Question

The function h(t) = -4877 + 18.758t 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. What are the domain and range of the function?

A) Domain: [0, 3.85], Range: [10, 18.05].
B) Domain: [0.3, 85], Range: [10.18, 05].
C) Domain: [0.3, 85], Range: [10.18, 05].
D) Domain: [0.3, 85], Range: [-0.385].

Answer 1

The domain is all real numbers and the range is all real numbers greater than or equal to -4877.

Step-by-step explanation:

The domain of a function represents the set of all possible input values (t in this case) for the function. In this function, there are no restrictions on the input values of t, so the domain is all real numbers.

The range of a function represents the set of all possible output values (h(t) in this case) for the function. Looking at the function, we can see that the minimum value of h(t) is -4877, which is reached when t is at its maximum value. The slope of the function is positive, indicating that the function is increasing, and there are no restrictions on the output values of h(t), so the range is all real numbers greater than or equal to -4877.

Therefore, the domain is (-∞, ∞) and the range is [-4877, ∞).