Final answer:
The absolute maximum value for x^2 - 4 on the interval (-3, 2) is 0.
Step-by-step explanation:
To find the absolute maximum value for the function x^2 - 4 on the interval (-3, 2), we need to find the critical points in the interval and evaluate the function at those points.
The critical points occur when the derivative of the function is equal to zero or undefined. Taking the derivative of x^2 - 4, we get 2x. Setting this equal to zero, we find that the critical point is x = 0.
Evaluating the function at the critical point and the endpoints of the interval, we find that the maximum value occurs at x = 2. Plugging this value into the function, we get (2)^2 - 4 = 0. Therefore, the absolute maximum value is 0.