Polynomial Rollercoaster Assignment

Part 1:The rollercoaster design.The design must meet the following criteria: [5T]

1. There must be three different sections to your ride:
   1. section 1: a polynomial function of an odd degree (not linear)
   2. section 2: a polynomial function of even degree (not quadratic)
   3. section 3: a polynomial function of your choice (not linear and not quadratic) Cubic
2. All three functions must:
   1. be significantly different from one another (should not have the same degree, or x-intercepts)
   2. be in factored form with at least three factors
   3. at least two of the functions must meet at one point
   4. include a moving object in each of the three sections

Part 2:Answer the questions related to the functions used in your design and the context of this question.

The questions are found in screen 5. [5C]

Important Notes:

3. Restrictions:

To show part of the graph of a function you must restrict itsdomainandnotitsrange.

For example:

y=4x3+5

0x1

shows the part of the graph with x coordinates between and including 0 and 1

4. Animation:

You must include a moving object in your design.

Watch this video to learn how to include a moving object:https://youtu.be/DtsJifI3xzs

Part 2: Questions about the Rollercoaster

Fully answerthe questions belowandsubmit a pdf copy of your work in the Brightspace> Assignment dropbox"Unit 1 Mini Project"

A) State the degree, leading coefficient, number of turning points, domain and range for ONE of the polynomials you used in your design.

What does the x-variable represent in your equations?

What does the y-variable represent in your equations?

B) State theroots for THE SAME polynomial you selected above. Interpret the meaning in the context of a rollercoaster ride -- what do these represent?

C) State thelocal maximumand minimum points for one of the polynomials you used in your design. Interpret their meaning in the context of a rollercoaster ride.

D) A person on this ride is at half the maximum height away from the ground.Graphically determine the point(s) that represents the possible locations of this rider. (For example: if the maximum height is 100, what point would represent the location of the rider when the height is 50?) Include a sketch of your work.