Algebra Examples

Find the Average Rate of Change
,
Substitute using the average rate of change formula.
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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.
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Pull out imaginary unit .
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Rewrite as .
Rewrite as .
Rewrite as .
Simplify the numerator.
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Any root of is .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Move to the left of .
Multiply by .
Simplify the denominator.
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Multiply by .
Add and .
Split the fraction into two fractions.
Move the negative in front of the fraction.
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