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Roller Coaster Polynomial Project
880
Increasing/decreasing intervals
)
Increasing: (2,3.3) & (4,
standard form of coaster
Since the y-axis is based on height, this makes sense for our graph because the "roller coaster" starts at 250 feet and goes under the ground for another -100 feet.
Decreasing: (- ,2) & (3.3, 4)
Final answer
Roller Coaster
Polynomial Project
final graph
Zeros:
(1,0) and (2,0) and (4,0)
Turning points:
(1.6,-4.8) and (3.4,0.3) and (4,0)
Rough Sketch, Zeros, and Factored form of Roller
Coaster
250 ft. high
Zeros:
x=1
x=3
x=4(multiplicity of 2)
x=3+/-i
Factored Form:
4 minutes long
(x-1)(x-3)(x-4)^2(x-3-i)(x-3+i)
Period:3
Maritza De Los Santos
paul herrera
lily hernandez
natalie alatorre
Synthetic Division
The zeros mean that 1,3, and 4 are all factors of the equation.
End behavior
This makes sense for our graph because it has a parabola shape and it has 2 local minimums and 1 maximum. This is also realistic for our roller coaster because it goes down once from 250 feet to go down to get some speed and then up once to slow down and stop
As x
, y
domain and range
The x-axis is about time, this makes sense for our graph because it starts at 0 minutes and ends in 4 minutes.
0
x
domain: 4
Range:
250
x
-100
-
as x
, Y