(adsbygoogle = window.adsbygoogle || []).push({}); 1.Is it true that if f is continuous onto function on a closed interval then f(x) must also be a closed interval. How about the other way around. f is continuous and onto on a open bounded interval and f(x) is a closed interval

2. Relevant equations

f:[0,1]-->(0,1)

f:(0,1)-->[0,1]

3. The attempt at a solution

There is a theorem that says that if f is continuous on a closed and bounded interval then set of f(x) is a closed and bounded interval.

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# Homework Help: Continuous onto function

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