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

3-27.

If and

*,*

*must*have a root between

*and*

*? Explain why or why not. Be sure to include sketches that support your reasoning.*

**Intermediate Value Theorem**

Let be a function continuous on the closed interval

*between*

*there exists a value*

*,*

*, such that*

*.*

Notice the condition of the Intermediate Value Theorem.