If \alpha \in \mathbb{R}-\{-1\} and {\f}( {\x})=|(| {\x}|+\alpha)(| {\x}|-1)|, then the number of points at which {\f}( {\x}) is not differentiable, is

Correct Answer is : 5, when α<0

AP EAPCET 17th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 63 of 160

Marks: +1, -0

If α∈ℝ−{−1} and f(x)=|(|x|+α)(|x|−1)|, then the number of points at which f(x) is not differentiable, is

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