### Home > APCALC > Chapter 4 > Lesson 4.5.1 > Problem 4-172

4-172.

Sketch .

Use the Intermediate Value Theorem to show there is a root between

and . State the conditions of the Intermediate Value Theorem: 'Since

is continuous on the closed domainProve the thesis of the IVT: ... and

and, there must be a value, on, such that .Let

. Use Newton’s Method to calculate.Check your work:

How close is

to the actual root of? Calculate the error.and the actual root should be very close.