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MODEL PAPER 2025 — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMODEL PAPER 20251 Mark
MCQ
The function f : R → Z defined by$f(x)=[x]$; where $[$.$]$ denotes the greatest integer function, is
  • A
    Continuous at x = 2.5 but not differentiable at x = 2.5
  • B
    Not Continuous at x = 2.5 but differentiable at x = 2.5
  • C
    Not Continuous at x = 2.5 and not differentiable at x = 2.5
  • D
    Continuous as well as differentiable at x = 2.5
✓

Answer

The graph of the function $f: R \rightarrow R$ defined by $f(x)=[x]$; (where[.]denotes G.I.F ) is a straight continuous and differentiable at $x = 2 . 5$.

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