Final answer:
The domain of the function f(x) = 0.56(5)^(-8x) is all real numbers, and the range is all positive real numbers.
Step-by-step explanation:
The question appears to be about identifying the domain and range of a given function, which seems to be an exponential function based on the notation provided. However, there seem to be some typos in the expression for the function. Assuming the function is f(x) = 0.56(5)^(-8x), we can determine the domain and range as follows:
The domain of an exponential function is all real numbers since there are no restrictions on the input for exponential functions. Therefore, the domain for this function is (-∞, ∞).
The range of an exponential function is all positive real numbers, as an exponential function never takes on a value of zero nor does it become negative. Therefore, the range for this function is (0, ∞).