FUN-1.A—Explain the behavior of a function on an interval using the Intermediate Value Theorem
Syllabus
2020
Objective
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Level
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FUN-1.A—Explain the behavior of a function on an interval using the Intermediate Value Theorem
FUN-1.A Explain the behavior of a function on an interval using the Intermediate Value Theorem.
FUN-1.A.1 If f is a continuous function on the closed interval [a, b] and d is a number between f(a) and f(b), then the Intermediate Value Theorem guarantees that there is at least one number c between a and b, such that f(c) = d.
Enduring understanding FUN-1: Existence theorems allow us to draw conclusions about a function’s behavior on an interval without precisely locating that behavior.