2010002110

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2010002110
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There is a part of the function \[ f(x)=\left\{\begin{matrix} &(x+6)^{-2}+2& x \in (-\infty;-5)\setminus\{-6\} \\ &3, & x \in [ -5;-3 ] \\ &1, & x \in (-3;-1) \\ &|x-1|-1& x \in [ -1,\infty)\setminus \{6\}\\ \end{matrix}\right. \] in the picture. Use the graph to determine at how many points of the given interval \([ -8; 7 ]\) is the function \(f\) defined and is not differentiable.
\( 4\)
\(3\)
\(5\)
\(6\)