Q. Let
$f (x) = {∣ ∣ 4 x^{2} - 8 x + 5 ∣ ∣, if 8 x^{2} - 6 x + 1 \geq 0 [4 x^{2} - 8 x + 5], if 8 x^{2} - 6 x + 1 < 0,$
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 ______.

240 114 JEE MainJEE Main 2022Relations and Functions - Part 2 Report Error

Answer: 3

Solution:

Q. Let f(x)={∣∣​4x2−8x+5∣∣​, if 8x2−6x+1≥0[4x2−8x+5], if 8x2−6x+1<0​, 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 ______.