The given function is:
f(x) = (x^3)/3 - x + 3
To determine the interval, we need to find where the function is defined and where it takes on values. Since the given function is a polynomial, it is defined for all real numbers. Therefore, the domain of the function is (-∞, +∞).
To determine the interval of the range, we can analyze the behavior of the function. The function is a cubic function, so it will have both positive and negative values. However, without specific constraints or additional information, it is difficult to determine the exact range of the function.
Therefore, the range of the function f(x) = (x^3)/3 - x + 3 is (-∞, +∞) for the domain (-∞, +∞).