How do you find absolute extrema (maximums and minimums) using the closed interval method?

Question

How do you find absolute extrema (maximums and minimums) using the closed interval method?

Answer 1

1. Evaluate the function at the interval endpoints.
2. Take the derivative and find the critical points. Then plug the critical points into the function to find the associated critical values.
3. Compare the values from 1 and 2 to see which is biggest and smallest