Final answer:
The domain of Hal's yard's weed population that doubles daily for a week is {0, 1, 2, 3, 4, 5, 6} days and the corresponding range for the number of weeds is {14, 28, 56, 112, 224, 448, 896}.
Step-by-step explanation:
The question revolves around the exponential growth of weed population in Hal's yard. If the initial population of weeds is 14 and it doubles every day for one week, the domain of the situation would be the days of the week, typically expressed as {0, 1, 2, 3, 4, 5, 6}, where 0 represents the start of the observation period. The range, indicating the number of weeds, would be {14, 28, 56, 112, 224, 448, 896}, corresponding to the weed population on each day of the week, respectively.
In this exponential growth model, the population P on day t can be represented as P(t) = 14 × 2t, where t is the number of days since the start of the observation period. Thus, the domain includes the integers from 0 to 6, and the range includes the weed population values after each day's growth.