Question

Michelle kicks a soccer ball up into the air from the ground. The graph represents the height of the ball, in feet, as a function of time, in seconds. What is the domain of the function represented by the graph?

A. 0 ≤ x ≤ [fill in]

B. x ≥ 0

C. x ≤ 0

D. x is not defined

Answer 1

The domain of the function represented by the graph is 0 ≤ x ≤ infinity (or x ≥ 0).

Step-by-step explanation:

The domain of a function represents the set of all possible input values, or x-values, for which the function is defined. In this case, the graph represents the height of the soccer ball as a function of time. Since the ball is kicked up into the air from the ground, the time starts at 0 seconds and continues indefinitely until the ball reaches its highest point and starts to descend. Therefore, the domain of the function represented by the graph is 0 ≤ x ≤ infinity (or x ≥ 0).