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Extreme Value Theorem
If the function
is continuous over the closed interval
, then there is at least one maximum value (green) and one minimum value (red) of
in that interval.
Contributed by:
Jacqueline Wandzura
Additional contributions by:
Stephen Wandzura
SNAPSHOTS
DETAILS
Snapshot 3: If a function is monotone increasing or decreasing in a given interval, then the endpoints must be the extrema.
RELATED LINKS
Extreme Value Theorem
(
Wolfram
MathWorld
)
Maximum
(
Wolfram
MathWorld
)
Minimum
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Extreme Value Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ExtremeValueTheorem/
Contributed by:
Jacqueline Wandzura
Additional contributions by:
Stephen Wandzura
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Related Topics
Calculus
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSF-IF.A.1
HSF-IF.B.5
HSF-IF.C.7
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