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$1.00 more with intermediate value thm stuff...
- From Mathematics: Real-and-Complex-Analysis
- Closed, but you can still post tutorials
- Due on Mar. 04, 2009
- Asked on Jan 31, 2009 at 8:29:32PM
Q:1. Let a < b. Prove that for any continuous function f : [a, b] -> [a, b]there exists c in [a, b] such that f(c) = c.
The following is a more general version of the previous theorem.
2. Let a < b. Prove that if f : [a, b] -> R and g : [a, b] -> R are continuous, f(a) <= g(a), and f(b) >= g(b) then there exists c in [a, b] such that f(c) = g(c).
