### Home > APCALC > Chapter 5 > Lesson 5.5.1 > Problem 5-154

Without using a graphing calculator, determine the maximum and minimum values of the function over the interval

Candidates for global maxima and global minima exist where the derivative equals

Evaluate the endpoints:

These might be the global min and max, respectively. We still need to check the other candidates.

Find additional candidates by setting the derivative equal to zero, and solving for and

*are candidates...*

but eliminate

*because it is not within the given domain.*

Evaluate the remaining candidates: and compare to the endpoint candidates.

Recall that maxima and minima are -values.

Therefore the global maximum is

Confirm this by sketching

*on your graphing calculator.*