FUN-1.C—Justify conclusions about functions by applying the Extreme Value Theorem
- Syllabus
- 2020
- Objective
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- Level
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FUN-1.C—Justify conclusions about functions by applying the Extreme Value Theorem
- FUN-1.C Justify conclusions about functions by applying the Extreme Value Theorem.
- FUN-1.C.1 If a function f is continuous over the interval [a, b], then the Extreme Value Theorem guarantees that f has at least one minimum value and at least one maximum value on [a, b].
- FUN-1.C.2 A point on a function where the first derivative equals zero or fails to exist is a critical point of the function.
- FUN-1.C.3 All local (relative) extrema occur at critical points of a function, though not all critical points are local extrema.
- Enduring understanding FUN-1: Existence theorems allow us to draw conclusions about a function’s behavior on an interval without precisely locating that behavior.
ConceptAP Calculus AB