Find The Maximum/Minimum Value F(x)=-x^2-7x-7 | Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Maximum/Minimum Value f(x)=-x^2-7x-7 Step 1The maximum of a quadratic function occurs at . If is negative, the maximum value of the function is . occurs at Step 2Find the value of .Tap for more steps...Step 2.1Substitute in the values of and .Step 2.2Remove parentheses.Step 2.3Simplify .Tap for more steps...Step 2.3.1Multiply by .Step 2.3.2Dividing two negative values results in a positive value.Step 3Evaluate .Tap for more steps...Step 3.1Replace the variable with in the expression.Step 3.2Simplify the result.Tap for more steps...Step 3.2.1Simplify each term.Tap for more steps...Step 3.2.1.1Use the power rule to distribute the exponent.Tap for more steps...Step 3.2.1.1.1Apply the product rule to .Step 3.2.1.1.2Apply the product rule to .Step 3.2.1.2Multiply by by adding the exponents.Tap for more steps...Step 3.2.1.2.1Move .Step 3.2.1.2.2Multiply by .Tap for more steps...Step 3.2.1.2.2.1Raise to the power of .Step 3.2.1.2.2.2Use the power rule to combine exponents.Step 3.2.1.2.3Add and .Step 3.2.1.3Raise to the power of .Step 3.2.1.4Raise to the power of .Step 3.2.1.5Raise to the power of .Step 3.2.1.6Multiply .Tap for more steps...Step 3.2.1.6.1Multiply by .Step 3.2.1.6.2Combine and .Step 3.2.1.6.3Multiply by .Step 3.2.2Find the common denominator.Tap for more steps...Step 3.2.2.1Multiply by .Step 3.2.2.2Multiply by .Step 3.2.2.3Write as a fraction with denominator .Step 3.2.2.4Multiply by .Step 3.2.2.5Multiply by .Step 3.2.2.6Multiply by .Step 3.2.3Combine the numerators over the common denominator.Step 3.2.4Simplify each term.Tap for more steps...Step 3.2.4.1Multiply by .Step 3.2.4.2Multiply by .Step 3.2.5Simplify by adding and subtracting.Tap for more steps...Step 3.2.5.1Add and .Step 3.2.5.2Subtract from .Step 3.2.6The final answer is .Step 4Use the and values to find where the maximum occurs.Step 5

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