If is a continuous function, and is compact, which of the following is true?

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If<br><img src='https://www.fatskills.com/images2/GradExams/DC2CB94B-CD30-48F4-AE4C-2E3DD193794D.png' height='18' width='92'/> is a continuous function, and<br><img src='https://www.fatskills.com/images2/GradExams/A66A6365-D4E7-471F-A52F-8BCB6FB606F1.png' height='15' width='59'/> is compact, which of the following is true?