The Intermediate Value Theorem (a continuous function on an interval assumes all values between any two of its values) is one of the big theorems of calculus. Yet the theorem is absent or briefly mentioned in most calculus textbooks. The theorem deserves better as we intend to show by listing ten picturesque consequences that we think could enliven any calculus course.
Varberg, Dale, "The Intermediate Value Theorem" (1995). ACMS Conference Proceedings 1995. 13.
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