To find a function that is positive for the entire interval (3, 2), we need to ensure that the function does not take any negative values for any point within that interval.
One such function is the exponential function, f(x) = e^(x). This function is positive for all real numbers, and thus it will certainly be positive within the interval (3, 2).
Another simple example of a function that is positive for the entire interval (3, 2) is a constant function like f(x) = 1. This function will also yield positive values regardless of the input, including any input within our specified interval.
Therefore, both f(x) = e^(x) and f(x) = 1 are valid functions that are positive throughout the interval (3, 2).