subject
Mathematics, 15.04.2020 09:19 idcbrooo

Roller Coaster Crew
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.

Part A

The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.

Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only. Is there a way for the both of them to be correct? Explain your answer.

Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x βˆ’ 1)(x βˆ’ 2)
g(x) = (x + 3)(x + 2)(x βˆ’ 3)
g(x) = (x + 2)(x βˆ’ 2)(x βˆ’ 3)
g(x) = (x + 5)(x + 2)(x βˆ’ 5)
g(x) = (x + 7)(x + 1)(x βˆ’ 1)

Create a graph of the polynomial function you selected from Question 2.

Part B

The second part of the new coaster is a parabola.

Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x βˆ’ a)(x βˆ’ b). Describe the direction of the parabola and determine the y-intercept and zeros.

Create a graph of the polynomial function you created in Question 4.

Part C

Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.

Part D

Create an ad campaign to promote Ray and Kelsey's roller coaster. It can be a 15-second advertisement for television or radio, an interview for a magazine or news report, or a song, poem, or slideshow presentation for a company. These are just examples; you are not limited to how you prepare your advertisement, so be creative. Make sure to include a script of what each of you will say if you are preparing an interview or a report. The purpose of this ad is to get everyone excited about the roller coaster.

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 18:30
Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =
Answers: 1
question
Mathematics, 21.06.2019 19:30
Julian wrote the following numeric pattern on the board3,10,17,24,31,38.what numbers of julian's pattern are compound numbers.
Answers: 2
question
Mathematics, 21.06.2019 20:00
Will possibly give brainliest and a high rating. choose the linear inequality that describes the graph. the gray area represents the shaded region. 4x + y > 4 4x – y β‰₯ 4 4x + y < 4 4x + y β‰₯ 4
Answers: 1
question
Mathematics, 21.06.2019 21:00
Atriangular field has sides of lengths 21, 39, and 41 yd. find the largest angle. (round your answer to the nearest degree.)
Answers: 1
You know the right answer?
Roller Coaster Crew
Ray and Kelsey have summer internships at an engineering firm. As part of...
Questions
question
Biology, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Biology, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Geography, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
English, 13.09.2020 08:01
question
English, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
question
Mathematics, 13.09.2020 08:01
Questions on the website: 13722367