# Algebra Examples

,
Substitute using the average rate of change formula.
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 expression.
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 .