Question: 4. Let a R be a continuous function. Prove that the image f([a, b]) = {re R | r = f(x)for some x E [a,

![image f([a, b]) = {re R | r = f(x)for some x](https://s3.amazonaws.com/si.experts.images/answers/2024/06/66646763e6b2a_09966646763d571f.jpg)
4. Let a R be a continuous function. Prove that the image f([a, b]) = {re R | r = f(x)for some x E [a, b]} is also a closed interval
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