A national trivia tournament starts with 262,144 teams. With each round, there are half as many teams as before. The number of teams after any number of rounds, x, can be modeled with the following function.

f(x) = 262,144

Which statement compares the mathematical range and reasonable range of the function?

Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.
Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.
The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.
The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.