Let f : R → R be a function such that f (x) = x 3 + x 2 + 3x + sin x. Then

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

Let f : R → R be a function such that
f (x) = x3 + x2 + 3x + sin x. Then
  1. f is one-one and into
  2. f is many-one and into
  3. f is one-one and onto
  4. f is many-one and onto

Answer

(C) f is one-one and onto

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