Final answer:
The average rate of change of the constant function f(x) = 73 - 92 over the interval (1, 6) is 0, because the value of the function does not change with x.
Step-by-step explanation:
The question is asking for the average rate of change of a function f(x) over a specified interval. Given f(x) = 73 - 92, which is a constant function (as it does not contain an x), the average rate of change is simply the change in the function values divided by the change in x over the interval (1, 6). Since the function is constant, its value does not change, implying an average rate of change of 0.
To calculate this formally: the average rate of change is f(6) - f(1) divided by 6 - 1, which equals (73 - 92) - (73 - 92) over 5, simplifying to 0/5, which is 0.