1. Tardigrade
  2. Question
  3. Mathematics
  4. Let f(x)= begincases |4 x2-8 x+5|, text if 8 x2-6 x+1 ≥ 0 [4 x2-8 x+5], text if 8 x2-6 x+1<0 endcases, where [α] denotes the greatest integer less than or equal to α. Then the number of points in R where f is not differentiable is .

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Q. Let
$f(x)= \begin{cases} \left|4 x^2-8 x+5\right|, \text { if } 8 x^2-6 x+1 \geq 0 \\ {\left[4 x^2-8 x+5\right], \text { if } 8 x^2-6 x+1<0} \end{cases},$
where $[\alpha]$ denotes the greatest integer less than or equal to $\alpha$. Then the number of points in $R$ where $f$ is not differentiable is ______.

JEE MainJEE Main 2022Relations and Functions - Part 2

Solution:

Correct answer is '3'

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