Think Bolzano

Calculus Level 1

Fill in the blank.

Let f(x)f(x) be a continuous real-valued function with f(1)=1f(1) = -1 and f(4)=3.f(4) = 3. If 1<c<4,1 < c < 4, then each of the following except for ______\text{\_\_\_\_\_\_} is guaranteed to be a value of f(c).f(c).

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