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AP EAMCET202023 Sep 2020Morning ShiftMathematicsFunctionsActual

If f : R → R is defined as f ( x ) = x - [ x ] + 3 , ∀ x ∈ R , then f is

Options

  1. Anot a function
  2. Ba periodic function with period π
  3. Ca periodic function with period 1
  4. Dan invertible function

Correct answer

C. a periodic function with period 1

Step-by-step solution

f : R → R f ( x ) = x - [ x ] + 3 ⇒ f ( x ) = x + 3 x is periodic with period So, f ( x ) is periodic with period 1 .

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