The function h (t) = -4.87t^2+18.75t is used to model the height of an object projected in the air, 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 of the function h (t) ?

Question

Mathematics

Reece Bridges

29 October, 20:39

The function h (t) = -4.87t^2+18.75t is used to model the height of an object projected in the air, 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 of the function h (t) ?

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Answers (1)

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Akira Watts · Answer 1

Domain: t≥0

Range:h (t) ≤ 0.85

Step-by-step explanation:

The domain of a function is all the valid values you can enter into the function. Because time can't be negative the domain is t>0. The range or h (t) is the result, because the object can't go through the ground, it can't be less than zero. 0≤h (t)

0≤-4.87t^2+18.75t

0≤-4.87t+18.75

-18.75≤-4.87t

which is approx.: 0.85≥t or t≤0.85