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Roller Coaster Polynomial Project

By Jack Panicoe

Expedition Everest

The name of my roller coaster is Expedition Everest because that is my favorite ride at Disney.

Max/Min/Intervals of Increase and Decrease

Max: (2.421 , 165.505)

Min: (4.419 , -1582.647)

IOI: (1 , 2.421)(4.419 , 5.18)

IOD: (0 , 1)(2.421 , 4.419)

Window Settings:

Desmos Graph / Domain and Range

Domain: 0<X<5.18

The X axis represents time which means the ride starts at 0 minutes and ends at around 5 minutes.

Range: -1582.647<Y<165.505

The Y axis is represented as height so the highest point was about 166 feet and the lowest was around -1583 feet.

Equation / Division Check

Factored Form: 8(x-1)^2

Standard Form: 8x^6-80x^5+264x^4-384x^3+376x^2-304x=120

All zeros divided were correct and had no remainder.

Work for standard form conversion.

Sketch

X Axis = Minutes

Y Axis = Feet

Zeros: X=1

X=3

X=5

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