Let f:[0,1]tomathbb R be a continuous function such that f(0)=-1, f(frac12)=1, f(1)=-1. Then

Q33Section B (Section B)33 of 60

Zeros of a continuous function from three values

Let $f:[0,1]\to\mathbb R$ be a continuous function such that $f(0)=-1$ , $f\left(\frac12\right)=1$ , $f(1)=-1$ . Then

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