Question

Find the absolute maximum and minimum values of fon the set D. = (x, y) absolute maximum value absolute minimum value

Answer 1

To find the absolute maximum and minimum values of a function f(x) on a given set D, we evaluate the function at its critical points and endpoints. The absolute maximum value is the highest value obtained, and the absolute minimum value is the lowest value obtained.

Step-by-step explanation:

To find the absolute maximum and minimum values of a function f(x) on a set D, we need to evaluate the function at its critical points and endpoints. In this case, the set D is defined as y. Since we only have information about the x-values, we will focus on finding the maximum and minimum values of f(x) for the given x-interval.

1. First, we evaluate f(x) at the critical points. Since there are no critical points in the given x-interval, we move to the next step.
2. Next, we evaluate f(x) at the endpoints. The endpoints of the x-interval are x = -1 and x = 1.
3. Plugging these values into the function, we get f(-1) = 10 and f(1) = 20.

Therefore, the absolute maximum value of f(x) on the set D is 20, and the absolute minimum value is 10.