Precalculus Examples
,
Step 1
Write as an equation.
Step 2
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
Multiply the numerator and denominator of the complex fraction by .
Multiply by .
Combine.
Apply the distributive property.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
Raise to the power of .
Multiply by .
Raise to the power of .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Add and .
Cancel the common factor of .
Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Add and .
Subtract from .
Simplify the denominator.
Multiply by .
Multiply .
Multiply by .
Multiply by .
Add and .
Divide by .