Precalculus Examples

Find the Average Rate of Change f(x)=1/2(3)^x
Step 1
Consider the difference quotient formula.
Step 2
Find the components of the definition.
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Step 2.1
Evaluate the function at .
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Step 2.1.1
Replace the variable with in the expression.
Step 2.1.2
Simplify the result.
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Step 2.1.2.1
Combine and .
Step 2.1.2.2
The final answer is .
Step 2.2
Find the components of the definition.
Step 3
Plug in the components.
Step 4
Simplify.
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Step 4.1
Combine the numerators over the common denominator.
Step 4.2
Multiply the numerator by the reciprocal of the denominator.
Step 4.3
Multiply by .
Step 5