The function h (t) = - 4.92t^2+14.69t+575 is used to model an object being tossed from a tall building, where h (t) is the height in meters and t is the time in seconds. Rounded to the nearest hundredth, what are the domain and range?

Question

Mathematics

Jasmin Kaiser

4 June, 20:30

The function h (t) = - 4.92t^2+14.69t+575 is used to model an object being tossed from a tall building, where h (t) is the height in meters and t is the time in seconds. Rounded to the nearest hundredth, what are the domain and range?

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Answers (1)

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Trenton Buchanan · Answer 1

Given that equation modelling the height of the building is given by:

h (t) = - 4.92t^2+14.69t+575

plotting the equation (see the plot below)

The domain in all real numbers.

Range: (h∈R: 196800h≤115317961)