# Algebra Examples

Find the Average Rate of Change
,
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.
Remove parentheses around .
Raise to the power of to get .
Multiply by to get .
Multiply by to get .
Simplify each term.
Multiply by to get .
Subtract from to get .
Simplify the denominator.
Remove parentheses.
Multiply by to get .
Subtract from to get .
Divide by to get .

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