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NEST2020MathematicsContinuity and Differentiability

Let f: R R be defined by f(x)=[x]+ x-[x] . Here, [x] is the greatest integer function for x R and y is the positive square root of y for y R ⁺ . Then

Options

  1. Af is differentiable everywhere
  2. Bf is continous everywhere
  3. Cf is bijective
  4. Df is discontinous only at integer points

Correct answer

C. f is bijective

Step-by-step solution

No solution available.

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