5.4 absolute maxima and minima

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

abs. max

abs. min

Absolute Extrema on Infinite Intervals

LIMITS

CONCLUSION abs minno max

abs maxno min

no maxno min

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

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:

5.4 absolute maxima and minima

Technology

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5.4 absolute maxima and minima

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