Suppose a function is uniformly continuous. Then, which of the following is true?

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Suppose a function<br><img src='https://www.fatskills.com/images2/GradExams/DC2CB94B-CD30-48F4-AE4C-2E3DD193794D.png' height='18' width='92'/> is uniformly continuous. Then, which of the following is true?