Final answer:
The function does not have any absolute extreme values on the interval [a, b] because it is a horizontal line.
Step-by-step explanation:
In calculus, the absolute extreme values of a function refer to the maximum and minimum values of the function over its entire domain. These values can occur either at critical points or at endpoints of the domain.
The function f(x) = is a horizontal line. Since the graph is a horizontal line over the interval [a, b], it does not have any absolute extreme values. This means that there are no maximum or minimum points on the graph. The function has a constant value across the entire interval [a, b].