Question

Given g(x) = -x2 + x – 1, find the absolute maximum value over the interval [-1, 5).

Answer 1

ind all critical numbers of f within the interval [a, b]. ...
Plug in each critical number from step 1 into the function f(x).
Plug in the endpoints, a and b, into the function f(x).
The largest value is the absolute maximum, and the smallest value is the absolute minimum.