Let f(x)={\\begin{array}{c}{|4 x^2-8 x+5 ∣\end{array}{,}\if 8 x^2-6 x+1 \geq 0 ; { [4 x^2-8 x+5] , \if 8 x^2-6 x+1< 0}}, 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 [25-Jul-2022-Shift-1]

JEE Mains 25-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 26 of 90

Marks: +1, -0

Let f(x)={

|4x2−8x+5∣,‌if‌8x2−6x+1≥0

[4x2−8x+5],if‌8x2−6x+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

[25-Jul-2022-Shift-1]

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\|4x2−8x+5\|	‌ if ‌8x2−6x+1≥0
[4x2−8x+5],	‌ if ‌8x2−6x+1<0.