ecsd.desire2learn.com df i C 139 Final Assignment Unit F: Sinusoidal Functions Please complete the assignment on separate paper, scan and upload to the dropbox folder "Unit F Final Assignment" 1. Select one of the real-life sinusoidal functions from the list below. In this question, you will create some context (independent variable (x-axis), dependent variable (y- axis), and realistic numbers) that supports the scenario you chose. You may need to do a bit of research to gather realistic numbers and correct units of measure. The average monthly temperatures in Edmonton over the course of 2 years II. The rotation of a car tire that has a rockail imbedded in it III. Fluctuating cost of a natural gas bill throughout the 4 seasons IV. The average monthly hours of daylight per day in Edmonton over the course of 2 years A leaf bobbing up and down in the ocean a) The example that I chose was: /1 b) If you were to graph this what would be the independent variable (x-axis)? What would be the dependent variable (y-axis)? Explain. 12 c) Create a table of values that could models your problem. Below is an example template. Provide 2 full cycles. 12 Independent Variable: Dependent Variable: d) Explain what the highest point on your graph is? The lowest point? 13 e) How long will your function take to complete one full cycle and 12 start over again? Explain. 139 f) Where does your graph begin/start? Explain. g) Sketch a graph of this function. Your graph must be clear and include 14 these key elements: i. Title, is a proper sinusoidal function, clear/legible (1 mark) ii. Labelled x & y Axis (1/2 mark) iii. Start point (1/2 mark) iv. Maximum/Minimum (1/2 mark) v. Period (1/2 mark) vi. Median (1/2 mark) vii. Amplitude (1/2 mark) h) Determine the sinusoidal equation of your example in the form: 14 y = asin (bx + c) + d. i) Determine the domain and range of your function. 12 2. When comparing two different sinusoidal functions that are in the form y = asin (bx + c) + d we noticed that: . Function 1 has quadruple the amplitude of function 2 Function 2 has one-third the period and triple the median value of function 1 a) Create two possible sinusoidal functions that are in the form 14 y = asin (bx + c) + d that satisfy the conditions stated above. 4 4 PAGES S V