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Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_functions

Class 12 Maths · Relations And Functions · Mcq Single Correct #26

The function \(f:\mathbb{R}\to\mathbb{R}\) defined by \(f(x)=(x-1)(x-2)(x-3)\) is

✅ Step-by-Step Solution

Final Answer: Option (B): Onto but not one-one
  1. The distinct inputs 1, 2 and 3 all give 0. As a continuous cubic with positive leading coefficient, the function takes every real value.

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