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Roller Coaster Polynomial Project
122
Standard Form of coaster
Zeros:
X= 1
X=1
X=2
X=4
Imaginary:
X= 1+/- i
Factored form:
(x-1)(x-1)(x-2)(x-4)(x-1+/-i)
Synthetic Division Check
Sketch of Graph
Final Graph
Only one of the remainders was zero which means that 1, is a real root for our equation
Zeros:
(1,0) & (1,0)& (2,0)& (4,0)
(1,0)
(2,0)
(4,0)
Y-intercept: (0,250)
Turning Points:
(3, 31.25 )
(1.5, 25)
End behavior
Domain and Range
As X -> ,Y ->
As X -> - , Y->
Domain: 4 > x > 0
Range: 250 > y > -50
Increasing/ Decreasing Intervals
Increasing:
1 > x > 1.5 and
3 > x > 4
Synthetic division check
Increasing/ Decreasing intervals
Decreasing:
1.5 > x > 3 and
0 > x > 1
Roller Coaster Polynomial Project
Wendy T., Julia I., Jasmine M., Jose M. & Andrea M.
Per.3