Precalculus Examples

Find the Average Rate of Change 3/4
Step 1
Write as a function.
Step 2
Consider the difference quotient formula.
Step 3
Find the components of the definition.
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Step 3.1
Evaluate the function at .
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Step 3.1.1
Replace the variable with in the expression.
Step 3.1.2
The final answer is .
Step 3.2
Find the components of the definition.
Step 4
Plug in the components.
Step 5
Simplify.
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Step 5.1
Simplify the numerator.
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Step 5.1.1
Combine the numerators over the common denominator.
Step 5.1.2
Subtract from .
Step 5.1.3
Divide by .
Step 5.2
Divide by .
Step 6