A bacterial culture in a petri dish grows at an exponential rate. The petri dish has an area of 256 mm2, and the bacterial culture stops growing when it covers this area. The area in mm2 that the bacteria cover each day is given by the function ƒ(x) = 2x. What is a reasonable domain for this function?

A
Begin inequality . . . 0 is less than x which is less than or equal to 256 . . . end inequality

B
Begin inequality . . . 0 is less than x which is less than or equal to 128 . . . end inequality

C
Begin inequality . . . 0 is less than x which is less than or equal to the square root of 256 . . . end inequality

D
Begin inequality . . . 0 is less than x which is less than or equal to 8 . . . end inequality

Question

A bacterial culture in a petri dish grows at an exponential rate. The petri dish has an area of 256 mm2, and the bacterial culture stops growing when it covers this area. The area in mm2 that the bacteria cover each day is given by the function ƒ(x) = 2x. What is a reasonable domain for this function?

A   	
Begin inequality . . . 0 is less than x which is less than or equal to 256 . . . end inequality
	
B   	
Begin inequality . . . 0 is less than x which is less than or equal to 128 . . . end inequality
	
C   	
Begin inequality . . . 0 is less than x which is less than or equal to the square root of 256 . . . end inequality
	
D   	
Begin inequality . . . 0 is less than x which is less than or equal to 8 . . . end inequality