Question

On a highway, you take 3 seconds to increase your speed from 32 to 35 miles per hour. Your speed increases the same amount each second. The speed limit is 65 miles per hour. What is the domain of the function?

Answer 1

The domain of the function representing the car's speed increasing from 32 to 35 mph at a constant rate is [0, 3] seconds.

Step-by-step explanation:

The question is asking about the domain of a function that describes increasing speed over time. The domain of a function is the set of all possible input values. In this case, we are discussing the time it takes for a car to increase its speed from 32 to 35 miles per hour, with a constant acceleration over 3 seconds. Because the speed increases at the same rate each second and considering the context of the problem where time cannot be negative, the domain of this function would be the time interval from 0 to 3 seconds.

The domain of the function is [0, 3] seconds because it represents the duration over which the car's speed is increasing.