A Piecewise Positivity Condition

★ 6/10functions Absolute Value algebra inequality Casework

Problem

Let $f(x) = x|x - a| - 2a^2$ . If $f(x) > 0$ for all $x > 2$ , find the range of possible values of $a$ .

Answer

Solution

Difficulty	6/10
Topics	functions, Absolute Value, algebra, inequality, Casework

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