Precalculus Examples

Find the Maximum/Minimum Value
Step 1
The minimum of a quadratic function occurs at . If is positive, the minimum value of the function is .
occurs at
Step 2
Find the value of .
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Substitute in the values of and .
Remove parentheses.
Simplify .
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Multiply by .
Step 3
Evaluate .
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Raising to any positive power yields .
Multiply by .
Add and .
The final answer is .
Step 4
Use the and values to find where the minimum occurs.
Step 5
Enter YOUR Problem
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