If f: R → [ − 1, 1], where f (x) = sin , (where [.] denote…

Maths Functions, Limits, Continuity and Differentiability General More Than One Correct MCQ

Published on: August 11, 2026

If f: R → [ − 1, 1], where f (x) = sin , (where [.] denotes the greatest integer function), then

f (x) is onto (b ) f (x) is into (c ) f (x) is periodic (d ) f (x) is many one

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The correct answer is:

CHECK THE SOLUTION.

(b,c,d)

f : R → [–1, 1] ⇒ f(x) = sin =

Many - one function

into function

Also f(x + 4) = sin = sin = sin

= f(x) and hence periodic

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