continuous function
let f: R->R be a continuous function such that f(0)=f(2)=1. then there exists c>0 such that f(c)=c
prove this.
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.

4.8K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 976 views
- $4.00
Related Questions
- Find the domain of the function $f(x)=\frac{\ln (1-\sqrt{x})}{x^2-1}$
- Existence of a Divergent Subsequence to Infinity in Unbounded Sequences
- Real Analysis
- A generator at a regional Power Station produces an alternating voltage, according to the function, 𝑉 below:
- Calculating P values from data.
- Functions undergrad
- Convergence and Integrability of Function Series in Measure Spaces and Applications to Series Expansion Integrals
- Prove that $A - B=A\cap B^c$