A Linear Coefficient Product

★ 7/10functions Linear Programming AM-GM inequality

Problem

The function $f(x) = ax + b$ satisfies $|f(x)| \leqslant 1$ for all $x \in [0, 1]$ . Find the range of possible values of $(a+1)(b+1)$ .

Answer

Solution

Difficulty	7/10
Topics	functions, Linear Programming, AM-GM, inequality

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