Question

Officials in a town use a function, c, to analyze traffic patterns. C(n) represents the rate of traffic through an intersection where n is the number of observed vehicles in a specified time interval. What would be the most appropriate domain for the function?.

Answer 1

The domain of a function is the set of input values the function can take

The appropriate domain of the function is the set of whole numbers

From the question, the number of observed vehicles is represented by n.

The number of observed vehicles cannot be negative.

So, the minimum value of n is 0:

$n = 0$

There is no limit to the number of vehicles they can observe.

Hence, the appropriate domain of the function is the set of whole numbers

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