You are a structural engineer who specializes in roller coaster design. Your job is to design your own roller coaster ride. To complete this task, please follow these steps: The amusement park gave you the following coaster requirements: - your coaster ride must have at least 3 drops -the ride length must be at least 4 minutes -the coaster ride starts at approximately 200-250 feet high (y-intercept is between 200 - 250 feet) -the ride dives below the ground into a tunnel at least once Use your notebook to complete the following tasks to write your report on you Roller Coaster Design. Label each part clearly. Your work MUST be neat, organized and must appear professional. 1. FIRST!!! Draw a rough sketch of your "roller coaster". Then translate the ride onto a coordinate plane where the x axis is time in minutes and the y axis is altitude in feet. Note: Be sure to illustrate your x-axis and y-axis scale to identify the length of the ride and the height of the ride you are designing. Make sure your design meets all the criteria listed above. 2. List All zeros or roots of your polynomial 3. Write the complete factored form of your roller coaster polynomial, including imaginary factors. 4. Find the equation in standard form that represents your roller coaster ride. 5. Perform long division and/or synthetic division to verify your factors are correct. 6. Describe the end behavior of your function and give a reason for this behavior. 7. Draw an accurate graph of your polynomial. 8. State the practical domain of your graph (that is, the actual ride). 9. State the practical range of your graph (that is, the actual ride) 10. Color the graph blue where the polynomial is increasing and red where the polynomial is decreasing and identify increasing, decreasing, and constant intervals. 11. Label the local maximum and minimum points on the graph.