Question

An object is dropped from a height of 6,400 feet. Its height, h, in feet after, t, time in seconds is h(t) = 6,400 - 16t. What is a reasonable domain and range for the situation?

A. Domain: [0, 400], Range: [0, 6,400]
B. Domain: [0, [infinity]], Range: [0, [infinity]]
C. Domain: [0, 6,400], Range: [0, 400]
D. Domain: [0, [infinity]], Range: [0, 6,400]

Answer 1

The reasonable domain is [0, [infinity]] and the range is [0, 6,400].

Step-by-step explanation:

The height, h, of an object dropped from a height of 6,400 feet after time, t, in seconds is given by the equation h(t) = 6,400 - 16t. When considering the situation, a reasonable domain is [0, [infinity]] because time can start from 0 seconds and continue indefinitely. The range of the situation is [0, 6,400] because the height of the object can vary between 0 and the initial height of 6,400 feet.