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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 …

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

Continuous at \(x=0\) and \( x=1\)

c

Not continuous at \(x=0\) and \(x=1\)

d

Continuous at \(x=1\), but not continuous at \(x=0\)

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