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Let f(x)=|x+1|−|2x−3|+|x+2|.

Find the smallest and largest possible values of f(x).

Solve the equation f(x)=0.

Solve the inequality |f(x)|≤1

 Jul 25, 2021
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Hello Guest!

 

Let f(x)=|x+1|−|2x−3|+|x+2|.

Find the smallest and largest possible values of f(x).   

                                              \(f(x)_{min}=-4\)                     \(f(x)_{max}=4\)

                                              \(x\in \mathbb R|\ -\infty \leq x\leq -2\)    \(1.5\leq x \leq \infty\)

 

Solve the equation f(x)=0.     \(x = 0\)

Solve the inequality |f(x)|≤1  \(x\in \mathbb R|-0.5\leq x\leq 0.5\)

asinus

laugh  !

 Jul 25, 2021

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