Question:
Suppose that f:[a,b]→ℝ and g:[a,b]→ℝ are continuous functions such that f(a)≤g(a) and f(b)≥g(b). Prove that f(c)=g(c) for some c∈[a,b].
Intermediate value theorem? Pinching Theorem? I'm not sure on this one.
Question:
Suppose that f:[a,b]→ℝ and g:[a,b]→ℝ are continuous functions such that f(a)≤g(a) and f(b)≥g(b). Prove that f(c)=g(c) for some c∈[a,b].
Intermediate value theorem? Pinching Theorem? I'm not sure on this one.