2010002109

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2010002109
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There is a part of the function \[ f(x)=\left\{\begin{matrix} &-|x+2|+4,& x \in (-\infty;1)\setminus\{-3\} \\ &1, & x \in [ 1;2) \\ &2, & x \in [ 2;5] \\ &3-(x-6)^{-2} & x \in (5;\infty)\setminus \{6\}\\ \end{matrix}\right. \] in the picture. Use the graph to determine at how many points of the given interval \([ -4;8 ]\) is the function \(f\) defined and is not differentiable.
\(4\)
\(3\)
\(5\)
\(6\)