For$$\mathrm{f}(x)=2x^2-12x+13,\qquad1\le x\le4,$$ find the minimum and maximum values, stating wher

Question

For$$\mathrm{f}(x)=2x^2-12x+13,\qquad1\le x\le4,$$ find the minimum and maximum values, stating where they occur. Explain why the unrestricted quadratic has no maximum but the restricted function does.

Accepted Answer

Minimum $-5$ at $x=3$; Maximum $3$ at $x=1$

Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Solution:

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