# Finite Math 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.

Remove parentheses around .

Raise to the power of to get .

Multiply by to get .

Simplify each term.

Subtract from to get .

Multiply by to get .

Subtract from to get .

Subtract from to get .

Simplify the denominator.

Remove parentheses.

Multiply by to get .

Subtract from to get .

Divide by to get .