# How to show a continuous function in the reals maps compact sets into compact sets?

How would I go about proving a continuous function maps compact sets into compact sets for the reals? I have seen this question pointing me to the Intermediate Value Theorem wiki, but I am still confused. Other answers use topology terms and inverse images, but I don't have those defined yet in my course.

• What's the concept of “compact” that you are working with? – José Carlos Santos Dec 18 '18 at 13:33