Domain and functions

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?                                (1)  {...,-2,-1,0,1,2,3,...                    (2). {0,1/2,1,1 1/2,2,2 1/2}.         (3)  {-2,-1,0,1,2,3}.                       (4)  {0,1,2,3.....}

Answer 1

The domain of C(n) is the set of all possible values of n.  Since n represents the number of cars passing through an intersection, n must be a nonnegative integer.  So, domain of C(n) = {0, 1, 2, ...}.  ANS (4)