FUN-1.B—Justify conclusions about functions by applying the Mean Value Theorem over an interval
Syllabus
2020
Objective
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Level
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FUN-1.B—Justify conclusions about functions by applying the Mean Value Theorem over an interval
FUN-1.B Justify conclusions about functions by applying the Mean Value Theorem over an interval.
FUN-1.B.1 If a function f is continuous over the interval [a, b] and differentiable over the interval (a, b), then the Mean Value Theorem guarantees a point within that open interval where the instantaneous rate of change equals the average rate of change over the interval.
Enduring understanding FUN-1: Existence theorems allow us to draw conclusions about a function’s behavior on an interval without precisely locating that behavior.