Final answer:
The question asks for minimum and maximum values of a constant function, which is incorrect as the function's value does not change on any interval. The constant function's value, a cubic root of 9, is y = 2.08008, which is both its minimum and maximum over any range.
Step-by-step explanation:
The question involves finding the minimum and maximum values of a given function on a specified interval. However, there seems to be a misunderstanding in the question itself, as the function provided y=(-3²)¹/³ is a constant function and does not depend on any variable (such as x).
Since it's constant, it does not have critical points in the traditional sense, and its value does not change over any interval. Regardless of the interval given, the constant value of the function is the cubic root of 9 (as -3 squared is 9), which is y = 2.08008.
Therefore, both the minimum and maximum values are y = 2.08008 at any interval. Despite the confusion, the process of finding minimum and maximum values typically involves evaluating the function at critical points and endpoints, using techniques such as differentiation and comparison of function values.