement for the function. Answer: (3) c. Determine an equation, in standard form, for f(x). Answer: (3) 4. Recall the information in Focus about the lynx and the hare. Suppose a trigonometric function of the form y a cos [b(x c)] d was used to model the lynx population. a. What information would each parameter (a, b, c, and d) provide about the lynx population? Answer: (3) 2012 Alberta Education Mathematics 30-1: Module 4 3 b. What flaws do you see modelling this data using y a cos [b(x c)] d? Answer: (3) Submit your completed Lesson 7 Assignment to the dropbox D7 for assessment. 2012 Alberta Education Assignment