Final answer:
The domain of the function f(x) = 13x^7 is all real numbers, and the range is all positive real numbers.
Step-by-step explanation:
The domain of the function is the set of all possible input values, or x-values, for which the function is defined. In this case, the function f(x) = 13x^7 does not have any restrictions on the values of x, so the domain is all real numbers.
The range of the function is the set of all possible output values, or y-values, that the function can produce. Since the function f(x) = 13x^7 has an exponent of 7, it will always produce positive values, regardless of the value of x. Therefore, the range of the function is all positive real numbers.