*THIS QUESTION HAS TWO PARTS* You designed two roller coasters, The first roller coaster has the given:

For the first 10 seconds of the ride, the height of the roller coaster can be determined by , where t is the time in seconds and h is the height in feet. Answer the following questions as part of your investigation.

1-Classify this polynomial by degree and by number of terms. Determine the end behavior of the polynomial in terms of f(x) and x.

2-Graph the polynomial function for the height of the roller coaster.

3-Find the height of the coaster at t = 0 seconds. Explain why this answer makes sense.

4-Find the height of the coaster 9 seconds after the ride begins. Explain how you found the answer.

5- Evaluate h(30). Does this answer make sense? Identify practical (valid real life) domain of the ride for this model. CLEARLY EXPLAIN your reasoning.

6- After how many seconds will the height of the roller coaster be 12 feet?

7- Calculate when the roller coaster will reach the ground, make use of the multiplicity rule to motivate your answer.

*CHECK OUT THE SECOND QUESTION\PART 2*