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Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a continuous and one-one function. Then which of the following is true?

1. $f$ is onto

2. $f$ is either strictly decreasing or strictly increasing

3. there exists $x \in \mathbb{R}$ such that $f(x)=1$

4. $f$ is unbounded
in Real Analysis by Expert (2.4k points) | 7 views

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