SOLUTION: The polynomial function f(x)=(0.001x^3)-(0.12x^2)+3.6x+10, 0≤x≤75, models the shape of a roller coaster track, where f is the vertical displacement of the track and x i

Algebra ->  Vectors -> SOLUTION: The polynomial function f(x)=(0.001x^3)-(0.12x^2)+3.6x+10, 0≤x≤75, models the shape of a roller coaster track, where f is the vertical displacement of the track and x i      Log On


   

Question 199655: The polynomial function f(x)=(0.001x^3)-(0.12x^2)+3.6x+10, 0≤x≤75, models the shape of a roller coaster track, where f is the vertical displacement of the track and x is the horizontal displacement of the track. Both displacements are in meters. Determine the absolute maximum and minimum heights along this stretch of track.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The polynomial function f(x)=(0.001x^3)-(0.12x^2)+3.6x+10, 0≤x≤75, models the
shape of a roller coaster track, where f is the vertical displacement of the
track and x is the horizontal displacement of the track. Both displacements
are in meters. Determine the absolute maximum and minimum heights along this stretch of track.
:
Graph this equation x = 0 to x = 75
:
+graph%28+300%2C+200%2C+-20%2C+80%2C+-20%2C+60%2C0.001x%5E3-0.12x%5E2%2B3.6x%2B10+%29+
max x = 20, min x=60