# Algebra Examples

Find the Average Rate of Change
, ,
Step 1
Write as a function.
Step 2
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.
Step 3
Simplify the expression.
Simplify the numerator.
Subtract from .
Multiply by .
Subtract from .
Simplify the denominator.
Multiply by .
Divide by .