### Home > CALC > Chapter 3 > Lesson 3.1.2 > Problem 3-27

3-27.

If *f*(15) = −3 and *f*(20) = 4, *must f*(*x*) have a root between *x* = 15 and 20? Explain why or why not. Be sure to include sketches that support your reasoning. Homework Help ✎

Notice the condition of the Intermediate Value Theorem.