Embed Size (px)
Citation preview
Absolute Maxima and Minima
Absolute Extrema on Closet Intervals [ a, b ]
Find the absolute extrema of on the interval [ -1, 1 ], and determine wherethese values occur.
Points to consider:
critical points
endpoints of the interval
1/8
0-1
1
abs. max
abs. min
Absolute Extrema on Infinite Intervals
LIMITS
CONCLUSION abs minno max
abs maxno min
no maxno min
no maxno min
GRAPH
Determine by inspection whether has any absolute extrema.
If so, find them and state where they occur.
min exists
abs min
Absolute Extrema on Open Intervals
LIMITS
CONCLUSION abs minno max
abs maxno min
no maxno min
no maxno min
GRAPH
Determine by inspection whether
has any absolute extrema
On the interval ( 0, 1 ). If so, find them andstate where they occur.
max exists
How about some practice?
Find the absolute extrema for the following:
