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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

  !