Question

e following for the function given below.
time, number of bacteria), where time is measured in hours of a day
describe an appropriate domain and range for the function.
make a rough sketch of a graph of the function.
briefly discuss the validity of the graph as a model of the true function.

. i ne domain is nours in a day; u nours to 24 nours.
ose the appropriate range for the function below.
a. the range is hours in a day; 0 minutes to 24 minutes.
b. the range is bacteria after th given number of hours; 1 bacterium to 18 million bacteria.
c. the range is bacteria after the given number of hours; 1 bacterium to 100 bacteria.
d. the range is hours in a day; 0 hours to 24 hours.

Explanation:

The function relates time (in hours of a day) to the number of bacteria. The range should represent the number of bacteria after a given number of hours. Option A and D are about time (hours/minutes), not bacteria, so they're incorrect. Option C's upper limit (100 bacteria) is too low for a day - long bacterial growth (bacteria can grow exponentially to millions). Option B has a more realistic range for bacterial growth over a day.

Answer:

B. The range is bacteria after the given number of hours; 1 bacterium to 18 million bacteria.