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Theorem: Intermediate Root Value Theorem
Let \([a,b]\) be a closed real interval and let \(f:[a,b]\to\mathbb R\) be a continuous real function with $f(a) < 0$ and $f(b) > 0$ (or $f(a) > 0$ and $f(b) < 0$). Then there is a root value $x\in[a,b]$ with \(f(x)=0\).
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Proofs: 1
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Proofs: 1
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References
Bibliography
- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983
