Find an Equation for the Rational Function Graph $\mathrm { F } ( \mathrm { x } ) = \frac { 4 ( x - 8 ) ^ { 2 } - 16 } { 16 ( x - 8 ) ^ { 2 } - 8 ( x - 8 ) + 9 }$

question 62

Multiple Choice

Find an equation for the rational function graph.
-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: $\mathrm { F } ( \mathrm { x } ) = \frac { 4 ( x - 8 ) ^ { 2 } - 16 } { 16 ( x - 8 ) ^ { 2 } - 8 ( x - 8 ) + 9 }$ . Assuming that the turbulence first hits at time $x = 0$ , what is the maximum relative drop the plane will experience due to turbulence? (Round the result to the nearest hundredth.)

• A) \(1.97 \mathrm { ft }\)
• B) \(26.03 \mathrm { ft }\)
• C) \(0.25 \mathrm { ft }\)
• D) \(8.22 \mathrm { ft }\)

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