Q1. Design a roller coaster(polynomial equation) (you may use Desmos ).

Part a)

The requirements for the equation follow.

x is time from the start of the ride, in seconds

• y is the height of the passengers from the ground, in metres
• The domain of your function must be at minimumx[0,60]
• The range of your function must be at minimumy[0,70]
• The rollercoaster must
  • The rollercoaster must not start on the ground
  • be underground for a total of 30 seconds (does not have to be consecutively)
  • Incorporate the use of at least 1 zero (x-intercept) that has an order either than 1.
  • Have at least 2 drops within the first 60 seconds
  • The rollercoaster must end on ground leve

Part b) Choose a zero that does not have order 1. Give a brief description of what the ride will look like around that zero.

Part c) write in in set and interval notation.