Question

do the following for the function given below. (time, number of bacteria), where time is measured in hours of a day a. describe an appropriate domain and range for the function. b. make a rough sketch of a graph of the function. c. briefly discuss the validity of the graph as a model of the true function. a. choose the appropriate domain for the function below. a. the domain is hours in a day; 0 minutes to 24 minutes. b. the domain is bacteria after the given number of hours; 1 bacterium to 100 bacteria. c. the domain is bacteria after the given number of hours; 1 bacterium to 18 million bacteria. d. the domain is hours in a day; 0 hours to 24 hours.

Explanation:

The function is defined as (time, number of bacteria) with time in hours of a day. The domain of a function is the set of input values. Here, the input is time (in hours), so we need to consider the valid range of time in a day. Option A is incorrect as it uses minutes (0 - 24 minutes) which is not a day's hours. Options B and C are about the number of bacteria, which is the output (range), not the input (domain). Option D correctly states the domain as hours in a day, from 0 hours to 24 hours.

Answer:

D. The domain is hours in a day; 0 hours to 24 hours.