APFIVE Properties of the Intermediate Value Theorem
All of the following statements about the Intermediate Value Theorem (IVT) are true EXCEPT:
A
If a function is continuous on [a, b] and takes on different values at a and b, it attains every value between f(a) and f(b).
B
The IVT is useful for establishing the existence of solutions to equations within an interval.
C
The Intermediate Value Theorem applies to any function, regardless of continuity, on the interval [a, b].
D
The IVT guarantees the existence of a c in [a, b] such that f© = N for any number N between f(a) and f(b).
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