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 be viewed only if
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
The answer is accepted.
- answered
- 190 views
- $4.00
Related Questions
- Determine where the following function is discontinuous
- Assume there is no $x ∈ R$ such that $f(x) = f'(x) = 0$. Show that $$S =\{x: 0≤x≤1,f(x)=0\}$$ is finite.
- do not answer
- A lower bound on infinite sum of exponential functions (corrected version)
- Use first set of data to derive a second set
- real analysis
- Let $f\in C (\mathbb{R})$ and $f_n=\frac{1}{n}\sum\limits_{k=0}^{n-1} f(x+\frac{k}{n})$. Prove that $f_n$ converges uniformly on every finite interval.
- Growth of Functions
