Extreme Value Theorem
Definition
The Extreme Value Theorem states that if a function is continuous on a closed interval, then it must have both a maximum value and a minimum value on that interval.
Related terms
Critical Points: These are points on a function where the derivative is either zero or undefined.
Absolute Extrema: These are the highest and lowest values of a function over its entire domain.
Closed Interval Method: This method involves evaluating the function at its critical points and endpoints to find local extrema.
"Extreme Value Theorem" appears in:
Additional resources (2)
AP Calculus AB/BC - 2024 AP Calculus AB Exam Guide
AP Calculus AB/BC - 2024 AP Calculus BC Exam Guide
Practice Questions (2)
What does the Extreme Value Theorem state?
Does the Extreme Value Theorem apply to functions defined on an unbounded domain?
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Cram Mode
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© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.