A. Create a height/time graph for a roller coaster that: has the domain: { teR | 0st s 100 seconds } has a maximum height of 100 metres. Includes a polynomial function of degree 3 or 4. Includes a sinusoidal function (in radians). Includes an exponential function. Includes a logarithmic function. The overall function must be continuous. Don't worry about starting and ending at h = 0. You may use any of the functions more than once. Make sure that part(s) of your graph are higher than 50 metres. Write your final answer as a piecewise function