Lebl-Basic-Analysis-I · Problem 3.3.7

Continuous Functions

Mathematics · extreme-and-intermediate-value-theorems

Problem

Prove Corollary 3.3.13: Suppose f:[a,b]→Rf : [a, b] \to \mathbb{R} is a continuous function. Prove that the direct image f([a,b])f\bigl([a,b]\bigr) is a closed and bounded interval or a single number.

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