Calculus I 
Quiz #11 
November 20, 2002

Name____________________________ 
R. Hammack

Score ______

(1) Find the absolute extrema of
on the interval .
First, we find the critical numbers
There is only one critical number x = 2 in the interval.
2
+
+ +     
As you can see, ther e is a relative maximum at x = 2, so this is also
an absolute maximum (because there is only one critical number in the interval).
CONCLUSION:
is the ABSOLUTE MAXIMUM, and it occurs at x = 2.
There is NO ABSOLUTE MINIMUM.