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Let \(f(x)=\left[{x}^{2}-x\right]+|-x+[x]|\), where \(x\in R\) and [t] denotes the greatest integer less than or equal t…

Q1

Let \(f(x)=\left[{x}^{2}-x\right]+|-x+[x]|\), where \(x\in R\) and [t] denotes the greatest integer less than or equal to t. Then, f is

[JEE Main 2023, 11 Apr (Shift 1)]

a

continuous at x =0, but not continuous at x =1

b

not continuous at x=0 and x=1

c

continuous at x =1, but not continuous at x =0

d

continuous at x =0 and x =1

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