Optimization of a Rational Function
Source:
June 13, 2009
functioncalculusderivativealgebradomain
Problem Statement
For values of less than but greater than \minus{}4, the expression
\frac{x^2 \minus{} 2x \plus{} 2}{2x \minus{} 2}
has:
(A)\ \text{no maximum or minimum value}\qquad \\
(B)\ \text{a minimum value of }{\plus{}1}\qquad \\
(C)\ \text{a maximum value of }{\plus{}1}\qquad \\
(D)\ \text{a minimum value of }{\minus{}1}\qquad \\
(E)\ \text{a maximum value of }{\minus{}1}