SOLUTION: The function f(t) = - 4.92t ^ 2 + 17.69t + 575 is used to model the height of an object being tossed from a tall building where h () is the height in meters and tis the time in sec
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-> SOLUTION: The function f(t) = - 4.92t ^ 2 + 17.69t + 575 is used to model the height of an object being tossed from a tall building where h () is the height in meters and tis the time in sec
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Question 1179364: The function f(t) = - 4.92t ^ 2 + 17.69t + 575 is used to model the height of an object being tossed from a tall building where h () is the height in meters and tis the time in seconds . What are the domain and range ? Round to the nearest hundredth Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! the maximum height is at the vertex where t=-b/2a or -17.69/-9.84 or 1.798 sec.
f(1.798)=590.90 ft.
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it reaches 0 feet when -4.92t^2+17.69t+575=0=4.92t^2-17.69t-575
t=(1/9.84)(+17.69+/- sqrt(17.69^2+4(575)(4.92)); sqrt term=107.84
positive root is 12.76 sec rounding at end.
Domain is [0, 12.76] sec
range is [0, 590.90] m
