# Algebra Examples

,

The average rate of change of a function can be found by calculating the change in values of the two points divided by the change in values of the two points.

Substitute the equation for and , replacing in the function with the corresponding value.

Simplify the numerator.

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Any root of is .

Multiply by .

Subtract from .

Simplify the denominator.

Multiply by .

Subtract from .