Question

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)?

Answer 1

Answer:

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