Finite Math 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.
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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Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Raise to the power of .
Multiply by .
Raise to the power of .
Raise to the power of .
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply .
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Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Find the common denominator.
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Multiply by .
Multiply by .
Write as a fraction with denominator .
Multiply by .
Multiply by .
Reorder the factors of .
Multiply by .
Combine the numerators over the common denominator.
Simplify each term.
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Multiply by .
Multiply by .
Simplify the expression.
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Subtract from .
Subtract from .
Move the negative in front of the fraction.
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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