Assessment 2 In this assessment, you will be analyzing the flight path of a loon flying over Limerick Lake. The flight path can be modelled by the equation h(x) = 4x -6x - 4x, where h represents the height above water and x represents the horizontal distance from the centre of the lake in metres. Answer the following questions about the flight of the loon: Marking Scheme 1. Determine all the roots of the function by factoring fully. (KU/App 3 marks) 2. Classify the order of each of the roots. What happens to the graph at each of these roots? (KU/App 2 marks) 3. Identify the degree and name of the function. (KU/App 1 mark) 4. Identify the leading coefficient and end behaviours of the graph. (KU/App 1 mark) 5. Sketch the graph WITHOUT the use of technology based on questions 1) to 4). (Make sure to fully label the graph) (KU/App 5 marks) 6. Use your preferred online graphing tool to graph the function. Compare the function to your solution in 5). (KU/App 2 marks) 7. State the domain and range with reasonable restrictions for the context of this problem. Explain. (Thi/Comm 3 marks) 8. Explain each part of the graph in context of the given question (i.e., how does the shape of the graph relate to what the loon is doing). More specifically, discuss: a. What do the end behaviours tell you about the flight path? (Thi/Comm 3 marks) b. What are the reasons for the roots in the flight path? (Thi/Comm 3 marks)