Mathematics

Mathematics

Problem

Let f(x)=max⁡{(1+x),(1−x),2}f(x) = \max\{(1+x), (1-x), 2\} . Find the number of points where it is not differentiable. f(x)={1−x;x<−12;−1≤x≤11+x;x>1f(x) = \begin{cases} 1-x; & x < -1 \\ 2; & -1 \le x \le 1 \\ 1+x; & x > 1 \end{cases} ![](![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/c2111c51523c44a7aa134c65f7ef1f25/3ad4d1734817fe2ac05fe8d4da4f68e8_img.jpg))

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