You decided to become a structural engineer who specializes in roller coaster design. Your job is to design your own piece of a rollercoaster ride. To complete this task, please follow these steps:The amusement park you are designing for, gave you the following coaster requirements-Your piece of the coaster ride must have at least 3 x-interceptsThe ride length must be 1 minute in length (total between the four sections)The coaster ride starts at O feet. (If person 1 ends their ride at 25 feet, then person two starts at 25 feet.)The ride dives below the ground into a tunnel at least once per sectionRough Draft: Use a clean sheet of paper to complete the following tasks to write your report on your Roller Coaster DesignFinal Draft Requirements: Write neatly or type answers. Label each part clearly. Your work MUST be neat, organized, and appearprofessional.1. Draw a rough sketch of your "roller coaster" ride on a coordinate plane.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 aredesigning. Make sure your design meets all the criteria listed above.2. List all zeros or roots of your polynomial. Be sure to include at least one of each of the following on your design:a. one double root (multiplicity of 2)b.at least 2 real roots (multiplicity of 1 and multiplicity of 3)It might be necessary to go back to your design and modify it according to these root requirements3. Write the complete factored form of your roller coaster polynomial.4.State the degree and leading coefficient of your individual polynomial5. Describe the end behavior of your function and give a reason for this behavior (ie the leading coefficient and degree of thepolynomial)6. Draw an accurate graph of your polynomial.7. State the practical domain of your graph in inequality notation. (that is, the actual ride).8. State the practical range of your graph in inequality notation. (that is, the actual ride)These will NOT be (-00, 00)9. Draw the number line for your portion of the graph and represent the x-intercepts with open circles and the positive andnegative locations using the shading technique.10. Color the graph blue where the polynomial is increasing and red where the polynomial is decreasing11. Draw a nice and clean picture of your portion of the graph on graph paper.12. Remember to name your rollercoaster!