Description Students will work in a group of two (maximum three) in this summative task and will divide up the work accordingly to produce successful rollercoaster model This project is worth 7% of the final mark Objective Students will create a rough draft on a graph paper following the restrictions below. You will be given time in class to create a rough design and hand in your rough design. Then you will create your final project based on your rough design A copy of your rough design will be kept in file for us to make sure your final design is based on your rough design. You will need to find the equations for each function chosen, and find the appropriate domain restrictions. Your final rollercoaster must also be plotted in Desmos. In this project you will require to submit the following: * Rough draft an graph paper a You must include the following functions in your model 1 linear/'l quadratic . 1 polynomial (degree 3 or higher) . 1 rational . 1 sinusoidal . 1 exponential The x-axis is time. The ride must be completed in exactly 4 minutes a The y-axis is height above the ground. Your rollercoaster must have a maximum height of 80 metres and minimum height of 5 metres above the ground. Your rollercoaster cannot go underground. You can also include a loop in your design. a The ride initially rises linearly to an initial height of 10 metres