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A Plane Suddenly Experiences Turbulence While in Flight F(x)=4(x8)2616(x8)28(x8)+12F ( x ) = \frac { 4 ( x - 8 ) ^ { 2 } - 6 } { 16 ( x - 8 ) ^ { 2 } - 8 ( x - 8 ) + 12 }

question 491

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A plane suddenly experiences turbulence while in flight. At this point the change in its altitude, in feet, is represented by the following function of time: F(x) =4(x8) 2616(x8) 28(x8) +12F ( x ) = \frac { 4 ( x - 8 ) ^ { 2 } - 6 } { 16 ( x - 8 ) ^ { 2 } - 8 ( x - 8 ) + 12 } . Assuming that the turbulence first hits at time x=0x = 0 , what is the maximum relative drop the plane will experience due to turbulence? (Round the result to the nearest hundredth.)


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