### Home > CALC > Chapter 2 > Lesson 2.2.3 > Problem 2-83

2-83.

The **Intermediate Value Theorem** is sometimes used to prove that roots exist. For example, *f*(2) = −4 and *f*(3) = 1, does *f*(*x*) have a root somewhere between *x* = 2 and *x* = 3? Why or why not? Homework Help ✎

Is it possible to move from *y* = –4 to *y* = 1 without passing through *y* = 0?

Use the eTool below to view the graph of the functions.

Click on the link to the right to view the full version of the eTool: Calc 2-82 HW eTool