The population of a certain bacteria colony can be modeled by the function f ( x ) = 2 x , where x is the number of hours after the colony started. What will the population of the bacteria colony be after 12 hours?

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.