# Finite Math Examples

,

The Intermediate Value Theorem states that, if is a real-valued continuous function on the interval , and is a number between and , then there is a contained in the interval such that .

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

Set-Builder Notation:

Remove parentheses.

Simplify each term.

Raise to the power of .

Multiply by .

Subtract from .

Remove parentheses.

Simplify each term.

Raise to the power of .

Multiply by .

Add and .

is not on the interval .

There is no root on the interval.