Let f(x) = [ x² - x ] + | -x + [ x ] |, where x ∈ ℝ and [t] denot… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 11 April, Shift 1Continuity

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

A
Not continuous at $x = 0$ and at $x = 1$
B
Continuous at $x = 0$ and at $x = 1$
C
Continuous at $x = 1$ , but not continuous at $x = 0$
D
Continuous at $x = 0$ , but not continuous at $x = 1$

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