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(All Steps) Suppose that f:[a, b] \rightarrow R and g:[a, b] \rightarrow R are continuous functions such that f(a) ≤q g(a) and f(b) ≥q g(b). Prove

Question: Suppose that $f:[a, b] \rightarrow \mathbb{R}$ and $g:[a, b] \rightarrow \mathbb{R}$ are continuous functions such that $f(a) \leq g(a)$ and $f(b) \geq g(b)$. Prove that $f(c)=g(c)$ for some $c \in[a, b]$

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(All Steps) Suppose that f:[a, b] \rightarrow R and g:[a, b] \rightarrow R are continuous functions such that f(a) ≤q g(a) and f(b) ≥q g(b). Prove

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