Question

A bacterial culture in a petri dish grows at an exponential rate. The petri dish has an area of 256 mm^2, and the bacterial culture stops growing when it covers this area. The area in mm^2 that the bacteria cover each day is given by the function f(x)=2^x. What is a reasonable domain for this function?

Answer 1

the Dependent variable (x) is time

The function starts at x = 0 (the minimum value of the domain)and keeps going until the plate is filled

Therefore

2^x = 256 will give you the maximum value for the domain

See what you can get from this