1.16 Working with the Intermediate Value Theorem (IVT)
- Syllabus
- 2020
- Topic
- 1.16
- Level
- —
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.
Objective notes
1 learning objectiveConceptAP Calculus AB